Calculus AB - Graph Functions and Their First and Second Derivatives

1

The derivative of a function crosses the x-axis going from negative to positive at . The derivative crosses the x-axis once more at going from positive to negative. Which of the following is true about these critical points.

2

The derivative of a function crosses the x-axis going from negative to positive at . The derivative crosses the x-axis once more at going from positive to negative. Which of the following is true about these critical points.

3

The following is the graph of the derivative of :

From the graph of the derivative, which of the following is correct?

4

The following is the graph of the derivative of :

From the graph of the derivative, which of the following is correct?

5

Which of the following is the correct graph of the derivative of ?

6

Which of the following is the correct graph of the derivative of ?

7

Identify the local maximums and minimums in the following plot

8

Identify the local maximums and minimums in the following plot

9

Suppose the derivative of function crosses the x-axis at going from positive to negative, and again at going from negative to positive. Which of the following could be the graph of ?

10

Suppose the derivative of function crosses the x-axis at going from positive to negative, and again at going from negative to positive. Which of the following could be the graph of ?

Graph Functions and Their First and Second Derivatives

Practice Questions