简单计算一下即可,答案如图所示
du=e^(x^2+y^2+z^2)*(2xdx+2z*2xsinydx)+e^(x^2+y^2+z^2)*(2ydy+2z*x^2cosydy);au/ax=2xe^(x^2+y^2+z^2)*(1+2zsiny);au/ay=2e^(x^2+y^2+z^2)*(y+zx^2cosy)
au/ax=e^(x^2+y^2+z^2)*(2x+2x^2siny*2xsiny);au/ay=e^(x^2+y^2+z^2)*(2y+2x^2siny*x^2cosy)