Calculus Examples

$f (x) = \frac{1}{25} x^{3} - \frac{1}{5} x^{2} - x + 5$

Step 1

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

Increasing on: $(- \infty, - \frac{5}{3}), (5, \infty)$

Decreasing on: $(- \frac{5}{3}, 5)$

Step 2