设z=f(x,y)由方程z一y—z+zez—y—x=0确定,求dz.

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问题 设z=f(x,y)由方程z一y—z+zez—y—x=0确定,求dz.

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答案对z—y—x+xez—y—x=0两边求微分,得 dz—dy一dy+ez—y—x+xez—y—x(dz—dy—dx)=0, 解得dz=[*]+dy.

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