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Deck 3: Derivatives

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Question
Find the slope of the line tangent tangent to the graph a the given point

-y = 2x + 1, x = -2

A) m = 4
B) m = 2
C) m = -4
D) m = -2
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Question
Find the slope of the line tangent tangent to the graph a the given point

-y = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = - 2x + 3, x = -1</strong> A) m = 3 B) m = -1 C) m = -4 D) m = -2 <div style=padding-top: 35px> - 2x + 3, x = -1

A) m = 3
B) m = -1
C) m = -4
D) m = -2
Question
Find the slope of the line tangent tangent to the graph a the given point

-y= <strong>Find the slope of the line tangent tangent to the graph a the given point -y= + 10x, x = 8</strong> A) m = 144 B) m = 18 C) m = 26 D) m = 16 <div style=padding-top: 35px> + 10x, x = 8

A) m = 144
B) m = 18
C) m = 26
D) m = 16
Question
Find the slope of the line tangent tangent to the graph a the given point

-y = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - <div style=padding-top: 35px> , x = 6

A) m = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - <div style=padding-top: 35px>
B) m = - <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - <div style=padding-top: 35px>
C) m = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - <div style=padding-top: 35px>
D) m = - <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - <div style=padding-top: 35px>
Question
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = , ( 4, 16)</strong> A) y = 4x + 32 B) y = 12x - 32 C) y = 4x - 32 D) y = 32x + 12 <div style=padding-top: 35px> , ( 4, 16)

A) y = 4x + 32
B) y = 12x - 32
C) y = 4x - 32
D) y = 32x + 12
Question
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = - 3, ( -4, 13)</strong> A) y = -4x - 19 B) y = -8x - 35 C) y = -8x - 38 D) y = -8x - 19 <div style=padding-top: 35px> - 3, ( -4, 13)

A) y = -4x - 19
B) y = -8x - 35
C) y = -8x - 38
D) y = -8x - 19
Question
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = + 1, ( -4, 17)</strong> A) y = -8x - 15 B) y = -4x - 15 C) y = -8x - 30 D) y = -8x - 31 <div style=padding-top: 35px> + 1, ( -4, 17)

A) y = -8x - 15
B) y = -4x - 15
C) y = -8x - 30
D) y = -8x - 31
Question
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = - x, ( -3, 12)</strong> A) y = -7x + 9 B) y = -7x + 6 C) y = -7x - 6 D) y = -7x - 9 <div style=padding-top: 35px> - x, ( -3, 12)

A) y = -7x + 9
B) y = -7x + 6
C) y = -7x - 6
D) y = -7x - 9
Question
Find an equation for the tangent to the curve at the given point.

-y = x - <strong>Find an equation for the tangent to the curve at the given point. -y = x - , ( 2, -2)</strong> A) y = 5x + 4 B) y = -3x + 4 C) y = 5x - 4 D) y = 3x + 4 <div style=padding-top: 35px> , ( 2, -2)

A) y = 5x + 4
B) y = -3x + 4
C) y = 5x - 4
D) y = 3x + 4
Question
Find an equation for the tangent to the curve at the given point.

-h(x) = <strong>Find an equation for the tangent to the curve at the given point. -h(x) = - 36t - 5, ( 6, -5)</strong> A) y = 67t - 437 B) y = -5 C) y = 72t - 437 D) y = 72t - 5 <div style=padding-top: 35px> - 36t - 5, ( 6, -5)

A) y = 67t - 437
B) y = -5
C) y = 72t - 437
D) y = 72t - 5
Question
Find an equation for the tangent to the curve at the given point.

-f(x) = 6 <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 <div style=padding-top: 35px> - x + 9, ( 36, 9)

A) y = - <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 <div style=padding-top: 35px> x + 9
B) y = <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 <div style=padding-top: 35px> x - 27
C) y = 9
D) y = - <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 <div style=padding-top: 35px> x + 27
Question
Graph the equation and its tangent.

-Graph y = 2 <strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px> and the tangent to the curve at the point whose x-coordinate is 1.
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Graph the equation and its tangent.

-Graph y = 4 <strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px> and the tangent to the curve at the point whose x-coordinate is -2.
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Graph the equation and its tangent.

-Graph y = x2 - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1.
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Graph the equation and its tangent.

-Graph y = x2 - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2.
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Graph the equation and its tangent.

-Graph y = <strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px> + 5 and the tangent to the curve at the point whose x-coordinate is 0.
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = 5x + 9; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (2)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (x) = 5; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (2) = 5
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (x) = 9; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (2) = 9
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (x) = 5x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (2) = 10
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (x) = 0; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 <div style=padding-top: 35px> (2) = 0
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = 3x2 - 4x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (3)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (x) = 6x - 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (3) = 14
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (x) = 2x- 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (3) = 2
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (x) = 3x - 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (3) = 5
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (x) = 6x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 <div style=padding-top: 35px> (3) = 18
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = x2 + 7x - 2; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (0)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (x) = 2x + 7; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (0) = 7
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (x) = 2x - 2; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (0) = - 2
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (x) = x + 7; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (0) = 7
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (x) = 2x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 <div style=padding-top: 35px> (0) = 0
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = x3 + 5x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) <div style=padding-top: 35px> (1)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px> ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px> (-1)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = - <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px> ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px> (-2)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px> ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px> (0)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-<strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px> if s = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px> - t

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Calculate the derivative of the function. Then find the value of the derivative as specified.

-<strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px> if r = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. <div style=padding-top: 35px> (50).

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. <div style=padding-top: 35px> (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. <div style=padding-top: 35px> (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles.
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. <div style=padding-top: 35px> (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles.
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. <div style=padding-top: 35px> (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles.
Question
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-Suppose that the speed of a train approaching a station is given by v (t) = <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> , for 0 ≤\le t ≤\le 8, where t is measured in seconds and v(t) is measured in meters per second. Find <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> (5).

