On the interval

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

Problem

On the interval

0 \le x \le 7

, a differentiable function

h

satisfies the following about its derivative: •

h'(x) > 0

for

0 < x < 2

and

5 < x < 7

•

h'(x) = 0

x = 2

and

x = 5

•

h'(x) < 0

for

2 < x < 5

Determine the

x

-coordinate(s) at which

h

attains a local maximum on

(0,7)