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Deck 2: Differentiation
Full screen (f)
Question
Use the alternative form of the derivative to find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the following function using the limiting process. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Describe the x-values at which the graph of the function 
given below is differentiable. 
A)
differentiable at 
B)
is differentiable everywhere except at 
C)
is differentiable everywhere except at 
D)
is differentiable on the interval 
E)
is differentiable on the interval 
given below is differentiable. A)
differentiable at B)
is differentiable everywhere except at C)
is differentiable everywhere except at D)
is differentiable on the interval E)
is differentiable on the interval Question
Find an equation of the line that is tangent to the graph of 
and parallel to the given line. 
A)
B)
C)
D)
E)
and parallel to the given line. A)
B)
C)
D)
E)
Question
Find an equation of the line that is tangent to the graph of the function 
and parallel to the line 
A)
B)
C)
D)
E)
and parallel to the line A)
B)
C)
D)
E)
Question
Find the derivative of the function 
by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
Question
Find an equation of the line that is tangent to the graph of the function 
and parallel to the line 
A)
B)
C)
D)
E)
and parallel to the line A)
B)
C)
D)
E)
Question
Find an equation of the tangent line to the graph of the function 
at the point 
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
Question
Find the derivative of the function 
using the limiting process.
A)
B)
C)
D)
E)
using the limiting process.A)
B)
C)
D)
E)
Question
Find the derivative of the following function using the limiting process. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope 
of the line tangent to the graph of the function 
point 
A)
B)
C)
D)
E)
of the line tangent to the graph of the function point A)
B)
C)
D)
E)
Question
Find an equation of the tangent line to the graph of the function 
at the point 
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
Question
The graph of the function 
is given below.Select the graph of 
A)
B)
C)
D)
E)
is given below.Select the graph of A)
B)
C)
D)
E)
Question
Find the derivative of the following function using the limiting process. 
A)-4
B)
C)
D)
E)
A)-4
B)
C)
D)
E)
Question
Identify the graph which has the following characteristics. 
A)Graph 2
B)Graph 3
C)Graph 1
D)Graph 4
E)none of the above
A)Graph 2
B)Graph 3
C)Graph 1
D)Graph 4
E)none of the above
Question
Find the derivative of the following function 
using the limiting process.
A)
B)
C)
D)
E)
using the limiting process.A)
B)
C)
D)
E)
Question
Find the slope 
of the line tangent to the graph of the function 
at the point 
A)
B)
C)
D)
E)
of the line tangent to the graph of the function at the point A)
B)
C)
D)
E)
Question
Use the alternative form of the derivative to find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function 
by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
Question
Find the derivative of the function 
by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
Question
Find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope of the graph of the function at the given value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope of the graph of the function at the given value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine all values of 
(if any), at which the graph of the function has a horizontal tangent. 
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Question
Find the slope of the graph of the function at the given value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope of the graph of the function at the given value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the rules of differentiation to find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the rules of differentiation to find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope of the graph of the function at the given value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the slope of the graph of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the derivative of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Determine all values of 
(if any), at which the graph of the function has a horizontal tangent. 
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Question
Find the slope of the graph of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Suppose the position function for a free-falling object on a certain planet is given by 
A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.
A)
B)
C)
D)
E)
A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.A)
B)
C)
D)
E)
Question
Determine all values of 
(if any), at which the graph of the function has a horizontal tangent. 
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Question
A projectile is shot upwards from the surface of the earth with an initial velocity of 108 meters per second.The position function is 
What is its velocity after 7 seconds?
A)The velocity after 7 seconds is 181.7 meters per second.
B)The velocity after 7 seconds is -142.3 meters per second.
C)The velocity after 7 seconds is 39.4 meters per second.
D)The velocity after 7 seconds is 73.7 meters per second.
E)The velocity after 7 seconds is -176.6 meters per second.
What is its velocity after 7 seconds?A)The velocity after 7 seconds is 181.7 meters per second.
B)The velocity after 7 seconds is -142.3 meters per second.
C)The velocity after 7 seconds is 39.4 meters per second.
D)The velocity after 7 seconds is 73.7 meters per second.
E)The velocity after 7 seconds is -176.6 meters per second.
Question
Suppose the position function for a free-falling object on a certain planet is given by 
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.
A)2.849 sec
B)10.273 sec
C)10.693 sec
D)3.087 sec
E)10.091 sec
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.A)2.849 sec
B)10.273 sec
C)10.693 sec
D)3.087 sec
E)10.091 sec
Question
The volume of a cube with sides of length s is given by 
.Find the rate of change of volume with respect to 
centimeters.
A)648
B)216
C)36
D)108
E)72
.Find the rate of change of volume with respect to centimeters.A)648
B)216
C)36
D)108
E)72
Question
Suppose the position function for a free-falling object on a certain planet is given by 
A silver coin is dropped from the top of a building that is 1370 feet tall.Find velocity of the coin at impact.Round your answer to the three decimal places.
