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If log\sqrt((x^2+y^2))=tan^(-1)(y/x), sh...

If `log\sqrt((x^2+y^2))=tan^(-1)(y/x),` show that `(dy)/(dx)=(x+y)/(x-y)`

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Given that, $$ \log \sqrt{x^{2}+y^{2}}=\tan ^{-1}\left(\frac{y}{x}\right) $$ Prove that, $$ \begin{gathered} \frac{d y}{d x}=\frac{x+y}{x-y} \\ ...
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