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Math Help - Composite Rule problem

  1. #1
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    Composite Rule problem

    Hello

    I need help differentiating the following function using the Composite Rule,

    f(x) = e^(x(4-x)/6)

    Thanks
    Last edited by flyingscotsman; May 20th 2008 at 02:38 PM. Reason: function didn't show power correctly
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by flyingscotsman View Post
    Hello

    I need help differentiating the following function using the Composite Rule,

    f(x) = ex(4-x)/6

    Thanks
    If this is

    f(x)=e^{\frac{x(4-x)}{6}}

    then f'(x)=e^{\frac{x(4-x)}{6}}\cdot\bigg(\frac{x(4-x)}{6}\bigg)'=e^{\frac{x(4-x)}{6}}\bigg(\frac{4-2x}{6}\bigg)
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  3. #3
    Bar0n janvdl's Avatar
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    Quote Originally Posted by flyingscotsman View Post
    Hello

    I need help differentiating the following function using the Composite Rule,

    f(x) = e^x(4-x)/6

    Thanks
    f(x) = \frac{e^x (4-x)}{6}

     <br />
f'(x) = \frac{1}{6} \left( e^x (4-x) - e^x \right)<br />
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  4. #4
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    Thumbs up

    Many thanks Mathstud28 for all your help.
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