Suppose is differentiable at and for

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

Problem

Suppose

g

is differentiable at

x=2

and

g'(x)>0

for

x<2

while

g'(x)<0

for

x>2

. Which statement is true about

g

x=2

? (a)

x=2

is a point of inflection of

g

(b)

g

is strictly increasing at

x=2

(c)

x=2

is a point of local maximum of

g

(d)

x=2

is a point of local minimum of

g