设f(x，y)=et2dt，则df(x，y)=__________．

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问题设f(x，y)=

e^t²dt，则df(x，y)=__________．

选项

答案(2xe^(x²+y²)²+[*])dx+(2ye^(x²+y²)²—[*])dy

解析 dy(x，y)=e^(x²+y²)²d(x²+y²)—

=e^(x²+y²)²(2xdx+2ydy)—

=2xe^(x²+y²)²+

)dx+(2ye^(x²+y²)²—

)dy

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考研数学二

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