# How do you find the exact relative maximum and minimum of the polynomial function of #y=x^3#?

##### 1 Answer

Sep 27, 2016

#### Explanation:

So. y is neither a maximum nor a minimum at x = 0.

Note that y'' = 6x > 0 for x > 0 and < 0 for x < 0.

Origin is a point of inflexion wherein y'changes sign and the tangent

y = 0 crosses the curve..

Also,