JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

g

is inverse of

f

and

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

then

g^{\prime}(x)

equals

View answer and explanation

Correct option: C

1+[g(x)]^n

Option C (

1+[g(x)]^n

) is correct because it is derived from the relationship between the derivatives of a function and its inverse.

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