Let \[g(x)\] be the inverse of the function \[f(x)\] and \[f'(x)=\frac{1}{1+{{x}^{3}}}\]. Then \[{g}'(x)\] is equal to [Kurukshetra CEE 1996]

Let \[g(x)\] be the inverse of the function \[f(x)\] and \[f'(x)=\frac

1.	Let \[g(x)\] be the inverse of the function \[f(x)\] and \[f'(x)=\frac{1}{1+{{x}^{3}}}\]. Then \[{g}'(x)\] is equal to [Kurukshetra CEE 1996]
A.	\[\frac{1}{1+{{(g(x))}^{3}}}\]
B.	\[\frac{1}{1+{{(f(x))}^{3}}}\]
C.	\[1+{{(g(x))}^{3}}\]
D.	\[1+{{(f(x))}^{3}}\]
Answer» D. \[1+{{(f(x))}^{3}}\]

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Let \[g(x)\] be the inverse of the function \[f(x)\] and \[f'(x)=\frac{1}{1+{{x}^{3}}}\]. Then \[{g}'(x)\] is equal to [Kurukshetra CEE 1996]

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