POWERPOINT JEOPARDY

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Derivatives
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Basic Derivatives More Derivatives Word Problems Chain Rule Implicit Related Rates
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20 20 20 20 20
30 30 30 30 30
40 40 40 40 40
50 50 50 50 50
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Question 1 - 10
Find the derivative of the given function using
the limit definition.
4
Answer 1 10
5
Question 1 - 20
Find the derivative of the given function using
the limit definition.
6
Answer 1 20
7
Question 1 - 30
Find the derivative of the given function using
the power rule.
8
Answer 1 30
9
Question 1 - 40
Find the derivative of the given function using
the power rule.
10
Answer 1 40
11
Question 1 - 50
Find the equation of the tangent line at the
point (1, 8) on the given function.
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Answer 1 50
13
Question 2 - 10
Find the derivative of the given function using
the product rule.
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Answer 2 10
15
Question 2 - 20
Find the derivative of the given function using
the product rule.
16
Answer 2 20
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Question 2 - 30
Find the derivative of the given function using
the quotient rule.
18
Answer 2 30
19
Question 2 - 40
Find the fourth derivative of the given function.
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Answer 2 40
21
Question 2 - 50
Find the average rate of change of y with respect
to x over 3, 5
Find the instantaneous rate of change of y with
respect to x when x -4.
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Answer 2 50
Average Rate of Change over 3, 5
8 Instantaneous Rate of Change when x -4 -8
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Question 3 - 10
An astronaut standing on the moon throws a rock
into the air. The height of the rock is given by
the equation below, where s is measured in feet
and t is measured in seconds.
Write the velocity and acceleration functions.
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Answer 3 10
25
Question 3 - 20
An astronaut standing on the moon throws a rock
into the air. The height of the rock is given by
the equation below, where s is measured in feet
and t is measured in seconds.
Find how long it takes for the rock to reach its
highest point. (Hint Velocity is zero)
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Answer 3 20
5 seconds
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Question 3 - 30
A rock is dropped from a height of 576 feet and
falls towards Earth. Write the position function
and identify approximately how long it takes for
it to reach the ground.
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Answer 3 30
6 seconds
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Question 3 - 40
A rock is dropped from a height of 576 feet and
falls towards Earth. What is the average
velocity of the rock during the time it is
falling?
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Answer 3 40
-96 feet/second
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Question 3 - 50
A rock is dropped from a height of 576 feet and
falls towards Earth. What is the instantaneous
velocity of the rock when it hits the ground?
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Answer 3 50
-192 feet/second
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Question 4 - 10
Find the derivative of the given function using
the chain rule.
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Answer 4 10
35
Question 4 - 20
Find the derivative of the given function using
the chain rule.
36
Answer 4 20
37
Question 4 - 30
Find the derivative of the given function using
the chain rule.
38
Answer 4 30
39
Question 4 - 40
Find the derivative implicitly.
40
Answer 4 40
41
Question 4 - 50
Find the derivative implicitly. Then determine
the slope of the tangent at the indicated point.
42
Answer 4 50
43
Question 5 - 10
Find the derivative implicitly. Then determine
the slope of the tangent at the indicated point.
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Answer 5 10
45
Question 5 - 20
Use the following equation and information to
answer the question.
46
Answer 5 20
47
Question 5 - 30
A spherical balloon is inflated so that its
volume is increasing at a rate of 3 ft3/min. How
fast is the radius of the balloon increasing when
the radius is 1 foot?
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Answer 5 30
49
Question 5 - 40
A fire has started in a dry, open field and
spreads in the form of a circle. The radius of
the circle increases at a rate of 6 ft/min. Find
the rate at which the fire area is increasing
when the radius is 150 feet.
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Answer 5 40
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Question 5 - 50
As sand leaks out of a hole in a container, it
forms a conical pile whose altitude is always the
same as the radius. If the height of the pile is
increasing at a rate of 6 in/min, find the rate
at which the sand is leaking out when the
altitude is 10 inches.
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Answer 5 50