| 隐函数的极值求法 |
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| 引用本文： | 冯秀红.隐函数的极值求法[J].高师理科学刊,2010,30(3). |
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| 作者姓名： | 冯秀红 |
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| 作者单位： | 南京信息工程大学,数理学院,江苏,南京210044 |
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| 基金项目： | 江苏省高校自然科学基金，南京信息工程大学科研基金资助项目 |
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| 摘 要： | 高等数学教材中讨论了一元显函数的极值问题,给出了判断函数极值的2个充分条件.基于这2个充分条件研究了隐函数的极值.由于隐函数很多都不是单值函数,所以它的导数不存在的点也可能是导数等于零的点,因此把隐函数的特殊点分为3类,然后分别判断它们是否为极值点,这样丰富了函数的极值理论.
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| 关 键 词： | 极值 隐函数 导数 |
Method on extremum of implicit function |
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| FENG Xiu-hong.Method on extremum of implicit function[J].Journal of Science of Teachers＇College and University,2010,30(3). |
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| Authors: | FENG Xiu-hong |
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| Institution: | FENG Xiu-hong (School of Mathematics and Science; Nanjing University of Information Science and Technology; Nanjing 210044; China); |
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| Abstract: | In higher mathematics book,it give two sufficient condition to judge extreme of explicit function.Gave the method about extremum of implicit function based on above two theorem,most of implicit function is not monodrome function,so the point have no derivative maybe also satisfy derivative equal to zero,then special point of implicit function be divided into three classes,we think about them respectively.Thus enrich the extremum theory. |
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| Keywords: | extremum implicit function differential coefficient |
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