arctan(y/x)= (1/2)ln(x^2+y^2)求导: 1/(1+y^2/x^2) * (-y/x^2 + y ' /x ) = (x + y y ') / (x^2 +y^2)即 - y + x y ' = x + y y '解得: y ' = (x+y)/(x-y)
两边求导(y'x-y/x^2)/[1+(y/x)^2]=x+yy'/(x^2+y^2)^1/2整理y'x-y=(x+yy')(x^2+y^2)^1/2