Analysis of curves, including the notions of monotonicity and concavity

Practice Questions

AP Calculus AB › Analysis of curves, including the notions of monotonicity and concavity

Questions

6

1

Find the intervals on which is increasing.

2

Find the coordinates of all local extrema for , and specify whether each is a local maximum or local minimum.

3

Find the intervals of concavity for the function

4

A function, , is concave up on the intervals and with and .

Which of the following must be true?

5

Consider the function:

$f(x) = \frac{x^{3}}{3} - 2x^{2} + 3x -7$

On what intervals is increasing? Consider all real numbers.

6

At the point where , is $4x^2+\frac{2}{3}x$ increasing or decreasing, and is it concave up or down?

Return to subject