Let be differentiable on and suppose for while for

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

f

be differentiable on

(0,5)

and suppose

f'(x)>0

for

0<x<3

while

f'(x)<0

for

3<x<5

. Identify the sub-intervals of

(0,5)

on which

f

is increasing and those on which it is decreasing.