A differentiable function has derivative satisfying for

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

Problem

A differentiable function

w

has derivative satisfying

w'(x)>0

for

x<1

w'(1)

is undefined, and

w'(x)<0

for

x>1

. Classify the critical point of

w

x=1

(relative maximum, relative minimum, or neither).