If g is the inverse of a function f and ...

If g is the inverse of a function f and `f'(x)=(1)/(1+x^(5))`, then g'(x) is equal to-

A

`1+x^(5)`

B

`5x^(4)`

C

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

D

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

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