AP Calculus AB: Derivatives and Function Analysis

Question 1

Given the equation for f(x) below, find f'(4).

Accepted Answer

B

Question 2

When do the instantaneous and the average rate of change equal on the closed interval [0,2]?

Accepted Answer

B

Question 3

Choose the correct answer.

Accepted Answer

_

Question 4

Given the three graphs, which choice correctly orders the graphs of f(x), f '(x), and f ''(x)?

Accepted Answer

f '(x), f ''(x), f (x)

Question 5

For which values of x (if any) does f(x) = f ' (x)?

Accepted Answer

I and III

Question 6

Given the graph of f(x) below, which of these could be the graph of the derivative?

Accepted Answer

A

Question 7

When does the function f(x) below have a horizontal tangent?

Accepted Answer

I and III

Question 8

Given f(x) below, which must be true about the function at x = -1?

Accepted Answer

Decreasing and Concave Up

Question 9

Select the correct answer to the question below

Accepted Answer

C

Question 10

Order the following from least to greatest based on the graph of f(x) below.

Accepted Answer

f ' (0) < f ' (4) < f (4) < f (0)

Question 11

Given the velocity graph below, at which time is the particle slowing down and moving left?

Accepted Answer

D

Question 12

Find the equation for f ' (x) given f(x) below.

Accepted Answer

B

Question 13

Find the value of f ' (-1) given f(x) below.

Accepted Answer

14

Question 14

Given the graph of f '(x) below, how many relative maximums will there be on the graph of f(x)?

Accepted Answer

1

Question 15

What is the equation of the tangent line below?

Accepted Answer

y = 6(x+1) +2

Questions 15