设z=x/(x+y),求二阶偏导

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设z=x/(x+y),求二阶偏导设z=x/(x+y),求二阶偏导设z=x/(x+y),求二阶偏导Zx=[(x+y)-x]/(x+y)^2=y/(x+y)^2Zy=-x/(x+y)^2Zxx=-2y/(

设z=x/(x+y),求二阶偏导
设z=x/(x+y),求二阶偏导

设z=x/(x+y),求二阶偏导
Zx=[(x+y)-x]/(x+y)^2=y/(x+y)^2
Zy=-x/(x+y)^2
Zxx=-2y/(x+y)^3
Zyy=2x/(x+y)^3
Zxy=(x-y)/(x+y)^3

dz/dx=2sin(x+y)*cos(x+y) dz/dy=2sin(x+y)*cos(x+y)
d(dz/dx)/dx=2cos(x+y)*cos(x+y)-2sin(x+y)*sin(x+y)
d(dz/dy)/dy=2cos(x+y)*cos(x+y)-2sin(x+y)*sin(x+y)
d(dz/dx)/dy=2cos(x+y)*cos(x+y)-2sin(x+y)*sin(x+y)