| 浅析偏导数恒为零的二元函数的特征 |
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| 引用本文： | 李苗苗,付芳芳,姚晓闺,李国望.浅析偏导数恒为零的二元函数的特征[J].数学学习,2022,25(1):18-19,28. |
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| 作者姓名： | 李苗苗 付芳芳 姚晓闺 李国望 |
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| 作者单位： | 陆军炮兵防空兵学院基础部,安徽合肥230031 |
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| 基金项目： | 陆军炮兵防空兵学院科研自主立项基金 |
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| 摘 要： | 本文分析了一定条件下一阶偏导数恒为零的二元函数的特征,同时给出了条件改变时结论不一定成立的例子.在此基础上又探讨了二阶偏导数恒为零的情形下二元函数的特征,并给出了相应的例子.
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| 关 键 词： | 二元函数 偏导数 |
On the Characteristics of Binary Functions with Zero Partial Derivatives |
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| LI Miaomiao,FU Fangfang,YAO Xiaogui,LI Guowang.On the Characteristics of Binary Functions with Zero Partial Derivatives[J].Studies In College Mathematics,2022,25(1):18-19,28. |
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| Authors: | LI Miaomiao FU Fangfang YAO Xiaogui LI Guowang |
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| Institution: | (Department of Foundation, Army Academy of Artillery and Air Defense, Hefei 230031, China) |
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| Abstract: | In this paper,we analyze the characteristics of binary functions whose first partial derivatives are equal to zero under certain conditions.We provide examples fail to meet the conclusion if the conditions change.We also discuss the characteristics of binary functions when the second partial derivative is zero,and give the corresponding examples. |
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| Keywords: | binary function partial derivative |
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