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

B

` (4x^(3))/(1+x^(4))`

C

` (1)/(1+[g(x)]^(3))`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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