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> at t = 5 s.
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> at t = 5 s.
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. <div style=padding-top: 35px> at t = 5 s.
Question
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px> (1) and <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px> (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) <div style=padding-top: 35px> .
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px> <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-Use the following information to graph the function f over the closed interval [-5, 6].
i. The graph of f is made of closed line segments joined end to end.
ii. The graph starts at the point (-5, 1).
iii. The derivative of f is the step function in the figure shown here.
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px> <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-Sketch the derivative of the graph.
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D) <div style=padding-top: 35px>

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D) <div style=padding-top: 35px>
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D) <div style=padding-top: 35px>
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D) <div style=padding-top: 35px>
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px> for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px> (a) for the given values of a.

-f(x) = <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px> - 4x; a = -2, 3

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px> for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px> (a) for the given values of a.

-f(s) = <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px> ; a = -1, <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px> for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px> (a) for the given values of a.

-A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px> + 30t.
a.Find the instantaneous velocity function v (t).
b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) <div style=padding-top: 35px>
Question
a. Find the derivative function f? for the function f.
b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a.

-f(x) = 6 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> - 5x - 2; a = 1

A) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> (x) = 12 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> - 5; b. tangent line is y = 7x + 1
B) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> (x) = 12x - 5; b. tangent line is y = 7x - 8
C) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> (x) = 12x - 5; b. tangent line is y = 12x - 13
D) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> (x) = 12 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 <div style=padding-top: 35px> - 5; b. tangent line is y = 12x + 1
Question
a. Find the derivative function f? for the function f.
b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a.

-f(x) = <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) <div style=padding-top: 35px> ; a = -1

A) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) <div style=padding-top: 35px>
Question
Find the derivative.

-y = x14

A) 14 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13 <div style=padding-top: 35px>
B) 13 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13 <div style=padding-top: 35px>
C) 14x14
D) 13 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13 <div style=padding-top: 35px>
Question
Find the derivative.

-y = 12

A) 0
B) 12
C) 11
D) 1
Question
Find the derivative.

-y = - 7 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35 <div style=padding-top: 35px>

A) - 7 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35 <div style=padding-top: 35px>
B) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35 <div style=padding-top: 35px>
C) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35 <div style=padding-top: 35px>
D) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35 <div style=padding-top: 35px>
Question
Find the derivative.

-y = <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px> <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px>

A) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px> <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px>
B) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px> <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px>
C) 28 <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px>
D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px> <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <div style=padding-top: 35px>
Question
Find the derivative.

-y = 4 - 14x2

A) - 28x
B) 4 - 14x
C) - 28
D) 4 -28x
Question
Find the derivative.

-y = 3 - 5x3

A) -15x2
B) -10x2
C) 3 - 15x2
D) -15x
Question
Find the derivative.

-y = 3x4 - 4x3 - 5

A) 12x3 - 12x2
B) 4x3 + 3x2 - 7
C) 4x3 + 3x2
D) 12x3 - 12x2 - 7
Question
Find the derivative.

-s = 3t2 - 8t + 9

A) 6t2 - 8
B) 3t - 8
C) 6t - 8
D) 3t2 - 8
Question
Find the derivative of the function

-g(t) = <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px> - <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px> + <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px>

A) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px>
B) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px>
C) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px>
D) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) <div style=padding-top: 35px>
Question
Find the derivative of the function

-f(x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px>

A) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px> (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px>
B) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px> (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px>
C) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px> (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px>
D) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px> (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = <div style=padding-top: 35px>
Question
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 4x - 2)( 4x + 1)

A) f'(x) = 16x - 4
B) f'(x) = 32x - 4
C) f'(x) = 32x - 2
D) f'(x) = 32x - 12
Question
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 2x - 3)( 5x3 - x2 + 1)

A) f'(x) = 10x3 + 17x2 - 51x + 2
B) f'(x) = 40x3 - 17x2 + 51x + 2
C) f'(x) = 30x3 + 51x2 - 17x + 2
D) f'(x) = 40x3 - 51x2 + 6x + 2
Question
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 6x + 5)2

A) f'(x) = 72x + 60
B) f'(x) = 36x + 25
C) f'(x) = 36x + 30
D) f'(x) = 12x + 10
Question
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = <strong>Find the derivative of the function by first expanding or simplifying the expression. -f(x) = </strong> A) f'(x) = x + 6 B) f'(x) = 1 C) f'(x) = 10x D) f'(x) = 5 <div style=padding-top: 35px>

A) f'(x) = x + 6
B) f'(x) = 1
C) f'(x) = 10x
D) f'(x) = 5
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = ; a = 2</strong> A) y = 1x - 2 B) y = 4x - 1 C) y = 1x + 1 D) y = 1x - 1 <div style=padding-top: 35px> ; a = 2

A) y = 1x - 2
B) y = 4x - 1
C) y = 1x + 1
D) y = 1x - 1
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = ; a = 4</strong> A) y = 32x + 12 B) y = 12x - 32 C) y = 4x + 32 D) y = 4x - 32 <div style=padding-top: 35px> ; a = 4

A) y = 32x + 12
B) y = 12x - 32
C) y = 4x + 32
D) y = 4x - 32
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - 2; a = 3</strong> A) y = 6x - 11 B) y = 3x - 11 C) y = 6x - 22 D) y = 6x - 20 <div style=padding-top: 35px> - 2; a = 3

A) y = 6x - 11
B) y = 3x - 11
C) y = 6x - 22
D) y = 6x - 20
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = + 1; a = 3</strong> A) y = 6x - 8 B) y = 6x - 16 C) y = 6x - 17 D) y = 3x - 8 <div style=padding-top: 35px> + 1; a = 3

A) y = 6x - 8
B) y = 6x - 16
C) y = 6x - 17
D) y = 3x - 8
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - x; a = 2</strong> A) y = 3x + 6 B) y = 3x - 6 C) y = 3x - 4 D) y = 3x + 4 <div style=padding-top: 35px> - x; a = 2

A) y = 3x + 6
B) y = 3x - 6
C) y = 3x - 4
D) y = 3x + 4
Question
Find an equation of the tangent line at x = a.

