求f(x,y)=xy-x^2-y^2+2x+2y的极值?
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求f(x,y)=xy-x^2-y^2+2x+2y的极值?
求f(x,y)=xy-x^2-y^2+2x+2y的极值?
求f(x,y)=xy-x^2-y^2+2x+2y的极值?
f'x=y-2x+2=0, 得:y=2x-2
f'y=x-2y+2=0,代入y: x-4x+4+2=0, 得:x=2,故y=2
A=f"xx=-2
B=f"xy=1
C=f"yy=-2
AC-B^2=4-1=3>0, 且A
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