Calculus Examples

$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$

Step 1

Combine $\frac{1}{2}$ and $x^{3}$ .

$y = \frac{x^{3}}{2} + x^{2} - 3 x + 1$

Step 2

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

Increasing on: $(- \infty, - \frac{2 + \sqrt{22}}{3}), (- \frac{2 - \sqrt{22}}{3}, \infty)$

Decreasing on: $(- \frac{2 + \sqrt{22}}{3}, - \frac{2 - \sqrt{22}}{3})$

Step 3