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

$\begin{array}{1 1}(A)\;1+x^5\\ (B)\;5x^4 \\(C)\;\large\frac{1}{1+\{g(x)\}^5} \\(D)\;1+\{g(x)\}^5 \end{array}$

$g'(x)$ is equal to $1+\{g(x)\}^5$
Hence D is the correct answer.