如果z=arctan(y/x),求全微分dz.

Question

如题所述

Answer 1

dz=(∂z/∂x)dx+(∂z/∂y)dy=-ydx/x²[1+(y/x)²]+dy/x[1+(y/x)²]=-ydx/(1+y²)+xdy/(1+y²)本回答被提问者采纳