设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dy/dx=__________.

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问题 设函数y=y(x)由方程ex+y+cos(xy)=0确定,则dy/dx=__________.

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答案[*]

解析 方程两边对z求导得ex+y(1+y)-sin(xy)(xy+y)=0.
解得
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