Calculus Examples

$f (x) = - x^{4} - 9 x^{3} - 24 x^{2} - 16 x$

Step 1

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

Increasing on: $(- \infty, - 4), (- \frac{11 + \sqrt{57}}{8}, - \frac{11 - \sqrt{57}}{8})$

Decreasing on: $(- 4, - \frac{11 + \sqrt{57}}{8}), (- \frac{11 - \sqrt{57}}{8}, \infty)$

Step 2