JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
    Derivative of \[{{x}^{6}}+{{6}^{x}}\]with respect to x is [Kerala (Engg.) 2002]

    A)            \[12x\]

    B)            \[x+4\]

    C)            \[6{{x}^{5}}+{{6}^{x}}\,\,\log 6\]

    D)            \[6{{x}^{5}}+x{{6}^{x-1}}\]

    Correct Answer: C

    Solution :

               Let    \[f(x)={{x}^{6}}+{{6}^{x}}\]. Then \[{f}'(x)=6{{x}^{5}}+{{6}^{x}}\log 6.\]


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