设有方程x+y^2+z^2=2z,求dz/dx dz/dy
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设有方程x+y^2+z^2=2z,求dz/dxdz/dy设有方程x+y^2+z^2=2z,求dz/dxdz/dy设有方程x+y^2+z^2=2z,求dz/dxdz/dy两边同时微分:dx+2ydy+2
设有方程x+y^2+z^2=2z,求dz/dx dz/dy
设有方程x+y^2+z^2=2z,求dz/dx dz/dy
设有方程x+y^2+z^2=2z,求dz/dx dz/dy
两边同时微分:
dx+2ydy+2zdz=2dz
dz=1/(2-2z)dx+2y/(2-2z)dy
dz/dx=1/(2-2z)
dz/dy=2y/(2-2z)
注意:这是全微分求偏导数
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