| Cauchy中值定理的推广及应用 |
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| 引用本文： | 陈辉,黄慧.Cauchy中值定理的推广及应用[J].大学数学,2010,26(3). |
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| 作者姓名： | 陈辉 黄慧 |
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| 作者单位： | 1. 安徽商贸职业技术学院,芜湖,241003
2. 江西工业贸易职业技术学院,南昌,330100 |
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| 摘 要： | 讨论了Cauchy中值定理中分子分母上的导函数可以同时取零值的情况,获得了Cauchy中值定理的一种推广,改进了1]和2]中的结果.
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| 关 键 词： | Cauchy中值定理 微分中值定理 中值点 可导性 |
The Extension of Cauchy's Mean Value Theorem and Its Applications |
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| CHEN Hui,HUANG Hui.The Extension of Cauchy's Mean Value Theorem and Its Applications[J].College Mathematics,2010,26(3). |
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| Authors: | CHEN Hui HUANG Hui |
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| Abstract: | We obtain an extention of Cauchy's mean value theorem by considering the derivatives of the numerator and the denominator functions in Cauchy's mean value theorem may be zero at the sametime,that improve the corresponding results presented in 1] and 2]. |
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| Keywords: | Cauchy's mean value theorem differential mean value theorems intermediate point derivative |
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