Calculus Examples

$f (x) = \frac{1}{3} x^{3} - x$

Step 1

Graph the polynomial in order to determine the intervals over which it is increasing or decreasing.

Increasing on: $(- \infty, - 1), (1, \infty)$

Decreasing on: $(- 1, 1)$

Step 2

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$