| 曲线的拐点和极值 |
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| 引用本文： | 毛一波. 曲线的拐点和极值[J]. 重庆文理学院学报(自然科学版), 2006, 5(5): 13-15 |
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| 作者姓名： | 毛一波 |
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| 作者单位： | 重庆文理学院,数学与计算机科学系,重庆,永川,402160 |
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| 基金项目： | 重庆文理学院校科研和教改项目 |
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| 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。
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| 关 键 词： | 拐点 极值点 不可导点 凸函数 |
| 文章编号： | 1673-8012（2006）05-0013-03 |
| 收稿时间： | 2006-09-06 |
| 修稿时间： | 2006-09-06 |
Inflexion Point and Extreme Value of Curve |
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| MAO Yi-bo. Inflexion Point and Extreme Value of Curve[J]. Journal of Chongqing University of Arts and Scie, 2006, 5(5): 13-15 |
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| Authors: | MAO Yi-bo |
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| Abstract: | 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. |
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| Keywords: | inflexion point extreme value point undifferentiable point convex function |
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