-y = x - <strong>Find an equation of the tangent line at x = a. -y = x - ; a = -4</strong> A) y = -7x + 16 B) y = -9x + 16 C) y = 9x + 16 D) y = -7x - 16 <div style=padding-top: 35px> ; a = -4

A) y = -7x + 16
B) y = -9x + 16
C) y = 9x + 16
D) y = -7x - 16
Question
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - 4x - 5; a = 2</strong> A) y = 3x - 21 B) y = 8x - 21 C) y = -5 D) y = 8x - 5 <div style=padding-top: 35px> - 4x - 5; a = 2

A) y = 3x - 21
B) y = 8x - 21
C) y = -5
D) y = 8x - 5
Question
Provide an appropriate response.

-The curve y = a <strong>Provide an appropriate response. -The curve y = a + bx + c passes through the point (2, 12) and is tangent to the line at the origin. Find a, b, and c.</strong> A) a = 2, b = 0, c = 0 B) a = 4, b = 0, c = 1 C) a = 0, b = 1, c = 4 D) a = 1, b = 4, c = 0 <div style=padding-top: 35px> + bx + c passes through the point (2, 12) and is tangent to the line <strong>Provide an appropriate response. -The curve y = a + bx + c passes through the point (2, 12) and is tangent to the line at the origin. Find a, b, and c.</strong> A) a = 2, b = 0, c = 0 B) a = 4, b = 0, c = 1 C) a = 0, b = 1, c = 4 D) a = 1, b = 4, c = 0 <div style=padding-top: 35px> at the origin. Find a, b, and c.

A) a = 2, b = 0, c = 0
B) a = 4, b = 0, c = 1
C) a = 0, b = 1, c = 4
D) a = 1, b = 4, c = 0
Question
Provide an appropriate response.

-The curves y = a <strong>Provide an appropriate response. -The curves y = a + b and y = 2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.</strong> A) a = -1, b = 1, c = -2 B) a = 1, b = 0, c = 2 C) a - 2, b = 1, c = -1 D) a = 1, b = -1, c = 2 <div style=padding-top: 35px> + b and y = 2 <strong>Provide an appropriate response. -The curves y = a + b and y = 2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.</strong> A) a = -1, b = 1, c = -2 B) a = 1, b = 0, c = 2 C) a - 2, b = 1, c = -1 D) a = 1, b = -1, c = 2 <div style=padding-top: 35px> + cx have a common tangent line at the point (-1, 0). Find a, b, and c.

A) a = -1, b = 1, c = -2
B) a = 1, b = 0, c = 2
C) a - 2, b = 1, c = -1
D) a = 1, b = -1, c = 2
Question
Provide an appropriate response.

-Find all points (x, y) on the graph of f(x) = 2 <strong>Provide an appropriate response. -Find all points (x, y) on the graph of f(x) = 2 -3x with tangent lines parallel to the line </strong> A) ( 6, 9) B) (0, 0), ( 3, 9) C) ( 3, 18) D) ( 3, 9) <div style=padding-top: 35px> -3x with tangent lines parallel to the line <strong>Provide an appropriate response. -Find all points (x, y) on the graph of f(x) = 2 -3x with tangent lines parallel to the line </strong> A) ( 6, 9) B) (0, 0), ( 3, 9) C) ( 3, 18) D) ( 3, 9) <div style=padding-top: 35px>

A) ( 6, 9)
B) (0, 0), ( 3, 9)
C) ( 3, 18)
D) ( 3, 9)
Question
Provide an appropriate response.

-Find all points (x, y) on the graph of y = <strong>Provide an appropriate response. -Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line </strong> A) ( 8, 2) B) (0, 0), ( 4, 2) C) (0, 0) D) (0, 0), ( 8, 2) <div style=padding-top: 35px> with tangent lines perpendicular to the line <strong>Provide an appropriate response. -Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line </strong> A) ( 8, 2) B) (0, 0), ( 4, 2) C) (0, 0) D) (0, 0), ( 8, 2) <div style=padding-top: 35px>

A) ( 8, 2)
B) (0, 0), ( 4, 2)
C) (0, 0)
D) (0, 0), ( 8, 2)
Question
Find the second derivative.

-y = 7x2 + 8x - 8

A) 14
B) 0
C) 7
D) 14x + 8
Question
Find the second derivative.

-y = 7x4 - 4x2 + 6

A) 84x2 - 8
B) 84x2 - 8x
C) 28x2 - 8x
D) 28x2 - 8
Question
Find the second derivative.

-y = 6x3 - 8x2 + 5

A) 16x - 36
B) 24x - 16
C) 16x - 24
D) 36x - 16
Question
Find the second derivative.

-s = <strong>Find the second derivative. -s = + 2</strong> A) 4t + 2 B) C) 2t D) 4t 2 <div style=padding-top: 35px> + 2

A) 4t + 2
B) <strong>Find the second derivative. -s = + 2</strong> A) 4t + 2 B) C) 2t D) 4t 2 <div style=padding-top: 35px>
C) 2t
D) 4t 2
Question
Find the second derivative.

