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Math Help - differentiation!

  1. #1
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    differentiation!

    given  z=In\sqrt{x^2+y^2}, x=re^s, y=re^{-s} find \frac{dz}{ds}

    pls help on the problem above,thanks
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  2. #2
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    Re: differentiation!

    Quote Originally Posted by lawochekel View Post
    given  z=In\sqrt{x^2+y^2}, x=re^s, y=re^{-s} find \frac{dz}{ds}

    pls help on the problem above,thanks
    Hint: \displaystyle \begin{align*} \frac{dz}{ds} = \frac{\partial z}{\partial x}\,\frac{dx}{ds} + \frac{\partial z}{\partial y}\,\frac{dy}{ds} \end{align*}
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