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Math Help - help with partial derivative of e^(xe^y) in tems of y

  1. #1
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    help with partial derivative of e^(xe^y) in tems of y

    I have to find Fy of e^(xe^y) .. Fx is no problem but I can't seem to figure out how to take the partial derivative in terms of y of e^(xe^y) ... the syntax of the two exponential functions is really confusing me.

    Thanks,
    Jeff
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  2. #2
    A Plied Mathematician
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    There's actually less there than meets the eye. Use the chain rule a few times to get your result.
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  3. #3
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    f(x,y)=e^{xe^y}

    To differentiate with respect to y, just remember to use the chain rule.

    \frac{\partial f}{\partial y}=\left(\frac{\partial}{\partial y}xe^y}\right)e^{xe^y}
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