AP Calculus AB Unit 2 — Differentiation ‒ Definition and Basic Derivative Rules Practice Test
AP Calculus AB Unit 2 — Differentiation ‒ Definition and Basic Derivative Rules Practice Test
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Question 1 of 15
1. Question
Find if the function is given by .
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Question 2 of 15
2. Question
Find the derivative of the following function at the point x=3 . f ( x )=4 x^{3} + x+3
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Question 3 of 15
3. Question
If p(t) gives the position of an asteroid as a function of time, find the function which models the velocity of the asteroid as a function of time. p ( t )=− 365 sin ( t ) +12 t^{3} −3 t^{2} + 164
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Question 4 of 15
4. Question
The function f ( x ) is differentiable at the point ( a , f ( a ) ) List which of the following statements must be true about f ( x ) :
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Question 5 of 15
5. Question
Find the derivative of the function, y=x^{2} sin ( 3 x ) .
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Question 6 of 15
6. Question
What is the derivative of y=3 secθ , with respect to θ ?
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Question 7 of 15
7. Question
Which of the following is false given the following function? y=f ( x ) =tan x
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Question 8 of 15
8. Question
Let g ( x ) = x^{10} ,g'(1)
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Question 9 of 15
9. Question
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Question 10 of 15
10. Question
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Question 11 of 15
11. Question
Devin tried to find the derivative of Here is his work: −3 x − 11 using basic differentiation rules. At which step did Devin make a mistake, if at all?
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Question 12 of 15
12. Question
The following table lists the value of functions g and h , and of their derivatives, g ‘ and h ‘ , for x=2
Evaluate at .
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Question 13 of 15
13. Question
Let . Find .
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Question 14 of 15
14. Question
Which of the following is an equation of the line tangent to the graph of h ( x )=x^{ 4} −2 x^{2} +2 x at the point where x=1
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Question 15 of 15
15. Question
Let Find
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