Guest

f and g are two differentiable functions which satisfy the condition g'a=2,g(a)=b and (fog)=I identify function,then f'(b) is equal to

f and g are two differentiable functions which satisfy the condition g'a=2,g(a)=b and (fog)=I identify function,then f'(b) is equal to

Grade:12

1 Answers

Vanya Saxena
18 Points
15 years ago

Hi,

Identity function  i.e.    f [g(x)]= x

 differentiate both sides we get    f '[ g(x) ] g '(X) =1

              Put x=a  we get               f '(b).2=1

                                                        f '(b)=1/2

Think You Can Provide A Better Answer ?

ASK QUESTION

Get your questions answered by the expert for free