# What are the local extrema, if any, of #f (x) = x^3-12x+2 #?

##### 1 Answer

Nov 9, 2015

The function has 2 extrema:

#### Explanation:

We have a function:

To find extrema we calculate derivative

The first condition to find extreme points is that such points exist only where

Now we have to check if the derivative changes sign at the calcolated points:

graph{x^2-4 [-10, 10, -4.96, 13.06]}

From the graph we can see that

Final step is to calculate the values