设函数z=z(x,y)由方程e的负xy次方-x的平方y+e的z次方=z所确定,求dz.
设函数z=z(x,y)由方程e的负xy次方-x的平方y+e的z次方=z所确定,求dz.
数学人气:318 ℃时间:2019-10-17 14:13:32
优质解答
e^(-xy)-x^2*y+e^z=z,令F(x,y,z)=e^(-xy)-x^2*y+e^z-z=0分别对F取x,y,z的偏导数,可得əF/əx=e^(-xy)*(-y)-2xyəF/əy=e^(-xy)*(-x)-x^2əF/əz=e^z-1而dF=əF/əx*dx+əF/<...
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