A function is differentiable on

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

Problem

A function

f

is differentiable on

[a,b]

. Explain briefly why a point

c

inside

(a,b)

where

f'(x)>0

for values of

x

both just less than and just greater than

c

cannot be the location of an absolute maximum of

f

[a,b]