Calculus Examples

$f (x) = - x^{4} + x^{3} + 2 x^{2}$

Step 1

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

Increasing on: $(- \infty, \frac{3 - \sqrt{73}}{8}), (0, \frac{3 + \sqrt{73}}{8})$

Decreasing on: $(\frac{3 - \sqrt{73}}{8}, 0), (\frac{3 + \sqrt{73}}{8}, \infty)$

Step 2