Question

$$\frac{dy}{dx}=(3-x^{2})(x^{2}-x+1)$$

Solve for x

$x=\sqrt{3}\approx 1.732050808$
$x=-\sqrt{3}\approx -1.732050808$

Solve for y

$y\in \mathrm{R}$
$|x|=\sqrt{3}$