For the function :

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

For the function

f(x)=x^{4}-4x^{3}

: (a) Find all stationary points. (b) Using the sign of

f'(x)

on the intervals determined in part (a), state whether the stationary point at

x=0

is a local maximum, a local minimum, or neither.