A)-286.705 ft/sec
B)-138.492 ft/sec
C)-111.041 ft/sec
D)-276.984 ft/sec
E)-261.984 ft/sec
A silver coin is dropped from the top of a building that is 1370 feet tall.Find velocity of the coin at impact.Round your answer to the three decimal places.A)-286.705 ft/sec
B)-138.492 ft/sec
C)-111.041 ft/sec
D)-276.984 ft/sec
E)-261.984 ft/sec
Question
A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.The position function is 
What is the velocity of
The ball after 4 seconds?
A)The velocity after 4 seconds is -76 ft per second.
B)The velocity after 4 seconds is -116 ft per second.
C)The velocity after 4 seconds is -140 ft per second.
D)The velocity after 4 seconds is -52 ft per second.
E)The velocity after 4 seconds is -280 ft per second.
What is the velocity ofThe ball after 4 seconds?
A)The velocity after 4 seconds is -76 ft per second.
B)The velocity after 4 seconds is -116 ft per second.
C)The velocity after 4 seconds is -140 ft per second.
D)The velocity after 4 seconds is -52 ft per second.
E)The velocity after 4 seconds is -280 ft per second.
Question
Suppose the position function for a free-falling object on a certain planet is given by 
A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval 
A)-113 ft/sec
B)80 ft/sec
C)112 ft/sec
D)-112 ft/sec
E)-80 ft/sec
A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval A)-113 ft/sec
B)80 ft/sec
C)112 ft/sec
D)-112 ft/sec
E)-80 ft/sec
Question
Suppose the position function for a free-falling object on a certain planet is given by 
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when 
A)-96 ft/sec
B)-32 ft/sec
C)-20 ft/sec
D)-144 ft/sec
E)-48 ft/sec
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when A)-96 ft/sec
B)-32 ft/sec
C)-20 ft/sec
D)-144 ft/sec
E)-48 ft/sec
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Full screen (f)
Deck 2: Differentiation
1
Use the alternative form of the derivative to find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Find the derivative of the following function using the limiting process.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Describe the x-values at which the graph of the function given below is differentiable.
A) differentiable at
B) is differentiable everywhere except at
C) is differentiable everywhere except at
D) is differentiable on the interval
E) is differentiable on the interval
given below is differentiable. A)
differentiable at B)
is differentiable everywhere except at C)
is differentiable everywhere except at D)
is differentiable on the interval E)
is differentiable on the interval is differentiable everywhere except at 4
Find an equation of the line that is tangent to the graph of and parallel to the given line.
A)
B)
C)
D)
E)
and parallel to the given line. A)
B)
C)
D)
E)
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5
Find an equation of the line that is tangent to the graph of the function and parallel to the line
A)
B)
C)
D)
E)
and parallel to the line A)
B)
C)
D)
E)
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6
Find the derivative of the function by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
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7
Find an equation of the line that is tangent to the graph of the function and parallel to the line
A)
B)
C)
D)
E)
and parallel to the line A)
B)
C)
D)
E)
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Unlock Deck
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8
Find an equation of the tangent line to the graph of the function at the point
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
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9
Find the derivative of the function using the limiting process.
A)
B)
C)
D)
E)
using the limiting process.A)
B)
C)
D)
E)
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10
Find the derivative of the following function using the limiting process.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Find the slope of the line tangent to the graph of the function point
A)
B)
C)
D)
E)
of the line tangent to the graph of the function point A)
B)
C)
D)
E)
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12
Find an equation of the tangent line to the graph of the function at the point
A)
B)
C)
D)
E)
at the point A)
B)
C)
D)
E)
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13
The graph of the function is given below.Select the graph of
A)
B)
C)
D)
E)
is given below.Select the graph of A)
B)
C)
D)
E)
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14
Find the derivative of the following function using the limiting process.
A)-4
B)
C)
D)
E)
A)-4
B)
C)
D)
E)
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15
Identify the graph which has the following characteristics.
A)Graph 2
B)Graph 3
C)Graph 1
D)Graph 4
E)none of the above
A)Graph 2
B)Graph 3
C)Graph 1
D)Graph 4
E)none of the above
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16
Find the derivative of the following function using the limiting process.
A)
B)
C)
D)
E)
using the limiting process.A)
B)
C)
D)
E)
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17
Find the slope of the line tangent to the graph of the function at the point
A)
B)
C)
D)
E)
of the line tangent to the graph of the function at the point A)
B)
C)
D)
E)
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18
Use the alternative form of the derivative to find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Find the derivative of the function by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
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20
Find the derivative of the function by the limit process.
