| 左导数存在且连续时的中值定理 |
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| 引用本文： | 谢迎春.左导数存在且连续时的中值定理[J].玉溪师范学院学报,2002,18(3):54-55. |
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| 作者姓名： | 谢迎春 |
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| 作者单位： | 玉溪市春和中学,云南,玉溪,653100 |
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| 摘 要： | Roll定理、Lagrange中值定理和Cauchy中值定理成立于函数在 a、b]上连续、在 (a、b)上可导 ,其中Roll定理还要求函数在区间端点处的函数值相等 .若将Roll定理可导的条件改为左导数 (或右导数 )存在且连续 ,则此三个定理也成立 .
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| 关 键 词： | 左导数 右导数 连续 |
| 文章编号： | 1009-9506(2002)03-0054-02 |
| 修稿时间： | 2002年4月21日 |
Mean Value Theorem of the Existence and Continuation of Left Derivatives |
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| XIE Ying-chun.Mean Value Theorem of the Existence and Continuation of Left Derivatives[J].Journal of Yuxi Teachers' College,2002,18(3):54-55. |
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| Authors: | XIE Ying-chun |
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| Abstract: | The theorem of Roll and the mean value theorem of Larange & Cauchy are true when the function is continuous and can be reckoned in . The theorem of Roll still requires that functional value between extreme points should be equal. Given that the theorem of Roll reckoning condition be changed into the existence & continuation of left or right, then the above 3 theorems remain true. |
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| Keywords: | left derivatives right derivatives continuation |
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