单项选择题

已知某多元函数连续且存在连续的二阶偏导数，则下面哪个条件成立时函数在点X0处取得极值？

A．函数在点X0处对所有变量的一阶偏导数都不为0
B．函数在点X0处对所有变量的一阶偏导数都为0
C．函数在点X0处的Hesse矩阵是不定矩阵
D．函数在点X0处的Hesse矩阵正定或负定

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