摘要
给出了曲线拐点判定的几个充分条件,对比曲线的拐点和极值的判别方法,研究了曲线的拐点、极值点和不可导点之间的关系.结论表明,曲线的可导点不可能同时既为极值点又为拐点.
Several sufficient conditions of inflexion point of curve are gained. The relation among inflexion point, extreme value point and undifferentiable point is investigated by contrasting their sufficient conditions. It is impossible that a differentiable point is extreme value point and inflexion point as well.
出处
《重庆文理学院学报(自然科学版)》
2006年第5期13-15,共3页
Journal of Chongqing University of Arts and Sciences
基金
重庆文理学院项目资助金资助项目(编号:Y2005SJ42)
关键词
拐点
极值点
不可导点
凸函数
inflexion point
extreme value point
undifferentiable point
convex function