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求二元函数f(x,y)=xy/x+y^2在点(1,1)的偏导数
人气:469 ℃ 时间:2019-12-21 21:01:25
解答
f'x=(y·(x+y^2)-xy)/(x+y^2)²=y³/(x+y^2)²,则f'x(1,1)= 1/4
fy=(x·(x+y^2)-(xy)·2y)/(x+y^2)²=(x²-xy^2)/(x+y^2)²,则f'y(1,1)= 0
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