u=f(x,y,z)=e^(x^2+y^2+z^2),z=x^2siny,求au⼀ax,au⼀a

2024-12-25 01:02:31
推荐回答(3个)
回答1:

简单计算一下即可,答案如图所示

回答2:

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)

回答3:

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)