If log(x2+y2)=2tan-1(y/x), then show that dy/dx=x+y/x-y. Share with your friends Share 13 Vipin Verma answered this log(x2+y2) = 2tan-1yxDifferentiating both sides with respect to x,we get1(x2+y2)×(2x +2ydydx) =2×11+(yx)2×xdydx-yx2Or 1(x2+y2)×(2x +2ydydx) = 2×x2x2+y2×xdydx-yx2Or (2x +2ydydx) =2×(xdydx-y) Or x+ydydx =xdydx-y Or dydx=x+yx-y (Hence proved) 49 View Full Answer