极值第二充分条件的推广及应用

A Generalization and Application of The Second Sufficient Condition of Judging Extremum

极值第二充分条件的推广,使得对于用第二充分条件判定函数极值失效的情形,可以通过进一步求高阶导数来研究函数的极值。由例可见,它不失为一种方便简捷的判定方法。

By generalizing the second sufficient condition of judging extremum to caculate the high-order derivative,a function extremum can be judged when the second sufficient condition of judging extremum is invalid.This paper through two examples helps to discover the effectiveness of this new judging method.