A twice–differentiable function satisfies for

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

Problem

A twice–differentiable function

f

satisfies

f''(x)>0

for

x< -2

and

1< x<4

, and

f''(x)<0

for

-2< x<1

and

x>4

. Which of the following lists all

x

–values at which

f

has a point of inflection? (a)

x=-2,\;x=1,\;x=4

(b)

x=-2

only (c)

x=1

and

x=4

(d)

x=-2

and

x=4