Q .     If `g` is the inverse of a function `f` and `f'(x)= \frac{1}{1+x^{5}}`, then `g'(x)` is equal to

JEE 2014 Mains Paper - 5
A

`1+x^{5}`

B

`5x^{4}`

C

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

D

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

HINT

By the property of inverse we know that, `f(g(x))=x` where g(x) is the inverse of f(x).

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