设f(x,y)=et2dt,则df(x,y)=__________.

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问题 设f(x,y)=et2dt,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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