JEE MATHEMATICS MCQ: DIFFERENTIATION

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Let

g\left( x \right)

be the inverse of an invertible function

f\left( x \right)

which is differentiable at

x = c

, then

g'\left( {f\left( c \right)} \right)

equals

View answer and explanation

Correct option: B

\frac{1}{{f'\left( c \right)}}

Option B (

\frac{1}{{f'(c)}}

) is correct because it is the direct application of the inverse function derivative rule.

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