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Deck 3: Differentiation
Full screen (f)
Question
Question
Below is a graph of 
. Sketch a graph of 
. 
. Sketch a graph of . Question
The graph below gives distance in miles from a starting point as a function of time in hours for a car on a trip. Find the fastest speed (magnitude of velocity) during the trip. Describe how the speed during the first 2 hours compares to the speed during the last 2 hours. Describe what is happening between 2 and 3 hours. 
Question
Find the equation of the tangent line to 
at 
A)
B)
C)
D)
at A)
B)
C)
D)
Question
Estimate the slope of the tangent line to the curve at x = 2. 
A) 2
B) -2
C)
D)
A) 2
B) -2
C)
D)
Question
Compute the slope of the secant line between the points x = 2.9 and x = 3. Round your answer to the thousandths place. 
A) -0.981
B) 1.852
C) -4.372
D) -1.963
A) -0.981
B) 1.852
C) -4.372
D) -1.963
Question
Find an equation of the tangent line to y = f(x) at x = -3. 
A) y = -6x + 18
B) y = 22x - 45
C) y = 6x + 18
D) y = 22x + 45
A) y = -6x + 18
B) y = 22x - 45
C) y = 6x + 18
D) y = 22x + 45
Question
Compute the derivative function f '(x) of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Compute the derivative function f '(x) of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Compute the slopes of the secant lines between the point at x = 1 and points close to it (such as x = 0, x = 2, x = 0.9, x = 1.1) and use these results to estimate the slope of the tangent line at x = 1. Round to two decimal places. 
A) -1.30
B) -0.70
C) -0.20
D) 0.50
A) -1.30
B) -0.70
C) -0.20
D) 0.50
Question
Find the equation of the tangent line to 
at 
A)
B)
C)
D)
at A)
B)
C)
D)
Question
Question
Find an equation of the tangent line to y = f(x) at x = 4. 
A) y = 21x - 64
B) y = -96x - 251
C) y = 96x - 251
D) y = 96x + 251
A) y = 21x - 64
B) y = -96x - 251
C) y = 96x - 251
D) y = 96x + 251
Question
Estimate the slope of the tangent line to the curve at x = -2. 
A) -1
B) -2
C) 2
D) 0
A) -1
B) -2
C) 2
D) 0
Question
Use the position function 
meters to find the velocity at time 
seconds.
A)
m/sec
B)
m/sec
C)
m/sec
D)
m/sec
meters to find the velocity at time seconds.A)
m/secB)
m/secC)
m/secD)
m/sec Question
Find the equation of the tangent line to 
at 
A)
B)
C)
D)
at A)
B)
C)
D)
Question
Compute f '(2) for the function 
.
A) 58
B) 43
C) 38
D) -43
.A) 58
B) 43
C) 38
D) -43
Question
Compute f '(5) for the function 
. 
A)
B)
C)
D)
. A)
B)
C)
D)
Question
List the points A, B, C, D, and E in order of increasing slope of the tangent line. 
A) B, C, E, D, A
B) A, E, D, C, B
C) E, A, D, B, C
D) A, B, C, D, E
A) B, C, E, D, A
B) A, E, D, C, B
C) E, A, D, B, C
D) A, B, C, D, E
Question
Use the position function 
meters to find the velocity at time 
seconds.
A) 3.1 m/sec
B) -9.8 m/sec
C) -1.8 m/sec
D) -4.9 m/sec
meters to find the velocity at time seconds.A) 3.1 m/sec
B) -9.8 m/sec
C) -1.8 m/sec
D) -4.9 m/sec
Question
Using the position function 
, find the acceleration function.
A)
B)
C)
D)
, find the acceleration function.A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Differentiate the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Below is a graph of 
. Sketch a plausible graph of a continuous function 
. 
. Sketch a plausible graph of a continuous function . Question
Question
Find the second derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Give the units for the derivative function. 
represents the amount of a chemical present, in milligrams, at time t seconds.
A) seconds per milligram
B) seconds per milligram squared
C) milligrams per second
D) milligrams per second squared
represents the amount of a chemical present, in milligrams, at time t seconds.A) seconds per milligram
B) seconds per milligram squared
C) milligrams per second
D) milligrams per second squared
Question
Suppose a sprinter reaches the following distances in the given times. Estimate the velocity of the sprinter at the 6 second mark. Round to the nearest integer. t sec
5
5)5
6
6)5
7
ft
121)7
142)5
158)5
174)7
193)9
A) 32 ft/sec
B) 36 ft/sec
C) 26 ft/sec
D) 28 ft/sec
5
5)5
6
6)5
7
ft121)7
142)5
158)5
174)7
193)9
A) 32 ft/sec
B) 36 ft/sec
C) 26 ft/sec
D) 28 ft/sec
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Sketch the graph of a function with the following properties: 
and 
A)
B)
C)
D)
and A)
B)
C)
D)
Question
Find the third derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Differentiate the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Using the position function 
, find the velocity function.
