At , the functions and satisfy and . What can be concluded about where…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

x=1

, the functions

f

and

g

satisfy

f(1)=-3,\;g(1)=5,\;f'(1)=4

and

g'(1)=-2

. What can be concluded about

h'(1)

where

h(x)=f(x)g(x)

? (a)

h'(1)=0

(b)

h'(1)

is negative (c)

h'(1)

is positive (d) The sign of

h'(1)

cannot be determined