The derivative of a function is given by

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

The derivative of a function ff is given by f′(x)=(x−4)(x+1)2(x−2)f'(x)=(x-4)(x+1)^{2}(x-2). Which of the following lists all xx-values at which ff has a local maximum? (a) x=4x=4 only (b) x=2x=2 only (c) x=−1x=-1 only (d) x=2 and x=4x=2 \text{ and } x=4

Related theory

Browse the problem library