If a differentiable function satisfies for every real

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

If a differentiable function

f

satisfies

f'(x)>0

for every real

x

, which of the following is necessarily true? (a)

f

has exactly one local minimum and no local maximum. (b)

f

has infinitely many local maxima and minima. (c)

f

has neither a local maximum nor a local minimum. (d)

f

has exactly one local maximum and no local minimum.