A)
B)
C)
D)
, find the velocity function.A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Differentiate the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Below is a graph of 
. Sketch a plausible graph of a continuous function 
. 
. Sketch a plausible graph of a continuous function . Question
Compute the right-hand derivative 
and the left-hand derivative 
. 
A)
, 
B)
, 
C)
, 
D)
, 
and the left-hand derivative . A)
, B)
, C)
, D)
, Question
Below is a graph of 
. Sketch a graph of 
. 
. Sketch a graph of . Question
For 
find all real numbers a and b such that 
exists.
A)
b any real number
B)
C)
b any real number
D)
find all real numbers a and b such that exists.A)
b any real numberB)
C)
b any real numberD)
Question
Using the position function 
, find the velocity function.
A)
B)
C)
D)
, find the velocity function.A)
B)
C)
D)
Question
Determine the real value(s) of x for which the line tangent to 
is horizontal.
A) x = -2, x = 2
B) x = 0, x = -2, x = 2
C) x = 0
D) x = 0, x = 2
is horizontal.A) x = -2, x = 2
B) x = 0, x = -2, x = 2
C) x = 0
D) x = 0, x = 2
Question
Find a function with the given derivative. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the second-degree polynomial (of the form ax2 + bx + c) such that f(0) = 0, f '(0) = 5, and f ''(0) = 1.
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find an equation of the line tangent to 
at 
if 
, 
, 
, and 
.
A)
B)
C)
D)
at if , , , and .A)
B)
C)
D)
Question
Use the graph of 
below to sketch the graph of 
on the same axes. (Hint: sketch 
first.) 
A)
B)
C)
D)
below to sketch the graph of on the same axes. (Hint: sketch first.) A)
B)
C)
D)
Question
Find the derivative of the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
The height of an object at time t is given by 
. Determine the object's acceleration at t = 2.
A) 10
B) 4
C) 9
D) -4
. Determine the object's acceleration at t = 2.A) 10
B) 4
C) 9
D) -4
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Determine the real value(s) of x for which the line tangent to 
is horizontal.
A)
B)
C)
D) x = 0
is horizontal.A)
B)
C)
D) x = 0
Question
The height of an object at time t is given by 
. Determine the object's velocity at t = 4.
A) 130
B) -136
C) -130
D) -66
. Determine the object's velocity at t = 4.A) 130
B) -136
C) -130
D) -66
Question
Find the equation of the tangent line to the graph of y = f (x) at x = -2. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Let 
equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret 
. t
1995
2000
2005
2010
$1700
$2000
$2200
$2450
A)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year.
B)
; The average monthly salary is increasing by $2 per year in 2010.
C)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year.
D)
; The average monthly salary is increasing by $50 per year in 2010.
equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret . t1995
2000
2005
2010
$1700$2000
$2200
$2450
A)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year.B)
; The average monthly salary is increasing by $2 per year in 2010.C)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year.D)
; The average monthly salary is increasing by $50 per year in 2010. Question
Find an equation of the line tangent to 
at x = 3.
A)
B)
C)
D)
at x = 3.A)
B)
C)
D)
Question
Find an equation of the line tangent to 
at x = -6.
A)
B)
C)
D)
at x = -6.A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Using the position function 
, find the acceleration function.
A)
B)
C)
D)
, find the acceleration function.A)
B)
C)
D)
Question
Find a formula for the nth derivative 
of 
A)
B)
C)
D)
of A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Determine the value(s) of x, if there are any, for which the slope of the tangent line to 
does not exist.
A)
B)
C)
D) The slope exists for all values of x.
does not exist.A)
B)
C)
D) The slope exists for all values of x.
Question
Differentiate the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Question
Find a function 
such that 
A)
B)
C)
D)
such that A)
B)
C)
D)
Question
Find the second derivative of the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find an equation of the line tangent to 
at 
if 
, 
, 
, and 
.
A)
B)
C)
D)
at if , , , and .A)
B)
C)
D)
Question
Compute the derivative of 
at x = -8 where 
.
A)
B)
C)
D)
at x = -8 where .A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find the derivative of the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the derivative where f is an unspecified differentiable function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find an equation of the line tangent to 
at x = 2.
