# What are the critical values, if any, of #f(x) = x^3 + x^2 - x #?

##### 1 Answer

Mar 3, 2018

#### Answer:

Critical points:

#### Explanation:

We are given:

We compute the derivative:

We set the derivative to zero to find critical points:

This cannot be factored and solved. We need to use the quadratic equation:

where

This gives:

Substituting these values into

Hence the critical points are: