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  1. #1
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    Need help with....

    If anyone can help me with:
    Find the derivative

    x5
    y = e Inx



    Thank You

    y=e^{x^5}ln(x)
    Last edited by ArmiAldi; February 28th 2008 at 04:22 PM. Reason: correcting
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by ArmiAldi View Post
    If anyone can help me with:
    Find the derivative

    x5
    y = e Inx



    Thank You
    If you mean

    y=e^{5x}ln(x)

    the product rule gives us...

    5xe^{5x}ln(x)+\frac{1}{x}e^{5x}=e^{5x}\left(5xln(x  )+\frac{1}{x}\right)=

    e^{5x}\left(\frac{5x^2ln(x)+1}{x^2}\right)
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  3. #3
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    LaTex

    If you hover over equations with you cursor you can see the code used to generate them. Also if you double click on an equation it will open the code for view in a seperate box.

    It makes reading and writing equations alot easier.

    Good luck.
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  4. #4
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    Please use the ^ sign to show powers. Otherwise, it can get confusing. =)

    As a general rule, when deriving:

    \frac{d}{dx}\ x^n = n x^{n-1}

    So use that to find the derivative of x^5.

    If your second derivative is e^{lnx}, then you can simplify it by remembering that e^{lnx}\ =\ x
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