z=arctan(x/y),求dz
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z=arctan(x/y),求dzz=arctan(x/y),求dzz=arctan(x/y),求dz【方法1】z''(x)=y/(x^2+y^2),z''(y)=-x/(x^2+y^2),dz=(ydx
z=arctan(x/y),求dz
z=arctan(x/y),求dz
z=arctan(x/y),求dz
【方法1】z'(x)=y/(x^2+y^2),z'(y)=-x/(x^2+y^2),
dz=(ydx-xdy)/(x^2+y^2).
【方法2】微分形式不变性
dz=[1/(x^2+y^2)]d(x/y)[1/(x^2+y^2)](ydx-xdy)/y^2
=(ydx-xdy)/(x^2+y^2).
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