The derivative of a function satisfies for

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

Problem

The derivative of a function

h

satisfies

h'(x)<0

for

x\in(-4,2)

and

h'(x)>0

for

x\in(2,7)

. Which one of the following statements is true? (a)

h

is increasing on

(-4,2)

and decreasing on

(2,7)

(b)

h

is decreasing on

(-4,2)

and increasing on

(2,7)

(c)

h

is increasing on

(-4,7)

(d)

h

is decreasing on

(-4,7)