参考答案:
x2yxy 1.dZ/dx=(e+30xe)/(e+e). 2222 2.Z''x=(mcosy-tsiny)/(m+t),Z''y=-x(msiny+tcosy)/(m+v). 3.dz/dx=6xf''u+e^xf''v,dz/dy=-20yf''u. 4.Z''x=6xf1''+5f2'',Z''y=-2yf1''+10f2''. 22 5.?z/?x=-10yz/(3z+10xy),?z/?y=-10xz/(3z+10xy). 6.?z/?y=10y/3. 2222 7.?z/?x=(15x-3yz)/(3xy-3z),?z/?y=(3y-3xz)/(3xy-3z). 8.?z/?x=y/(1+lnz),?z/?y=(x+5)/(1+lnz). xyzxyzxyz 9.?u/?x=5+yze,?u/?y=(1/3)cos(y/3)+xze,?u/?z=xye. 10. 2222 ?u/?x=yz(1+6x)e^(3x+10y+5z), 2222 ?u/?y=xz(1+20y)e^(3x+10y+5z), 2222 ?u/?z=xz(1+10z)e^(3x+10y+5z).
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