| 微分中值定理常见题型的解题方法 |
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| 引用本文： | 曹金亮,;谢锦涛.微分中值定理常见题型的解题方法[J].浙江水产学院学报,2014(5):478-482. |
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| 作者姓名： | 曹金亮 ;谢锦涛 |
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| 作者单位： | [1]浙江海洋学院数理与信息学院,浙江舟山316022; [2]浙江海洋学院东海科学技术学院,浙江舟山316000 |
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| 摘 要： | 微分中值定理建立了导数与函数的关系.与微分中值定理有关的常见题型在高等数学的学习中占有重要的地位,构造辅助函数是证明微分中值定理和解题的主要方法,可以起到化繁为简,大大降低解题难度的效果.本文主要介绍与微分中值定理有关的常见题型的解题方法.
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| 关 键 词： | 微分中值定理 辅助函数 常见题型 |
Common Approaches to Problems Related to Mean Value Theorem of Differentials |
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| Institution: | CAO Jin-liang,XIE Jin-tao( 1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316000; 2. Donghai School of Science and Technology, Zhejiang Ocean University, Zhoushan 316022, China) |
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| Abstract: | One theorem of particular significance in advanced mathematics is the Mean Value Theorem of Differentials（for short, MVTD） which establishes a relation between functions and their derivatives. The Con-struction of auxiliary functions in proving MVTD greatly simplifies the problems. This paper introduces some common approaches to problems related to MVTD. |
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| Keywords: | Mean Value Theorem of Differentials auxiliary functions common problems |
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