Science:Math Exam Resources/Courses/MATH110/April 2017/Question 06 (a)/Hint 1

A critical point of f is a point where either $f'(x)=0$ or where $f(x)$ exists but $f'(x)$ does not exist.

Local maxima or minima of f must occur at critical points of f.

Try using the first or second derivative test to classify the critical points of f.