x=u+v,y=u^2+v^2(1)同时对x求导:1=ux+vx,0=2uux+2vvx所以ux=v/(v-u),vx=u/(u-v)(2)同理对y求导:0=uy+vy,1=2uuy+2vvy所以uy=1/(2u-2v),vy=1/(2v-2u)所以z对x求偏导为zx=-3uv;z对y求偏导为zy=3(u+v)/2