-y = <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x <div style=padding-top: 35px> - 6

A) 11x
B) 11x - 6
C) <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x <div style=padding-top: 35px> <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x <div style=padding-top: 35px>
D) <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x <div style=padding-top: 35px> x
Question
Find the second derivative.

-y = 4x3 - 6x2 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4 <div style=padding-top: 35px>

A) 16x - 12 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4 <div style=padding-top: 35px>
B) 24x - 12 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4 <div style=padding-top: 35px>
C) 12x - 24 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4 <div style=padding-top: 35px>
D) 12x - 16 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4 <div style=padding-top: 35px>
Question
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(1) = 2, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 <div style=padding-top: 35px> (1) = -6, v(1) = 6, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 <div style=padding-top: 35px> (1) = -2. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 <div style=padding-top: 35px> (3v - u) at x = 1

A) -12
B) 20
C) 0
D) 16
Question
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(1) = 2, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 <div style=padding-top: 35px> (1) = -5, v(1) = 6, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 <div style=padding-top: 35px> (1) = -3. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 <div style=padding-top: 35px> (2u - 4v) at x = 1

A) -22
B) -20
C) 28
D) 2
Question
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(2) = 9, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 <div style=padding-top: 35px> (2) = 4, v(2) = -1, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 <div style=padding-top: 35px> (2) = -4. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 <div style=padding-top: 35px> (3v - u) at x = 2

A)6
B) -12
C) -8
D) -16
Question
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(2) = 7, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 <div style=padding-top: 35px> (2) = 3, v(2) = -1, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 <div style=padding-top: 35px> (2) = -4. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 <div style=padding-top: 35px> (2u - 4v) at x = 2

A) 10
B) 18
C) -10
D) 22
Question
Solve the problem.

-For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula <strong>Solve the problem. -For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula Find the instantaneous rate of change of distance with respect to velocity when the speed is 47 mph.</strong> A) 4.7 mph B) 5.7 mph C) 48 mph D) 11.4 mph <div style=padding-top: 35px> Find the instantaneous rate of change of distance with respect to velocity when the speed is 47 mph.

A) 4.7 mph
B) 5.7 mph
C) 48 mph
D) 11.4 mph
Question
Solve the problem.

-The power P (in W) generated by a particular windmill is given by <strong>Solve the problem. -The power P (in W) generated by a particular windmill is given by where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is </strong> A) 14.4 W/mph B) 0.5 W/mph C) 51.8 W/mph D) 6.5 W/mph <div style=padding-top: 35px> where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is <strong>Solve the problem. -The power P (in W) generated by a particular windmill is given by where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is </strong> A) 14.4 W/mph B) 0.5 W/mph C) 51.8 W/mph D) 6.5 W/mph <div style=padding-top: 35px>

A) 14.4 W/mph
B) 0.5 W/mph
C) 51.8 W/mph
D) 6.5 W/mph
Question
Solve the problem.

-The equation for free fall at the surface of Planet X is <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec <div style=padding-top: 35px> with t in seconds. Assume a rock is dropped from the top of a <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec <div style=padding-top: 35px> cliff. Find the speed of the rock at <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec <div style=padding-top: 35px>

A) 36.96 m/sec
B) 76.92 m/sec
C) 75.92 m/sec
D) 37.96 m/sec
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Deck 3: Derivatives
1
Find the slope of the line tangent tangent to the graph a the given point

-y = 2x + 1, x = -2

A) m = 4
B) m = 2
C) m = -4
D) m = -2
m = 2
2
Find the slope of the line tangent tangent to the graph a the given point

-y = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = - 2x + 3, x = -1</strong> A) m = 3 B) m = -1 C) m = -4 D) m = -2 - 2x + 3, x = -1

A) m = 3
B) m = -1
C) m = -4
D) m = -2
m = -4
3
Find the slope of the line tangent tangent to the graph a the given point

-y= <strong>Find the slope of the line tangent tangent to the graph a the given point -y= + 10x, x = 8</strong> A) m = 144 B) m = 18 C) m = 26 D) m = 16 + 10x, x = 8

A) m = 144
B) m = 18
C) m = 26
D) m = 16
m = 26
4
Find the slope of the line tangent tangent to the graph a the given point

-y = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = - , x = 6

A) m = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = -
B) m = - <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = -
C) m = <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = -
D) m = - <strong>Find the slope of the line tangent tangent to the graph a the given point -y = , x = 6</strong> A) m = B) m = - C) m = D) m = -
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5
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = , ( 4, 16)</strong> A) y = 4x + 32 B) y = 12x - 32 C) y = 4x - 32 D) y = 32x + 12 , ( 4, 16)

A) y = 4x + 32
B) y = 12x - 32
C) y = 4x - 32
D) y = 32x + 12
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6
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = - 3, ( -4, 13)</strong> A) y = -4x - 19 B) y = -8x - 35 C) y = -8x - 38 D) y = -8x - 19 - 3, ( -4, 13)

A) y = -4x - 19
B) y = -8x - 35
C) y = -8x - 38
D) y = -8x - 19
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7
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = + 1, ( -4, 17)</strong> A) y = -8x - 15 B) y = -4x - 15 C) y = -8x - 30 D) y = -8x - 31 + 1, ( -4, 17)

A) y = -8x - 15
B) y = -4x - 15
C) y = -8x - 30
D) y = -8x - 31
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8
Find an equation for the tangent to the curve at the given point.

-y = <strong>Find an equation for the tangent to the curve at the given point. -y = - x, ( -3, 12)</strong> A) y = -7x + 9 B) y = -7x + 6 C) y = -7x - 6 D) y = -7x - 9 - x, ( -3, 12)

A) y = -7x + 9
B) y = -7x + 6
C) y = -7x - 6
D) y = -7x - 9
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9
Find an equation for the tangent to the curve at the given point.

