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Math Help - Partial Derivative Question

  1. #1
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    Partial Derivative Question

    Can't seem to figure it out.

      \frac{d^{2}z}{dx^2}.......... z=arctan(\frac{y}{x})

    Thanks. I did not know how to make a tan inverse in Latex.
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  2. #2
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    Quote Originally Posted by Gotovina7 View Post
    Can't seem to figure it out.

     \frac{d^{2}z}{dx^2}.......... z=arctan(\frac{y}{x})

    Thanks. I did not know how to make a tan inverse in Latex.

    p.s the code is tan^{-1}

    \frac{\partial z}{\partial x}=\frac{1}{1+\left( \frac{y}{x} \right)^2}\cdot \left( -\frac{y}{x^2}\right)=\frac{-y}{x^2+y^2}

    taking one more gives

    \frac{\partial ^2 z}{\partial x^2}=\frac{2xy}{(x^2+y^2)^2}
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