设函数y=y(x)由e2x+y一cos(xy)=e一1确定,则曲线y=y(x)在x=0对应点处的法线方程为_________.

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问题 设函数y=y(x)由e2x+y一cos(xy)=e一1确定,则曲线y=y(x)在x=0对应点处的法线方程为_________.

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答案[*]

解析 当x=0时,y=1,
e2x+y一cos(xy)=e一1两边对x求导得=0,
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