# How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f(x) = x^2e^x - 3#?

##### 1 Answer

#### Explanation:

Given:

consider the derivative of the function:

Solve now the inequality:

As

and the critical points where

We can conclude that

graph{x^2e^x-3 [-10, 10, -5, 5]}