If g(x) is the inverse function of f(x) ...

If g(x) is the inverse function of f(x) and `f'(x)=(1)/(1+x^(4))`, then `g'(x)` is

A

`1+[g(x)]^4`

B

`1-[g(x)]^4`

C

`1+[f(x)]^4`

D

`1/(1+[g(x)]^4`

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The correct Answer is:

A

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