Analytical Applications of Derivatives

Practice Questions

Calculus AB › Analytical Applications of Derivatives

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1

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

2

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

3

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

4

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

5

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

6

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

7

Let .

True or false: As a consequence of Rolle's Theorem, has a zero on the interval .

8

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.

9

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.

10

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.

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