| 二元函数极值点判定的充分条件新证 |
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| 引用本文： | 白安文.二元函数极值点判定的充分条件新证[J].河池师专学报,2008(2):20-21. |
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| 作者姓名： | 白安文 |
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| 作者单位： | 宝鸡职业技术学院数理科学系,陕西凤翔721400 |
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| 摘 要： | 利用多元函数的偏导数与方向导数的概念给出二元函数以f（x，y）的方向导数及其几何意义，然后进一步给出了二元函数沿任意方向L的二阶方向导数Э2f/Эl2再利用其表示的几何意义给出证明二元函数以f（x，y）的极值，最判定定理的一种新方法．
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| 关 键 词： | 二元函数 极值 虽 方向导数 |
New Proof of the Adequate Conditions for the Judgment of Dualistic Function Extreme Point |
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| BAI An-wen.New Proof of the Adequate Conditions for the Judgment of Dualistic Function Extreme Point[J].Journal of Hechi Normal College,2008(2):20-21. |
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| Authors: | BAI An-wen |
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| Institution: | BAI An-wen (Department of Mathematics and Physics, Baoji Technological and Vocational College, Baoji, Shaanxi 721400, China) |
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| Abstract: | The concept of partial derivative ＆ directional derivative of multivariate function is presented for deducing the directional derivative ＆ geometric meaning of Dualistic function. Still, the paper presents a second - order directional derivative of Dualistic function , along an arbitrary direction. Furthermore, with the geometric meaning of the second - order directional derivative, a new way is developed to implement the judgment theorem of the extreme point of Dualistic function. |
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| Keywords: | Dualistic function extreme point directional derivative |
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