-y = x - <strong>Find an equation for the tangent to the curve at the given point. -y = x - , ( 2, -2)</strong> A) y = 5x + 4 B) y = -3x + 4 C) y = 5x - 4 D) y = 3x + 4 , ( 2, -2)

A) y = 5x + 4
B) y = -3x + 4
C) y = 5x - 4
D) y = 3x + 4
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10
Find an equation for the tangent to the curve at the given point.

-h(x) = <strong>Find an equation for the tangent to the curve at the given point. -h(x) = - 36t - 5, ( 6, -5)</strong> A) y = 67t - 437 B) y = -5 C) y = 72t - 437 D) y = 72t - 5 - 36t - 5, ( 6, -5)

A) y = 67t - 437
B) y = -5
C) y = 72t - 437
D) y = 72t - 5
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11
Find an equation for the tangent to the curve at the given point.

-f(x) = 6 <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 - x + 9, ( 36, 9)

A) y = - <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 x + 9
B) y = <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 x - 27
C) y = 9
D) y = - <strong>Find an equation for the tangent to the curve at the given point. -f(x) = 6 - x + 9, ( 36, 9)</strong> A) y = - x + 9 B) y = x - 27 C) y = 9 D) y = - x + 27 x + 27
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12
Graph the equation and its tangent.

-Graph y = 2 <strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D) and the tangent to the curve at the point whose x-coordinate is 1.
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)

A)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
B)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
C)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
D)
<strong>Graph the equation and its tangent. -Graph y = 2 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
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13
Graph the equation and its tangent.

-Graph y = 4 <strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D) and the tangent to the curve at the point whose x-coordinate is -2.
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)

A)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
B)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
C)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
D)
<strong>Graph the equation and its tangent. -Graph y = 4 <sup> </sup>and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
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14
Graph the equation and its tangent.

-Graph y = x2 - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1.
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)

A)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
B)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
C)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
D)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x + 1 and the tangent to the curve at the point whose x-coordinate is 1. </strong> A) B) C) D)
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15
Graph the equation and its tangent.

-Graph y = x2 - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2.
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)

A)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
B)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
C)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
D)
<strong>Graph the equation and its tangent. -Graph y = x<sup>2</sup> - 2x - 3 and the tangent to the curve at the point whose x-coordinate is -2. </strong> A) B) C) D)
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16
Graph the equation and its tangent.

-Graph y = <strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D) + 5 and the tangent to the curve at the point whose x-coordinate is 0.
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D)

A)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D)
B)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D)
C)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D)
D)
<strong>Graph the equation and its tangent. -Graph y = + 5<sup> </sup>and the tangent to the curve at the point whose x-coordinate is 0. </strong> A) B) C) D)
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17
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = 5x + 9; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (2)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (x) = 5; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (2) = 5
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (x) = 9; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (2) = 9
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (x) = 5x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (2) = 10
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (x) = 0; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = 5x + 9; (2)</strong> A) (x) = 5; (2) = 5 B) (x) = 9; (2) = 9 C) (x) = 5x; (2) = 10 D) (x) = 0; (2) = 0 (2) = 0
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18
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = 3x2 - 4x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (3)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (x) = 6x - 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (3) = 14
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (x) = 2x- 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (3) = 2
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (x) = 3x - 4; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (3) = 5
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (x) = 6x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = 3x<sup>2</sup> - 4x; (3)</strong> A) (x) = 6x - 4; (3) = 14 B) (x) = 2x- 4; (3) = 2 C) (x) = 3x - 4; (3) = 5 D) (x) = 6x; (3) = 18 (3) = 18
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19
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = x2 + 7x - 2; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (0)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (x) = 2x + 7; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (0) = 7
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (x) = 2x - 2; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (0) = - 2
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (x) = x + 7; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (0) = 7
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (x) = 2x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = x<sup>2</sup> + 7x - 2; (0)</strong> A) (x) = 2x + 7; <sup> </sup> <sup> </sup> (0) = 7 B) (x) = 2x - 2; (0) = - 2 C) (x) = x + 7; (0) = 7 D) (x) = 2x; (0) = 0 (0) = 0
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20
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = x3 + 5x; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D) (1)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = x<sup>3</sup> + 5x; (1)</strong> A) B) C) D)
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21
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D) (-1)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (-1)</strong> A) B) C) D)
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22
Calculate the derivative of the function. Then find the value of the derivative as specified.

-g(x) = - <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D) (-2)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -g(x) = - ; (-2)</strong> A) B) C) D)
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23
Calculate the derivative of the function. Then find the value of the derivative as specified.

-f(x) = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) ; <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D) (0)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. -f(x) = ; (0)</strong> A) B) C) D)
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24
Calculate the derivative of the function. Then find the value of the derivative as specified.

-<strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) if s = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D) - t

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if s = - t</strong> A) B) C) D)
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25
Calculate the derivative of the function. Then find the value of the derivative as specified.

-<strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D) if r = <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D)

A) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D)
B) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D)
C) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D)
D) <strong>Calculate the derivative of the function. Then find the value of the derivative as specified. - if r = </strong> A) B) C) D)
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26
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. (50).

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles.
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles.
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find (50).</strong> A) (50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles. B) (50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. C) (50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. D) (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. (50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles.
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27
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-Suppose that the speed of a train approaching a station is given by v (t) = <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. , for 0 ≤\le t ≤\le 8, where t is measured in seconds and v(t) is measured in meters per second. Find <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. (5).

