ln√(x^2+y^2)=arctan(y/x)(1/2)*ln(x^2+y^2)=arctan(y/x)ln(x^2+y^2)=2arctan(y/x)两边对x求导(2x+2y*dy/dx)/(x^2+y^2)=2[(x*dy/dx-y)/x^2]/[1+(y/x)^2](x+y*dy/dx)/(x^2+y^2)=(x*dy/dx-y)/(x^2+y^2)x+y*dy/dx=x*dy/dx-y(x-y)*dy/dx=x+ydy/dx=(x+y)/(x-y)