分析

简答题:(本题满分l0分)
设函数f(x,y)=X2+Y2+xy+3,求f(x,y)的极值点与极值.

正确答案

(4分)
f(x,y)的2阶偏导数为
(6分)
 
因为A>0且AC-B2>0所以(0,0)为f(x,y)
的极小值点,极小值为f(0,0)=3.    (10分)
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