if tan^-1(y/x)= log( root of x^2 +y^2 , prove that dy/dx = x+y/x-y

tan-1yx=logx2+y2=12logx2+y2Differentiating, we get 11+yx2×ddxyx=12x2+y2×ddxx2+y2x2x2+y2×xdydx-yx2=12x2+y2×2x+2ydydxxdydx-y=x+ydydxx+y=y-xdydxdydx=x+yy-x

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