# What are the critical points for #f(x) = (x^2-10x)^4#?

##### 1 Answer

For critical numbers for

For

This derivative always exists, so we only need the zeros.

Solve:

The zeros of

All three are in the domain of

**Alternative Terminology**

I am used to calling these points on the line, "critical points". Alternative terminology may say that critical points, are points in the plane. In this terminology, we need to find the