# What are the local extrema of #f(x)= x^3-x+3/x#?

##### 1 Answer

Dec 6, 2016

#### Explanation:

First find the critical points by equating the first derivative to zero:

As

so

Then we look at the sign of the second derivative:

so that:

graph{x^3-x+3/x [-20, 20, -10, 10]}