设z=f(x+y,xy)是可微分两次的函数,求二阶偏导

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设z=f(x+y,xy)是可微分两次的函数,求二阶偏导
设z=f(x+y,xy)是可微分两次的函数,求二阶偏导

设z=f(x+y,xy)是可微分两次的函数,求二阶偏导
dz/dx=f1+yf2
d^2z/dx^2=f11+yf12+yf21+y^2f22=f11+2yf12+f22
dz/dy=f1+xf2
d^2z/dy^2=f11+xf12+xf21+x^2f22=f11+2xf12+f22