| Rolle中值定理的推广及其在解题方面的应用 |
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| 引用本文： | 刘红玉.Rolle中值定理的推广及其在解题方面的应用[J].宜春学院学报,2012,34(8):24-26. |
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| 作者姓名： | 刘红玉 |
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| 作者单位： | 陇南师范高等专科学校,甘肃成县742500 兰州大学数学与统计学院,兰州730000 |
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| 摘 要： | 微分中值定理把函数在区间上的值的变化与导数联系起来,是利用导数研究函数整体性状最基本的理论依据,在数学中十分重要,内容极为丰富。以Rolle中值定理为例,把一元函数的Rolle中值定理推广到多元函数及向量值函数的情形,并进行了几何分析,最后通过实例阐述了Rolle中值定理在解题方面的应用。
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| 关 键 词： | 可微 连续 Rolle中值定理 Jacobi矩阵 应用 |
The Generalization of Rolle Mean - Value Theorem and Its Application in Problem - solving |
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| LIU Hong-yu.The Generalization of Rolle Mean - Value Theorem and Its Application in Problem - solving[J].Journal of Yichun University,2012,34(8):24-26. |
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| Authors: | LIU Hong-yu |
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| Institution: | LIU Hong-yu(Longnan Teachers College,Gansu 742500;Lanzhou University,Lanzhou 730000,China) |
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| Abstract: | Differential mean value theorem connects changes of the function values on the interval with derivative,it’s the most basic theoretical basis to study the overall character of functions by using derivative,and also very important in mathematics,and the content is extremely rich.In this paper,taking Rolle Mean-Value theorem as an example,and extends it to the case of multi-function and the vector-valued functions,and given geometric analysis,then elaborates the mean value theorem in solving problems by example. |
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| Keywords: | differentiable continuous Rolle Mean - Value theorem Jacobi Matrix application |
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