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Math Help - Please help me about differentiation of exponential :(

  1. #1
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    Please help me about differentiation of exponential :(

    Write x^n = e^lnx^n = e^nlnx and use the fact proved in class that if f(x) =
    e^g(x) then f'(x) = e^g(x)g'(x) to show that in general the derivative of
    x^n is nx^(n-1)

    Please help me to prove it
    Have a nice day!
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  2. #2
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    Re: Please help me about differentiation of exponential :(

    Please help you to prove it? Most of the work has already been done for you. You have a VERY simple formula to follow: \displaystyle \begin{align*} f'(x) = e^{g(x)}\,g'(x) \end{align*}. Apply it!
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