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

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

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