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

Question

$(a)\;\large\frac{1}{1+ (g(x))^{5}}\qquad(b)\;1 + (g(x))^{5}\qquad(c)\;1+x^{5}\qquad(d)\;x^{4}$