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s.
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. at t = 5 s.
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. at t = 5 s.
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -Suppose that the speed of a train approaching a station is given by v (t) = , for 0 \le t \le 8, where t is measured in seconds and v(t) is measured in meters per second. Find (5).</strong> A) (5) = -3 m/s; the instantaneous rate of change in the train's speed is -3 m/s at t = 5 s. B) (5) = 6 m/s per second; the instantaneous rate of change in the train's speed is 6 m/ at t = 5 s. C) (5) = -3 m/s per second; the instantaneous rate of change in the train's speed is -3 m/ at t = 5 s. D) (5) = -6 m/s per second; the instantaneous rate of change in the train's speed is -6 m/ at t = 5 s. at t = 5 s.
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28
Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.

-The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) (1) and <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D) (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D)

A) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D)
B) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D)
C) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D)
D) <strong>Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer. -The amount of a medication (in mg) in the bloodstream t hours after the medication is taken is given by M(t). Estimate the values of (1) and (6), rounding to the nearest whole number. Include units on your answers and interpret the physical meaning of these values. </strong> A) B) C) D)
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29
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
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30
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
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31
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
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32
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
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33
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) C) D)
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34
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D) .
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. - </strong> A) B) . C) D)
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35
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D) <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -The graph of y = f(x) in the accompanying figure is made of line segments joined end to end. Graph the derivative of f. </strong> A) B) C) D)
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36
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-Use the following information to graph the function f over the closed interval [-5, 6].
i. The graph of f is made of closed line segments joined end to end.
ii. The graph starts at the point (-5, 1).
iii. The derivative of f is the step function in the figure shown here.
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D) <strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Use the following information to graph the function f over the closed interval [-5, 6]. i. The graph of f is made of closed line segments joined end to end. ii. The graph starts at the point (-5, 1). iii. The derivative of f is the step function in the figure shown here. </strong> A) B) C) D)
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37
The graph of a function is given. Choose the answer that represents the graph of its derivative.

-Sketch the derivative of the graph.
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D)

A)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D)
B)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D)
C)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D)
D)
<strong>The graph of a function is given. Choose the answer that represents the graph of its derivative. -Sketch the derivative of the graph. </strong> A) B) C) D)
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38
Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) (a) for the given values of a.

-f(x) = <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D) - 4x; a = -2, 3

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D)
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D)
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D)
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(x) = - 4x; a = -2, 3</strong> A) B) C) D)
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Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) (a) for the given values of a.

-f(s) = <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D) ; a = -1, <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D)

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D)
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D)
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D)
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -f(s) = ; a = -1, </strong> A) B) C) D)
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40
Use limits to find the derivative function <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) for the given function f. Then evaluate <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) (a) for the given values of a.

-A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D) + 30t.
a.Find the instantaneous velocity function v (t).
b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.

A) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D)
B) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D)
C) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D)
D) <strong>Use limits to find the derivative function for the given function f. Then evaluate (a) for the given values of a. -A projectile is fired vertically upward into the air, and its position (in meters) above the ground after t seconds is given by the function s(t) = -4.9 + 30t. a.Find the instantaneous velocity function v (t). b. Determine the instantaneous velocity of the projectile at t = 1 and t = 2 seconds.</strong> A) B) C) D)
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41
a. Find the derivative function f? for the function f.
b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a.

-f(x) = 6 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 - 5x - 2; a = 1

A) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 (x) = 12 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 - 5; b. tangent line is y = 7x + 1
B) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 (x) = 12x - 5; b. tangent line is y = 7x - 8
C) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 (x) = 12x - 5; b. tangent line is y = 12x - 13
D) a. <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 (x) = 12 <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = 6 - 5x - 2; a = 1</strong> A) a. (x) = 12 - 5; b. tangent line is y = 7x + 1 B) a. (x) = 12x - 5; b. tangent line is y = 7x - 8 C) a. (x) = 12x - 5; b. tangent line is y = 12x - 13 D) a. (x) = 12 - 5; b. tangent line is y = 12x + 1 - 5; b. tangent line is y = 12x + 1
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42
a. Find the derivative function f? for the function f.
b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a.

-f(x) = <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D) ; a = -1

A) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D)
B) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D)
C) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D)
D) <strong>a. Find the derivative function f? for the function f. b. Find an equation of the line tangent to the graph of f at (a, f(a)) for the given value of a. -f(x) = ; a = -1</strong> A) B) C) D)
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43
Find the derivative.

-y = x14

A) 14 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13
B) 13 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13
C) 14x14
D) 13 <strong>Find the derivative. -y = x<sup>14</sup></strong> A) 14 B) 13 C) 14x<sup>14</sup> D) 13
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44
Find the derivative.

-y = 12

A) 0
B) 12
C) 11
D) 1
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45
Find the derivative.

-y = - 7 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35

A) - 7 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35
B) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35
C) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35
D) - 35 <strong>Find the derivative. -y = - 7 </strong> A) - 7 B) - 35 C) - 35 D) - 35
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46
Find the derivative.

-y = <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D)

A) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D)
B) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D)
C) 28 <strong>Find the derivative. -y = </strong> A) B) C) 28 D)
D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D) <strong>Find the derivative. -y = </strong> A) B) C) 28 D)
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47
Find the derivative.

-y = 4 - 14x2

A) - 28x
B) 4 - 14x
C) - 28
D) 4 -28x
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48
Find the derivative.

-y = 3 - 5x3

A) -15x2
B) -10x2
C) 3 - 15x2
D) -15x
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49
Find the derivative.

-y = 3x4 - 4x3 - 5

A) 12x3 - 12x2
B) 4x3 + 3x2 - 7
C) 4x3 + 3x2
D) 12x3 - 12x2 - 7
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50
Find the derivative.

