求z=ye^xy的导数.这是个隐函数.

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z=ye^(xy)
z对x的偏导数
zx=ye^(xy)*(xy)'
=y²e^(xy)
=yzz对y的偏导数
zy=e^(xy)*y'+y*e^(xy)*(xy)'
=e^(xy)+xye^(xy)
=(1+xy)e^(xy)或
=e^(xy)+xz