JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

g

is the inverse of a function

f

and

f^{\prime}(x)=\frac{1}{1+x^5}

, then

g^{\prime}(x)

is equal to

View answer and explanation

Correct option: D

1+\{g(x)\}^5

Option D (

1+\{g(x)\}^5

) is correct because it is derived from differentiating the inverse function relationship and substituting the given derivative of f(x).

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x

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