-s = 3t2 - 8t + 9

A) 6t2 - 8
B) 3t - 8
C) 6t - 8
D) 3t2 - 8
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51
Find the derivative of the function

-g(t) = <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) - <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D) + <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D)

A) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D)
B) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D)
C) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D)
D) <strong>Find the derivative of the function -g(t) = - + </strong> A) B) C) D)
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52
Find the derivative of the function

-f(x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) =

A) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) =
B) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) =
C) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) =
D) <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) = (x) = <strong>Find the derivative of the function -f(x) = </strong> A) (x) = B) (x) = C) (x) = D) (x) =
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53
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 4x - 2)( 4x + 1)

A) f'(x) = 16x - 4
B) f'(x) = 32x - 4
C) f'(x) = 32x - 2
D) f'(x) = 32x - 12
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54
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 2x - 3)( 5x3 - x2 + 1)

A) f'(x) = 10x3 + 17x2 - 51x + 2
B) f'(x) = 40x3 - 17x2 + 51x + 2
C) f'(x) = 30x3 + 51x2 - 17x + 2
D) f'(x) = 40x3 - 51x2 + 6x + 2
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55
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = ( 6x + 5)2

A) f'(x) = 72x + 60
B) f'(x) = 36x + 25
C) f'(x) = 36x + 30
D) f'(x) = 12x + 10
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56
Find the derivative of the function by first expanding or simplifying the expression.

-f(x) = <strong>Find the derivative of the function by first expanding or simplifying the expression. -f(x) = </strong> A) f'(x) = x + 6 B) f'(x) = 1 C) f'(x) = 10x D) f'(x) = 5

A) f'(x) = x + 6
B) f'(x) = 1
C) f'(x) = 10x
D) f'(x) = 5
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57
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = ; a = 2</strong> A) y = 1x - 2 B) y = 4x - 1 C) y = 1x + 1 D) y = 1x - 1 ; a = 2

A) y = 1x - 2
B) y = 4x - 1
C) y = 1x + 1
D) y = 1x - 1
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58
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = ; a = 4</strong> A) y = 32x + 12 B) y = 12x - 32 C) y = 4x + 32 D) y = 4x - 32 ; a = 4

A) y = 32x + 12
B) y = 12x - 32
C) y = 4x + 32
D) y = 4x - 32
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59
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - 2; a = 3</strong> A) y = 6x - 11 B) y = 3x - 11 C) y = 6x - 22 D) y = 6x - 20 - 2; a = 3

A) y = 6x - 11
B) y = 3x - 11
C) y = 6x - 22
D) y = 6x - 20
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60
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = + 1; a = 3</strong> A) y = 6x - 8 B) y = 6x - 16 C) y = 6x - 17 D) y = 3x - 8 + 1; a = 3

A) y = 6x - 8
B) y = 6x - 16
C) y = 6x - 17
D) y = 3x - 8
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61
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - x; a = 2</strong> A) y = 3x + 6 B) y = 3x - 6 C) y = 3x - 4 D) y = 3x + 4 - x; a = 2

A) y = 3x + 6
B) y = 3x - 6
C) y = 3x - 4
D) y = 3x + 4
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62
Find an equation of the tangent line at x = a.

-y = x - <strong>Find an equation of the tangent line at x = a. -y = x - ; a = -4</strong> A) y = -7x + 16 B) y = -9x + 16 C) y = 9x + 16 D) y = -7x - 16 ; a = -4

A) y = -7x + 16
B) y = -9x + 16
C) y = 9x + 16
D) y = -7x - 16
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63
Find an equation of the tangent line at x = a.

-y = <strong>Find an equation of the tangent line at x = a. -y = - 4x - 5; a = 2</strong> A) y = 3x - 21 B) y = 8x - 21 C) y = -5 D) y = 8x - 5 - 4x - 5; a = 2

A) y = 3x - 21
B) y = 8x - 21
C) y = -5
D) y = 8x - 5
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64
Provide an appropriate response.

-The curve y = a <strong>Provide an appropriate response. -The curve y = a + bx + c passes through the point (2, 12) and is tangent to the line at the origin. Find a, b, and c.</strong> A) a = 2, b = 0, c = 0 B) a = 4, b = 0, c = 1 C) a = 0, b = 1, c = 4 D) a = 1, b = 4, c = 0 + bx + c passes through the point (2, 12) and is tangent to the line <strong>Provide an appropriate response. -The curve y = a + bx + c passes through the point (2, 12) and is tangent to the line at the origin. Find a, b, and c.</strong> A) a = 2, b = 0, c = 0 B) a = 4, b = 0, c = 1 C) a = 0, b = 1, c = 4 D) a = 1, b = 4, c = 0 at the origin. Find a, b, and c.

A) a = 2, b = 0, c = 0
B) a = 4, b = 0, c = 1
C) a = 0, b = 1, c = 4
D) a = 1, b = 4, c = 0
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65
Provide an appropriate response.

-The curves y = a <strong>Provide an appropriate response. -The curves y = a + b and y = 2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.</strong> A) a = -1, b = 1, c = -2 B) a = 1, b = 0, c = 2 C) a - 2, b = 1, c = -1 D) a = 1, b = -1, c = 2 + b and y = 2 <strong>Provide an appropriate response. -The curves y = a + b and y = 2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.</strong> A) a = -1, b = 1, c = -2 B) a = 1, b = 0, c = 2 C) a - 2, b = 1, c = -1 D) a = 1, b = -1, c = 2 + cx have a common tangent line at the point (-1, 0). Find a, b, and c.

A) a = -1, b = 1, c = -2
B) a = 1, b = 0, c = 2
C) a - 2, b = 1, c = -1
D) a = 1, b = -1, c = 2
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66
Provide an appropriate response.

