Question

Which points are critical points for a function \[f\]?

Options

• Points \[x\] where \[f'(x)=1\]

• Only points where \[f(x)=0\]

• Only endpoints \[a\] and \[b\]

• Points \[x\] where \[f'(x)=0\] or where \[f\] is not differentiable

Answer 1

A critical point occurs when \[f'(x)=0\] or \[f'(x)\] is undefined. The function can also be not differentiable at a critical point.