设y=y(x)由方程ex+y+cos(xy)=sin3x+2确定,则|x=0=________.

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问题 设y=y(x)由方程ex+y+cos(xy)=sin3x+2确定,则|x=0=________.

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答案当x=0时,由ex+y+cos(xy)=sin3x+2得y=0; ex+y+cos(xy)=sin3x+2两边同时对x求导得 [*]

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