A) y = -2x + 3
B) y = -2x
C) y = 2x + 3
D) y = -2x + 5
at x = 2.A) y = -2x + 3
B) y = -2x
C) y = 2x + 3
D) y = -2x + 5
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Differentiate the function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find the derivative where f is an unspecified differentiable function. 
A)
B)
C)
D)
A)
B)
C)
D)
Question
Use the position function 
meters to find the velocity at t = 4 seconds.
A) 9 m/s
B)
m/s
C)
m/s
D)
m/s
meters to find the velocity at t = 4 seconds.A) 9 m/s
B)
m/sC)
m/sD)
m/s Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
Question
Find the derivative of 
.
A)
B)
C)
D)
.A)
B)
C)
D)
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Deck 3: Differentiation
1
Find the average velocity for an object between t = 2 sec and t = 2.1 sec if f(t) = -16t2 + 100t + 10 represents its position in feet.
A) 34.4 ft/s
B) 36 ft/s
C) 32.8 ft/s
D) 146 ft/s
A) 34.4 ft/s
B) 36 ft/s
C) 32.8 ft/s
D) 146 ft/s
34.4 ft/s
2
Below is a graph of . Sketch a graph of .
. Sketch a graph of . 
9+ 3
The graph below gives distance in miles from a starting point as a function of time in hours for a car on a trip. Find the fastest speed (magnitude of velocity) during the trip. Describe how the speed during the first 2 hours compares to the speed during the last 2 hours. Describe what is happening between 2 and 3 hours.
The fastest speed occurred during the last 2 hours of the trip when the car traveled at about 70 mph. The speed during the first 2 hours is 60 mph while the speed from 8 to 10 hours is about 70 mph. Between 2 and 3 hours the car was stopped.
4
Find the equation of the tangent line to at
A)
B)
C)
D)
at A)
B)
C)
D)
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5
Estimate the slope of the tangent line to the curve at x = 2.
A) 2
B) -2
C)
D)
A) 2
B) -2
C)
D)
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6
Compute the slope of the secant line between the points x = 2.9 and x = 3. Round your answer to the thousandths place.
A) -0.981
B) 1.852
C) -4.372
D) -1.963
A) -0.981
B) 1.852
C) -4.372
D) -1.963
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7
Find an equation of the tangent line to y = f(x) at x = -3.
A) y = -6x + 18
B) y = 22x - 45
C) y = 6x + 18
D) y = 22x + 45
A) y = -6x + 18
B) y = 22x - 45
C) y = 6x + 18
D) y = 22x + 45
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8
Compute the derivative function f '(x) of .
A)
B)
C)
D)
.A)
B)
C)
D)
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9
Compute the derivative function f '(x) of .
A)
B)
C)
D)
.A)
B)
C)
D)
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10
Compute the slopes of the secant lines between the point at x = 1 and points close to it (such as x = 0, x = 2, x = 0.9, x = 1.1) and use these results to estimate the slope of the tangent line at x = 1. Round to two decimal places.
A) -1.30
B) -0.70
C) -0.20
D) 0.50
A) -1.30
B) -0.70
C) -0.20
D) 0.50
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11
Find the equation of the tangent line to at
A)
B)
C)
D)
at A)
B)
C)
D)
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12
Find the average velocity for an object between t = -1 sec and t = -0.9 sec if f(t) = 5sin(t) + 5 represents its position in feet. (Round to the nearest thousandth.)
A) 2.702
B) 3.108
C) 2.907
D) -2.907
A) 2.702
B) 3.108
C) 2.907
D) -2.907
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13
Find an equation of the tangent line to y = f(x) at x = 4.
A) y = 21x - 64
B) y = -96x - 251
C) y = 96x - 251
D) y = 96x + 251
A) y = 21x - 64
B) y = -96x - 251
C) y = 96x - 251
D) y = 96x + 251
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14
Estimate the slope of the tangent line to the curve at x = -2.
A) -1
B) -2
C) 2
D) 0
A) -1
B) -2
C) 2
D) 0
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15
Use the position function meters to find the velocity at time seconds.
A) m/sec
B) m/sec
C) m/sec
D) m/sec
meters to find the velocity at time seconds.A)
m/secB)
m/secC)
m/secD)
m/sec Unlock Deck
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16
Find the equation of the tangent line to at
A)
B)
C)
D)
at A)
B)
C)
D)
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17
Compute f '(2) for the function .
A) 58
B) 43
C) 38
D) -43
.A) 58
B) 43
C) 38
D) -43
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18
Compute f '(5) for the function .
A)
B)
C)
D)
. A)
B)
C)
D)
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19
List the points A, B, C, D, and E in order of increasing slope of the tangent line.
