Suppose a differentiable function satisfies for every in the interval

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

Problem

Suppose a differentiable function

f

satisfies

f'(x)>0

for every

x

in the interval

(2,5)

. Which of the following statements about

f

(2,5)

is true? (a)

f

is concave up on

(2,5)

. (b)

f

is decreasing on

(2,5)

. (c)

f

is increasing on

(2,5)

. (d)

f

attains a relative maximum at every point of

(2,5)