# How do you find the relative extrema for y=x^3?

Jan 25, 2016

Differentiate and check for points which the gradient is zero or undefined.

#### Explanation:

$\frac{\mathrm{dy}}{\mathrm{dx}} = 3 {x}^{2}$

$3 {x}^{2} = 0$

$x = 0$

However, the first derivative test shows that it is not an extremum, but rather an inflection point.