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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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