# How do you find the critical points for #f(x) = (x^2-10x)^4# and the local max and min?

##### 1 Answer

three critical points:

Relative minimum at

Relative maximum at

#### Explanation:

First, we need to find

Using rules for taking derivative, we get following:

Critical points occur when the slope is zero meaning

So, three critical points would be

To find relative maximum and minimum, we can do a sign test.

For

For

For

For

At

At

At