| 关于构造辅助函数证明微分中值定理的进一步探讨 |
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| 引用本文： | 聂洪珍,张翠萍. 关于构造辅助函数证明微分中值定理的进一步探讨[J]. 鞍山师范学院学报, 2003, 5(4): 13-15 |
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| 作者姓名： | 聂洪珍 张翠萍 |
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| 作者单位： | 辽宁对外经贸职业学院,辽宁,大连,116052 |
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| 摘 要： | 报分中值定理是微分学的基本理论,其中Lagrange定理和Cauchy定理的证明关键是构造辅助函数。中扰如何构造辅助函数、辅助函数是否惟一等问题作进一步探讨。
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| 关 键 词： | 辅助函数 微分中值定理 证明 函数构造 Lagrange定理 Cauchy定理 |
| 文章编号： | 1008-2441(2003)04-0013-03 |
| 修稿时间： | 2003-03-24 |
Further discussion about construction of supplementary to demonstrate theory of differential value |
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| NIE Hong zhen,ZHANG Cui ping. Further discussion about construction of supplementary to demonstrate theory of differential value[J]. Journal of Anshan Teachers College, 2003, 5(4): 13-15 |
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| Authors: | NIE Hong zhen ZHANG Cui ping |
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| Abstract: | The theory of differential value forms the base of differential calculus,which the demonstration draws highly emphasized attention.The construction of the supplementary function is the key to demonstrating the Lagrange theorem and the Cauchy theorem.The paper discusses such problems further in regards to the single quality and construction of the supplementary function. |
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| Keywords: | Construction Supplementary function The Lagrange theorem |
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