设z=(x^2+y^2)*e^(-arctany/x) ,求dz

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设z=(x^2+y^2)*e^(-arctany/x) ,求dz

设z=(x^2+y^2)*e^(-arctany/x) ,求dz
设z=(x^2+y^2)*e^(-arctany/x) ,求dz

设z=(x^2+y^2)*e^(-arctany/x) ,求dz
dz={2xe^(-arctany/x)+[y/(x^2+y^2)]*(x^2+y^2)*e^(-arctany/x)}dx
+{2ye^(-arctany/x)-[x/(x^2+y^2)]*(x^2+y^2)*e^(-arctany/x)}dy