一元函数极值的若干注记

Some Notes of Extremum of Monadic Function

文章以反例的形式对一元函数极值的定义、稳定点及取极值的充分条件进行了解析,给出了不可导点取极值的判别方法,讨论了函数极值点的存在性与唯一性问题,弄清楚了极值与最值、极值点与拐点的之间关系。

This paper analyses the definition, stable point and the sufficient conditions of taking the extreme value of monadic function by using counter - examples, gives the discriminant method of taking the extreme value of nonconductable point, discusses the problem of the existence and uniqueness of the extremum point of function and makes clear the relations between extreme value and maximum value, minimum value, extremum point and break point.