JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Application +4 | -1

Let

f

and

g

be differentiable functions satisfying

g^{\prime}(a)=2, g(a)=b

and

fog = I

(identity function). Then,

f^{\prime}(b)

is equal to

View answer and explanation

Correct option: C

01-Feb

Option C (01-Feb), which translates to 1/2, is correct because by differentiating

f(g(x)) = x

and substituting the given values, we find

f'(b) = 1/2

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