| 微分中值定理的推广 |
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| 引用本文： | 李克俊. 微分中值定理的推广[J]. 四川教育学院学报, 2010, 26(9): 113-114 |
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| 作者姓名： | 李克俊 |
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| 作者单位： | 西华大学应用数学研究所,成都610000; |
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| 摘 要： | 给出微分学中的中值定理的推广的一个结论,将微分学中的Cauchy中值定理以及Lagrange中值定理作为此推广结论的特殊.另外对推广定理的证明所作的辅助函数解释了它的意义。
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| 关 键 词： | Cauchy中值定理 Lagrange中值定理 辅助函数 |
The Extension of Differential Mean Theorem |
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| LI ke-jun. The Extension of Differential Mean Theorem[J]. Journal of Sichuan College of Education, 2010, 26(9): 113-114 |
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| Authors: | LI ke-jun |
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| Affiliation: | LI ke-jun(Applied Mathematics Research Institute,Xihua University,Chengdu 61000,China) |
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| Abstract: | This paper gives a theorem of mean extension conclusion in the differential calculus,and takes the Cauchy＇s mean theorem and Lagrange＇s mean theorem as a peculiarity of extending conclusion.Moreover the significance of the auxiliary function which does the proof of extending the theorem is explained. |
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| Keywords: | Cauchy＇s mean theorem Lagrange＇s mean theorem the auxiliary function |
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