偏导数过程如下: z=xarctanxy dz=arctanxydx+x*[1/(1+x^2y^2)]*(ydx+xdy) dz=arctanxydx+xydx/(1+x^2y^2)+x^2dy/(1+x^2y^2) 所以: z对x的偏导数为:arctanxy+xy/(1+x^2y^2) z对y的偏导数为:x^2/(1+x^2y^2)