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Math Help - multivariable chain rule proof

  1. #1
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    multivariable chain rule proof

    If u=f(x,y), where x=e^scos(t) and y=e^ssin(t), show that

    \partial^2u/(\partial*x^2)+\partial^2u/(\partial*y^2)=e^-^2^s[\partial^2u/(\partial*s^2)+\partial^2u/(\partial*t^2)]
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  2. #2
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    Krizalid's Avatar
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    \displaystyle\frac{\partial u}{\partial s}=\frac{\partial u}{\partial x}\frac{\partial x}{\partial s}+\frac{\partial u}{\partial y}\frac{\partial y}{\partial s}.

    think you can take it from there?
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  3. #3
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    how do i do the second derivative of the partial derivative?
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