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

Question

${1 \over {1 + {{\left\{ {g\left( x \right)} \right\}}^5}}}$

$1 + {\left\{ {g\left( x \right)} \right\}^5}$

$1 + {x^5}$

$5{x^4}$

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