-Find all points (x, y) on the graph of f(x) = 2 <strong>Provide an appropriate response. -Find all points (x, y) on the graph of f(x) = 2 -3x with tangent lines parallel to the line </strong> A) ( 6, 9) B) (0, 0), ( 3, 9) C) ( 3, 18) D) ( 3, 9) -3x with tangent lines parallel to the line <strong>Provide an appropriate response. -Find all points (x, y) on the graph of f(x) = 2 -3x with tangent lines parallel to the line </strong> A) ( 6, 9) B) (0, 0), ( 3, 9) C) ( 3, 18) D) ( 3, 9)

A) ( 6, 9)
B) (0, 0), ( 3, 9)
C) ( 3, 18)
D) ( 3, 9)
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67
Provide an appropriate response.

-Find all points (x, y) on the graph of y = <strong>Provide an appropriate response. -Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line </strong> A) ( 8, 2) B) (0, 0), ( 4, 2) C) (0, 0) D) (0, 0), ( 8, 2) with tangent lines perpendicular to the line <strong>Provide an appropriate response. -Find all points (x, y) on the graph of y = with tangent lines perpendicular to the line </strong> A) ( 8, 2) B) (0, 0), ( 4, 2) C) (0, 0) D) (0, 0), ( 8, 2)

A) ( 8, 2)
B) (0, 0), ( 4, 2)
C) (0, 0)
D) (0, 0), ( 8, 2)
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68
Find the second derivative.

-y = 7x2 + 8x - 8

A) 14
B) 0
C) 7
D) 14x + 8
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69
Find the second derivative.

-y = 7x4 - 4x2 + 6

A) 84x2 - 8
B) 84x2 - 8x
C) 28x2 - 8x
D) 28x2 - 8
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70
Find the second derivative.

-y = 6x3 - 8x2 + 5

A) 16x - 36
B) 24x - 16
C) 16x - 24
D) 36x - 16
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71
Find the second derivative.

-s = <strong>Find the second derivative. -s = + 2</strong> A) 4t + 2 B) C) 2t D) 4t 2 + 2

A) 4t + 2
B) <strong>Find the second derivative. -s = + 2</strong> A) 4t + 2 B) C) 2t D) 4t 2
C) 2t
D) 4t 2
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72
Find the second derivative.

-y = <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x - 6

A) 11x
B) 11x - 6
C) <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x
D) <strong>Find the second derivative. -y = - 6</strong> A) 11x B) 11x - 6 C) D) x x
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73
Find the second derivative.

-y = 4x3 - 6x2 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4

A) 16x - 12 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4
B) 24x - 12 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4
C) 12x - 24 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4
D) 12x - 16 + 4 <strong>Find the second derivative. -y = 4x<sup>3</sup> - 6x<sup>2</sup> + 4 </strong> A) 16x - 12 + 4 B) 24x - 12 + 4 C) 12x - 24 + 4 D) 12x - 16 + 4
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74
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(1) = 2, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 (1) = -6, v(1) = 6, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 (1) = -2. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -6, v(1) = 6, (1) = -2. (3v - u) at x = 1</strong> A) -12 B) 20 C) 0 D) 16 (3v - u) at x = 1

A) -12
B) 20
C) 0
D) 16
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75
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(1) = 2, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 (1) = -5, v(1) = 6, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 (1) = -3. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(1) = 2, (1) = -5, v(1) = 6, (1) = -3. (2u - 4v) at x = 1</strong> A) -22 B) -20 C) 28 D) 2 (2u - 4v) at x = 1

A) -22
B) -20
C) 28
D) 2
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76
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(2) = 9, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 (2) = 4, v(2) = -1, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 (2) = -4. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 9, (2) = 4, v(2) = -1, (2) = -4. (3v - u) at x = 2</strong> A)6 B) -12 C) -8 D) -16 (3v - u) at x = 2

A)6
B) -12
C) -8
D) -16
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77
Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.

-u(2) = 7, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 (2) = 3, v(2) = -1, <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 (2) = -4. <strong>Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative. -u(2) = 7, (2) = 3, v(2) = -1, (2) = -4. (2u - 4v) at x = 2</strong> A) 10 B) 18 C) -10 D) 22 (2u - 4v) at x = 2

A) 10
B) 18
C) -10
D) 22
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78
Solve the problem.

-For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula <strong>Solve the problem. -For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula Find the instantaneous rate of change of distance with respect to velocity when the speed is 47 mph.</strong> A) 4.7 mph B) 5.7 mph C) 48 mph D) 11.4 mph Find the instantaneous rate of change of distance with respect to velocity when the speed is 47 mph.

A) 4.7 mph
B) 5.7 mph
C) 48 mph
D) 11.4 mph
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79
Solve the problem.

-The power P (in W) generated by a particular windmill is given by <strong>Solve the problem. -The power P (in W) generated by a particular windmill is given by where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is </strong> A) 14.4 W/mph B) 0.5 W/mph C) 51.8 W/mph D) 6.5 W/mph where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is <strong>Solve the problem. -The power P (in W) generated by a particular windmill is given by where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is </strong> A) 14.4 W/mph B) 0.5 W/mph C) 51.8 W/mph D) 6.5 W/mph

A) 14.4 W/mph
B) 0.5 W/mph
C) 51.8 W/mph
D) 6.5 W/mph
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80
Solve the problem.

-The equation for free fall at the surface of Planet X is <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec with t in seconds. Assume a rock is dropped from the top of a <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec cliff. Find the speed of the rock at <strong>Solve the problem. -The equation for free fall at the surface of Planet X is with t in seconds. Assume a rock is dropped from the top of a cliff. Find the speed of the rock at </strong> A) 36.96 m/sec B) 76.92 m/sec C) 75.92 m/sec D) 37.96 m/sec

A) 36.96 m/sec
B) 76.92 m/sec
C) 75.92 m/sec
D) 37.96 m/sec
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