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Let `g(x)` be the inverse of the function `f(x),` and `f'(x)=1/(1+x^3)` then `g'(x)` equals

A

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

B

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

C

`1+(g(x))^(3)`

D

`1+(f(x))^(3)`

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