Deck 3: Differentiation

Question 1

Estimate the slope of the curve at the indicated point.

A) 0
B) -1
C) Undefined
D) 1

Answer 1

C

Question 2

Estimate the slope of the curve at the indicated point.

Answer 2

C

Question 3

Graph the equation and its tangent.

Answer 3

A

Question 4

Find an equation for the tangent to the curve at the given point.

Question 5

Estimate the slope of the curve at the indicated point.

A) Undefined
B) 1
C) -1
D) 0

Question 6

Estimate the slope of the curve at the indicated point.

A) 0
B) -1
C) 1
D) Undefined

Question 7

Find an equation for the tangent to the curve at the given point.

Question 8

Graph the equation and its tangent.

Question 9

Estimate the slope of the curve at the indicated point.

A) -1
B) Undefined
C) 1
D) 0

Question 10

Find an equation for the tangent to the curve at the given point.

Question 11

Estimate the slope of the curve at the indicated point.

A) 1
B) Undefined
C) 0
D) -1

Question 12

Find an equation for the tangent to the curve at the given point.

Question 13

Graph the equation and its tangent.

Question 14

Find an equation for the tangent to the curve at the given point.

Question 15

Estimate the slope of the curve at the indicated point.

A) 2
B) - 12
C) -2
D) 12

Question 16

Graph the equation and its tangent.

Question 17

Estimate the slope of the curve at the indicated point.

A) - 12
B) 2
C) -2
D) 12

Question 18

Find an equation for the tangent to the curve at the given point.

Question 19

Find an equation for the tangent to the curve at the given point.

Question 20

Graph the equation and its tangent.

Question 21

Find the slope of the curve at the indicated point.

Question 22

Find the slope of the curve at the indicated point.

Question 23

Find the slope of the curve at the indicated point.

Question 24

Find the slope of the curve at the indicated point.

Question 25

Provide an appropriate response.

Question 26

Find the slope of the curve at the indicated point.

A) 8.1 W/mph
B) 3.6 W/mph
C) 0.4 W/mph
D) 21.9 W/mph

Question 27

Find the slope of the curve at the indicated point.

Question 28

Find the slope of the curve at the indicated point.

Question 29

Find the slope of the curve at the indicated point.

Question 30

Find the slope of the curve at the indicated point.

Question 31

Find the slope of the curve at the indicated point.

Question 32

Find the slope of the curve at the indicated point.

A) m = -6
B) m = -7
C) m = 2
D) m = -11

Question 33

Find the slope of the curve at the indicated point.

Question 34

Find the slope of the curve at the indicated point.
y = 7x - 9, x = -3

A) m = 21
B) m = -7
C) m = -21
D) m = 7

Question 35

Provide an appropriate response.

Question 36

Find the slope of the curve at the indicated point.

Question 37

Find the slope of the curve at the indicated point.

Question 38

Find the slope of the curve at the indicated point.

Question 39

Find the slope of the curve at the indicated point.

Question 40

Find the slope of the curve at the indicated point.

A) 5.6 mph
B) 47 mph
C) 11.2 mph
D) 4.6 mph

Question 41

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 42

Find the indicated derivative.

Question 43

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 44

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 45

Provide an appropriate response.

Question 46

Differentiate the function and find the slope of the tangent line at the given value of the independent variable.

Question 47

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 48

Find the indicated derivative.

Question 49

Differentiate the function and find the slope of the tangent line at the given value of the independent variable.

Question 50

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 51

Find the indicated derivative.

Question 52

Provide an appropriate response.

Question 53

Provide an appropriate response.

Question 54

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 55

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 56

Find the indicated derivative.

Question 57

Find an equation of the tangent line at the indicated point on the graph of the function.

Question 58

Differentiate the function and find the slope of the tangent line at the given value of the independent variable.

Question 59

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 60

Calculate the derivative of the function. Then find the value of the derivative as specified.

Question 61

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 62

Given the graph of f, find any values of x at which f  is not defined.

A) x = -3, 0, 3
B) x = -2, 0, 2
C) x = -2, 2
D) x = -3, 3

Question 63

Find an equation of the tangent line at the indicated point on the graph of the function.

Question 64

Find an equation of the tangent line at the indicated point on the graph of the function.

Question 65

Given the graph of f, find any values of x at which f  is not defined.

A) x = -2, 0, 2
B) x = -2, 2
C) x = 0
D) x = 2

Question 66

Given the graph of f, find any values of x at which f  is not defined.

A) x = 0, 3
B) x = 3
C) x = 0
D) Defined for all values of x

Question 67

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 68

Given the graph of f, find any values of x at which f  is not defined.

A) x = -1, 1
B) x = -1, 0, 1
C) x = 0
D) Defined for all values of x

Question 69

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 70

Given the graph of f, find any values of x at which f  is not defined.

A) x = 5
B) x = 2
C) x = 2, 5
D) Defined for all values of x

Question 71

Given the graph of f, find any values of x at which f  is not defined.

A) x = 0, 1, 2
B) x = 0
C) x = 1
D) x = 2

Question 72

Find an equation of the tangent line at the indicated point on the graph of the function.

Question 73

Find an equation of the tangent line at the indicated point on the graph of the function.

Question 74

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 75

Given the graph of f, find any values of x at which f  is not defined.

A) x = 0
B) x = -1
C) x = 1
D) x = 2

Question 76

Given the graph of f, find any values of x at which f  is not defined.

A) x = 0
B) x = -2, 0, 2
C) x = -2, 2
D) Defined for all values of x

Question 77

Given the graph of f, find any values of x at which f  is not defined.

A) x = 1, 3
B) x = 1, 2, 3
C) x = 2
D) Defined for all values of x

Question 78

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 79

The graph of a function is given. Choose the answer that represents the graph of its derivative.

Question 80

Find an equation of the tangent line at the indicated point on the graph of the function.