A)
B)
C)
D)
E)
by the limit process.A)
B)
C)
D)
E)
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21
Find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Find the slope of the graph of the function at the given value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Find the slope of the graph of the function at the given value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
Find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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25
Determine all values of (if any), at which the graph of the function has a horizontal tangent.
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
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26
Find the slope of the graph of the function at the given value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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27
Find the slope of the graph of the function at the given value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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28
Use the rules of differentiation to find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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29
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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31
Use the rules of differentiation to find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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32
Find the slope of the graph of the function at the given value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
Find the derivative of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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35
Find the slope of the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 47 flashcards in this deck.
Unlock Deck
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36
Find the derivative of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
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37
Determine all values of (if any), at which the graph of the function has a horizontal tangent.
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
Unlock Deck
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38
Find the slope of the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
Unlock Deck
k this deck
39
Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.
A)
B)
C)
D)
E)
A silver coin is dropped from the top of a building that is 1370 feet tall. Determine the velocity function for the coin.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
Unlock Deck
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40
Determine all values of (if any), at which the graph of the function has a horizontal tangent.
A)
B)
C)
D)
E)The graph has no horizontal tangents.
(if any), at which the graph of the function has a horizontal tangent. A)
B)
C)
D)
E)The graph has no horizontal tangents.
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
Unlock Deck
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41
A projectile is shot upwards from the surface of the earth with an initial velocity of 108 meters per second.The position function is What is its velocity after 7 seconds?
A)The velocity after 7 seconds is 181.7 meters per second.
B)The velocity after 7 seconds is -142.3 meters per second.
C)The velocity after 7 seconds is 39.4 meters per second.
D)The velocity after 7 seconds is 73.7 meters per second.
E)The velocity after 7 seconds is -176.6 meters per second.
What is its velocity after 7 seconds?A)The velocity after 7 seconds is 181.7 meters per second.
B)The velocity after 7 seconds is -142.3 meters per second.
C)The velocity after 7 seconds is 39.4 meters per second.
D)The velocity after 7 seconds is 73.7 meters per second.
E)The velocity after 7 seconds is -176.6 meters per second.
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42
Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.
A)2.849 sec
B)10.273 sec
C)10.693 sec
D)3.087 sec
E)10.091 sec
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the time required for the coin to reach ground level.Round your answer to the three decimal places.A)2.849 sec
B)10.273 sec
C)10.693 sec
D)3.087 sec
E)10.091 sec
Unlock Deck
Unlock for access to all 47 flashcards in this deck.
Unlock Deck
k this deck
43
The volume of a cube with sides of length s is given by .Find the rate of change of volume with respect to centimeters.
A)648
B)216
C)36
D)108
E)72
.Find the rate of change of volume with respect to centimeters.A)648
B)216
C)36
D)108
E)72
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44
Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1370 feet tall.Find velocity of the coin at impact.Round your answer to the three decimal places.
A)-286.705 ft/sec
B)-138.492 ft/sec
C)-111.041 ft/sec
D)-276.984 ft/sec
E)-261.984 ft/sec
A silver coin is dropped from the top of a building that is 1370 feet tall.Find velocity of the coin at impact.Round your answer to the three decimal places.A)-286.705 ft/sec
B)-138.492 ft/sec
C)-111.041 ft/sec
D)-276.984 ft/sec
E)-261.984 ft/sec
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45
A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft per second.The position function is What is the velocity of
The ball after 4 seconds?
A)The velocity after 4 seconds is -76 ft per second.
B)The velocity after 4 seconds is -116 ft per second.
C)The velocity after 4 seconds is -140 ft per second.
D)The velocity after 4 seconds is -52 ft per second.
E)The velocity after 4 seconds is -280 ft per second.
What is the velocity ofThe ball after 4 seconds?
A)The velocity after 4 seconds is -76 ft per second.
B)The velocity after 4 seconds is -116 ft per second.
C)The velocity after 4 seconds is -140 ft per second.
D)The velocity after 4 seconds is -52 ft per second.
E)The velocity after 4 seconds is -280 ft per second.
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46
Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval
A)-113 ft/sec
B)80 ft/sec
C)112 ft/sec
D)-112 ft/sec
E)-80 ft/sec
A silver coin is dropped from the top of a building that is 1372 feet tall. Determine the average velocity of the coin over the time interval A)-113 ft/sec
B)80 ft/sec
C)112 ft/sec
D)-112 ft/sec
E)-80 ft/sec
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47
Suppose the position function for a free-falling object on a certain planet is given by A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when
A)-96 ft/sec
B)-32 ft/sec
C)-20 ft/sec
D)-144 ft/sec
E)-48 ft/sec
A silver coin is dropped from the top of a building that is 1372 feet tall.Find the instantaneous velocity of the coin when A)-96 ft/sec
B)-32 ft/sec
C)-20 ft/sec
D)-144 ft/sec
E)-48 ft/sec
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