Find Where Increasing/Decreasing y=(-1/4)(x^4)+3x^2

$y = (- \frac{1}{4}) (x^{4}) + 3 x^{2}$

Step 1

Multiply $- \frac{1}{4}$ by $x^{4}$ .

$y = - \frac{1}{4} x^{4} + 3 x^{2}$

Step 2

Multiply $- \frac{1}{4}$ by $x^{4}$ .

$y = - \frac{1}{4} x^{4} + 3 x^{2}$

Step 3

Combine $x^{4}$ and $\frac{1}{4}$ .

$y = - \frac{x^{4}}{4} + 3 x^{2}$

Step 4

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

Increasing on: $(- \infty, - \sqrt{6}), (0, \sqrt{6})$

Decreasing on: $(- \sqrt{6}, 0), (\sqrt{6}, \infty)$

Step 5