Find Where Increasing/Decreasing f(x)=x square root of 25-x^2

$f (x) = x \sqrt{25 - x^{2}}$

Step 1

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

Increasing on: $(- \frac{5 \sqrt{2}}{2}, \frac{5 \sqrt{2}}{2})$

Decreasing on: $(- \infty, - 5), (- 5, - \frac{5 \sqrt{2}}{2}), (\frac{5 \sqrt{2}}{2}, 5), (5, \infty)$

Step 2