CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    The derivative of\[{{x}^{6}}+{{6}^{x}}\]with respect to\[x\]is:

    A)  \[12x\]                                

    B)                        \[x+4\]

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

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

    E)                         none of these

    Correct Answer: C

    Solution :

    Let \[y={{x}^{6}}+{{6}^{x}}\] On differentiating w.r.t.\[x,\]we get                 \[\frac{dy}{dx}=6{{x}^{5}}+{{6}^{x}}{{\log }_{e}}6\]


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