Let be a differentiable function whose derivative is given by

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

Problem

Let

h

be a differentiable function whose derivative is given by

h'(x)=(x-1)^2(x+2)

. (a) State the interval(s) on which

h

is increasing and the interval(s) on which

h

is decreasing. (b) Identify the

x

-coordinate(s) of any relative extrema of

h

and specify whether each is a relative maximum or minimum.