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Math Help - sinh

  1. #1
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    sinh

    hi there,

    can anyone help me with the derivative of sinh(3x)
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by kate45 View Post
    hi there,

    can anyone help me with the derivative of sinh(3x)

    \sinh(3x)=\frac{e^{3x}-e^{-3x}}{2}

    \cosh(3x)=\frac{e^{3x}+e^{-3x}}{2}

    \frac{d}{dx}\sinh(3x)=\frac{d}{dx}\left( \frac{e^{3x}-e^{-3x}}{2}\right)=3\left( \frac{e^{3x}+e^{-3x}}{2}\right)=3\cosh(3x)
    Last edited by TheEmptySet; June 18th 2008 at 09:46 PM. Reason: lost a 3
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  3. #3
    MHF Contributor kalagota's Avatar
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    or simply, if you already know the derivative of sinh x, just apply chain rule..
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