A) B, C, E, D, A
B) A, E, D, C, B
C) E, A, D, B, C
D) A, B, C, D, E
A) B, C, E, D, A
B) A, E, D, C, B
C) E, A, D, B, C
D) A, B, C, D, E
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20
Use the position function meters to find the velocity at time seconds.
A) 3.1 m/sec
B) -9.8 m/sec
C) -1.8 m/sec
D) -4.9 m/sec
meters to find the velocity at time seconds.A) 3.1 m/sec
B) -9.8 m/sec
C) -1.8 m/sec
D) -4.9 m/sec
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21
Using the position function , find the acceleration function.
A)
B)
C)
D)
, find the acceleration function.A)
B)
C)
D)
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22
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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23
Differentiate the function.
A)
B)
C)
D)
A)
B)
C)
D)
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24
Below is a graph of . Sketch a plausible graph of a continuous function .
. Sketch a plausible graph of a continuous function . Unlock Deck
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25
Find the derivative of f(x) = -5x2 + 2x - 5.
A) -5x + 2
B) -10x2 - 5
C) -10x + 2
D) 10x - 2
A) -5x + 2
B) -10x2 - 5
C) -10x + 2
D) 10x - 2
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26
Find the second derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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27
Give the units for the derivative function. represents the amount of a chemical present, in milligrams, at time t seconds.
A) seconds per milligram
B) seconds per milligram squared
C) milligrams per second
D) milligrams per second squared
represents the amount of a chemical present, in milligrams, at time t seconds.A) seconds per milligram
B) seconds per milligram squared
C) milligrams per second
D) milligrams per second squared
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28
Suppose a sprinter reaches the following distances in the given times. Estimate the velocity of the sprinter at the 6 second mark. Round to the nearest integer. t sec
5
5)5
6
6)5
7 ft
121)7
142)5
158)5
174)7
193)9
A) 32 ft/sec
B) 36 ft/sec
C) 26 ft/sec
D) 28 ft/sec
5
5)5
6
6)5
7
ft121)7
142)5
158)5
174)7
193)9
A) 32 ft/sec
B) 36 ft/sec
C) 26 ft/sec
D) 28 ft/sec
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29
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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30
Sketch the graph of a function with the following properties: and
A)
B)
C)
D)
and A)
B)
C)
D)
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31
Find the third derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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32
Differentiate the function.
A)
B)
C)
D)
A)
B)
C)
D)
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33
Using the position function , find the velocity function.
A)
B)
C)
D)
, find the velocity function.A)
B)
C)
D)
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34
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
35
Differentiate the function.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
36
Below is a graph of . Sketch a plausible graph of a continuous function .
. Sketch a plausible graph of a continuous function . Unlock Deck
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37
Compute the right-hand derivative and the left-hand derivative .
A) ,
B) ,
C) ,
D) ,
and the left-hand derivative . A)
, B)
, C)
, D)
, Unlock Deck
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38
Below is a graph of . Sketch a graph of .
. Sketch a graph of . Unlock Deck
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39
For find all real numbers a and b such that exists.
A) b any real number
B)
C) b any real number
D)
find all real numbers a and b such that exists.A)
b any real numberB)
C)
b any real numberD)
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k this deck
40
Using the position function , find the velocity function.
A)
B)
C)
D)
, find the velocity function.A)
B)
C)
D)
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k this deck
41
Determine the real value(s) of x for which the line tangent to is horizontal.
A) x = -2, x = 2
B) x = 0, x = -2, x = 2
C) x = 0
D) x = 0, x = 2
is horizontal.A) x = -2, x = 2
B) x = 0, x = -2, x = 2
C) x = 0
D) x = 0, x = 2
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42
Find a function with the given derivative.
A)
B)
C)
D)
A)
B)
C)
D)
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43
Find the second-degree polynomial (of the form ax2 + bx + c) such that f(0) = 0, f '(0) = 5, and f ''(0) = 1.
A)
B)
C)
D)
A)
B)
C)
D)
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k this deck
44
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
45
Find an equation of the line tangent to at if , , , and .
A)
B)
C)
D)
at if , , , and .A)
B)
C)
D)
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k this deck
46
Use the graph of below to sketch the graph of on the same axes. (Hint: sketch first.)
A)
B)
C)
D)
below to sketch the graph of on the same axes. (Hint: sketch first.) A)
B)
C)
D)
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k this deck
47
Find the derivative of the function.
A)
B)
C)
D)
A)
B)
C)
D)
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Unlock Deck
k this deck
48
The height of an object at time t is given by . Determine the object's acceleration at t = 2.
