
在线等,求几道数学题,最好能把求解过程写出来,能发图片最好,谢谢,急急!!
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(1)dz/dx=(dz/du)(du/dx)+(dz/dv)(dv/dx)
=2uv+u^2y
dz/dy=(dz/du)(du/dy)+(dz/dv)(dv/dy)
=2uv+u^2x
(2)dz/dx=(dz/du)(du/dx)+(dz/dv)(dv/dx)
=4ux+e^x
(3)u=x^y
lnu=ylnx
u=e^(ylnx)
du/dx=e^(ylnx)(y/x)
du/dy=lnxe^(ylnx)
dz/dx=(dz/du)(du/dx)+(dz/dv)(dv/dx)
=2uve^(ylnx)(y/x)+u^2ycos(xy)
dz/dy=(dz/du)(du/dy)+(dz/dv)(dv/dy)
=2uvlnxe^(ylnx)+u^2xcos(xy)
=2uv+u^2y
dz/dy=(dz/du)(du/dy)+(dz/dv)(dv/dy)
=2uv+u^2x
(2)dz/dx=(dz/du)(du/dx)+(dz/dv)(dv/dx)
=4ux+e^x
(3)u=x^y
lnu=ylnx
u=e^(ylnx)
du/dx=e^(ylnx)(y/x)
du/dy=lnxe^(ylnx)
dz/dx=(dz/du)(du/dx)+(dz/dv)(dv/dx)
=2uve^(ylnx)(y/x)+u^2ycos(xy)
dz/dy=(dz/du)(du/dy)+(dz/dv)(dv/dy)
=2uvlnxe^(ylnx)+u^2xcos(xy)
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