求z=yarctan(y/x)的全微分,dz/dx,dz/du- =打错,是dz/dy

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求z=yarctan(y/x)的全微分,dz/dx,dz/du-=打错,是dz/dy求z=yarctan(y/x)的全微分,dz/dx,dz/du-=打错,是dz/dy求z=yarctan(y/x)的

求z=yarctan(y/x)的全微分,dz/dx,dz/du- =打错,是dz/dy
求z=yarctan(y/x)的全微分,dz/dx,dz/du
- =打错,是dz/dy

求z=yarctan(y/x)的全微分,dz/dx,dz/du- =打错,是dz/dy
Z‘x=(-y^2/x^2)/(1+y^2/x^2)=-y^2/(x^2+y^2)
Z‘y=arctan(y/x)+xy/(x^2+y^2)
dz=[-y^2/(x^2+y^2)]dx+[arctan(y/x)+xy/(x^2+y^2)]dy