
微积分多元函数问题,如图15题,求解答过程!
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dz/dx=dz/du*du/dx+dz/dv*dv/dx
=dz/du+dz/dv
d^2z/dxdy=d^2z/du^2+d^2z/dudv+d^2z/dudv-d^2z/dv^2
=d^2z/du^2-d^2z/dv^2+2d^2z/dudv
=dz/du+dz/dv
d^2z/dxdy=d^2z/du^2+d^2z/dudv+d^2z/dudv-d^2z/dv^2
=d^2z/du^2-d^2z/dv^2+2d^2z/dudv
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