A) 10
B) 4
C) 9
D) -4
. Determine the object's acceleration at t = 2.A) 10
B) 4
C) 9
D) -4
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k this deck
49
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
50
Determine the real value(s) of x for which the line tangent to is horizontal.
A)
B)
C)
D) x = 0
is horizontal.A)
B)
C)
D) x = 0
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k this deck
51
The height of an object at time t is given by . Determine the object's velocity at t = 4.
A) 130
B) -136
C) -130
D) -66
. Determine the object's velocity at t = 4.A) 130
B) -136
C) -130
D) -66
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k this deck
52
Find the equation of the tangent line to the graph of y = f (x) at x = -2.
A)
B)
C)
D)
A)
B)
C)
D)
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k this deck
53
Let equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret . t
1995
2000
2005
2010 $1700
$2000
$2200
$2450
A) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year.
B) ; The average monthly salary is increasing by $2 per year in 2010.
C) ; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year.
D) ; The average monthly salary is increasing by $50 per year in 2010.
equal the average monthly salary of families in a certain city in year t. Several values are given in the table below. Estimate and interpret . t1995
2000
2005
2010
$1700$2000
$2200
$2450
A)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $2 per year.B)
; The average monthly salary is increasing by $2 per year in 2010.C)
; The rate at which the average monthly salary is increasing each year in 2010 is increasing by $50 per year.D)
; The average monthly salary is increasing by $50 per year in 2010. Unlock Deck
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k this deck
54
Find an equation of the line tangent to at x = 3.
A)
B)
C)
D)
at x = 3.A)
B)
C)
D)
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k this deck
55
Find an equation of the line tangent to at x = -6.
A)
B)
C)
D)
at x = -6.A)
B)
C)
D)
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k this deck
56
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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Unlock Deck
k this deck
57
Using the position function , find the acceleration function.
A)
B)
C)
D)
, find the acceleration function.A)
B)
C)
D)
Unlock Deck
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k this deck
58
Find a formula for the nth derivative of
A)
B)
C)
D)
of A)
B)
C)
D)
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k this deck
59
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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Unlock Deck
k this deck
60
Determine the value(s) of x, if there are any, for which the slope of the tangent line to does not exist.
A)
B)
C)
D) The slope exists for all values of x.
does not exist.A)
B)
C)
D) The slope exists for all values of x.
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k this deck
61
Differentiate the function.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
Unlock for access to all 116 flashcards in this deck.
Unlock Deck
k this deck
62
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
63
A small company sold 1000 widgets this year at a price of $10 each. If the price increases at rate of $1.25 per year and the quantity sold increases at a rate of 250 widgets per year, at what rate will revenue increase?
A) $312.5/year
B) $3750/year
C) $1250/year
D) $4062.5/year
A) $312.5/year
B) $3750/year
C) $1250/year
D) $4062.5/year
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64
Find a function such that
A)
B)
C)
D)
such that A)
B)
C)
D)
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k this deck
65
Find the second derivative of the function.
A)
B)
C)
D)
A)
B)
C)
D)
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66
Find an equation of the line tangent to at if , , , and .
A)
B)
C)
D)
at if , , , and .A)
B)
C)
D)
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k this deck
67
Compute the derivative of at x = -8 where .
A)
B)
C)
D)
at x = -8 where .A)
B)
C)
D)
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k this deck
68
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
69
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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Unlock Deck
k this deck
70
Find the derivative of the function.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
71
Find the derivative where f is an unspecified differentiable function.
A)
B)
C)
D)
A)
B)
C)
D)
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k this deck
72
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
73
Find an equation of the line tangent to at x = 2.
A) y = -2x + 3
B) y = -2x
C) y = 2x + 3
D) y = -2x + 5
at x = 2.A) y = -2x + 3
B) y = -2x
C) y = 2x + 3
D) y = -2x + 5
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74
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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Unlock Deck
k this deck
75
Differentiate the function.
A)
B)
C)
D)
A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
76
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
Unlock Deck
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Unlock Deck
k this deck
77
Find the derivative where f is an unspecified differentiable function.
A)
B)
C)
D)
A)
B)
C)
D)
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k this deck
78
Use the position function meters to find the velocity at t = 4 seconds.
A) 9 m/s
B) m/s
C) m/s
D) m/s
meters to find the velocity at t = 4 seconds.A) 9 m/s
B)
m/sC)
m/sD)
m/s Unlock Deck
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79
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
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k this deck
80
Find the derivative of .
A)
B)
C)
D)
.A)
B)
C)
D)
Unlock Deck
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k this deck
Unlock Deck
Unlock for access to all 116 flashcards in this deck.
