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KVPY Sample Paper KVPY Stream-SX Model Paper-14

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

    A) \[1x+{{x}^{5}}\]

    B) \[5{{x}^{4}}\]

    C) \[\frac{1}{1+{{\left\{ g(x) \right\}}^{5}}}\]       

    D) \[1+{{\left\{ g(x) \right\}}^{5}}\]

    Correct Answer: D

    Solution :

    \[f(g(x))=x\] \[f'(g(x))g'(x)=1\] \[g'(x)=1+{{(g(x))}^{5}}.\]


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