If $g$ is the inverse of a function $f$ and $f'(x) = \frac{1}{1+x^5}$ , then $g'(x)$ is equal to

Question

( A ) $1 + \{g(x) \}^5$
( B ) $\frac{1}{1+\{g(x)\}^5}$
( C ) $1+x^5$
( D ) $5x^4$