Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the derivative of the function. 
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2.
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Find the derivative of the function. 
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3.
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Use the rules of differentiation to find the derivative of the function  .
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4.
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Find the derivative of the function  .
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5.
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Find the derivative of the function  .
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6.
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Use the rules of differentiation to find the derivative of the function  .
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7.
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Find the derivative of the function  .
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8.
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Find the slope of the graph of the function at the given value.  when 
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9.
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Find the slope of the graph of the function at the given value.  when 
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10.
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Find the slope of the graph of the function at the given value.  when 
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11.
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Find the slope of the graph of the function  at  .
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12.
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Find the slope of the graph of the function at the given value .  at 
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13.
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Find the slope of the graph of the function  at  .
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14.
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Find the slope of the graph of the function at the given value.
 at 
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15.
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Find the derivative of the function  .
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16.
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Find the derivative of the function  .
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17.
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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. |
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18.
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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. |
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19.
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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. |
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20.
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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.
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21.
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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 |
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22.
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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 |
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23.
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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 |
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24.
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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 |
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25.
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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. |
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26.
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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. |
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27.
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The volume of a cube with sides of length s is given by  .
Find the rate of change of volume with respect to  when 
centimeters. a. | 648 cm2 | b. | 216 cm2 | c. | 36
cm2 | d. | 108 cm2 | e. | 72
cm2 |
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