JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

If a function

g(x)

is the inverse of

f(x)

and

f^{\prime}(x)=\frac{1}{1+x^3}

, then

g^{\prime}(x)=\ldots \ldots

View answer and explanation

Correct option: C

1+[g(x)]^3

Option C (

1+[g(x)]^3

) is correct because it is obtained by differentiating the inverse function relationship and substituting appropriately.

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