MathematicsEasy63×since 2002Q3656If ggg is the inverse of a function fff and f′(x)=11+x5,f'\left( x \right) = {1 \over {1 + {x^5}}},f′(x)=1+x51, then g′(x)g'\left( x \right)g′(x) is equal to:A11+{g(x)}5{1 \over {1 + {{\left\{ {g\left( x \right)} \right\}}^5}}}1+{g(x)}51B1+{g(x)}51 + {\left\{ {g\left( x \right)} \right\}^5}1+{g(x)}5C1+x51 + {x^5}1+x5D5x45{x^4}5x4Check answerSkip