题目如图所示 20
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x/z=lnz/y
F(x,y,z)=x/z-lnz/y=0
Fx=1/z
Fy=-1/(z/y)(zlny)
=-ylny
Fz=xlnz-1/(z/y)(1/y)
=xlnz-1/z
az/ax=-Fx/Fz
=-(1/z)/(xlnz-1/z)
=-1/(xzlnz-1)
a^2z/ax^2=-ln(xzlnz-1)(zlnz)
=-zlnzln(xzlnz-1)
az/ay=-Fy/Fz
=-(-ylny)/(xlnz-1/z)
=yzlny/(xzlnz-1)
a^2z/ay^2=z/(xzlnz-1)(lny+y×1/y)
=z(lny+1)/(xzlnz-1)
F(x,y,z)=x/z-lnz/y=0
Fx=1/z
Fy=-1/(z/y)(zlny)
=-ylny
Fz=xlnz-1/(z/y)(1/y)
=xlnz-1/z
az/ax=-Fx/Fz
=-(1/z)/(xlnz-1/z)
=-1/(xzlnz-1)
a^2z/ax^2=-ln(xzlnz-1)(zlnz)
=-zlnzln(xzlnz-1)
az/ay=-Fy/Fz
=-(-ylny)/(xlnz-1/z)
=yzlny/(xzlnz-1)
a^2z/ay^2=z/(xzlnz-1)(lny+y×1/y)
=z(lny+1)/(xzlnz-1)
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