Question

How do you find the stationary points of a curve?

Answer 1

A stationary (critical) point `x=c` of a curve `y=f(x)` is a point in the domain of `f` such that either `f'(c)=0` or `f'(c)` is undefined. So, find f'(x) and look for the x-values that make `f'` zero or undefined while `f` is still defined there.