# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #2x^3 + 3x^2 - 12x#?

##### 1 Answer

#### Explanation:

You determine intervals of increasing and decreasing and the relative maxima and minima by studying the first derivative of the function:

First, we wind the points where

The roots are:

Then we look at the sign of

So we can state that

graph{2x^3+3x^2-12x [-8, 8, -40, 40]}