| 导数极限定理的推广 |
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| 引用本文： | 王冲,王金花,赵志平.导数极限定理的推广[J].沧州师专学报,2014(1):28-31. |
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| 作者姓名： | 王冲 王金花 赵志平 |
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| 作者单位： | [1]沧州师范学院数学系,河北沧州061001 [2]泊头职业学院,河北泊头062150 |
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| 基金项目： | 2012年度河北省教育厅课题＂数学分析中教法与函数分析性质的研究＂,编号：No.z2010055. |
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| 摘 要： | 导数的极限定理是数学分析中较重要的一个定理,既是导数的性质之一,又是求函数导数的工具.将导数极限定理推广到了高阶导数、偏导数、方向导数,从而得到了求高阶导数、偏导数以及方向导数的一个重要工具.
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| 关 键 词： | 导数的极限定理 高阶导数 偏导数 方向导数 |
The Popularization of the Derivative Limit Theorem |
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| WANG Chong,WANG Jin-hua,ZHAO Zhi-ping.The Popularization of the Derivative Limit Theorem[J].Journal of Cangzhou Teachers‘College,2014(1):28-31. |
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| Authors: | WANG Chong WANG Jin-hua ZHAO Zhi-ping |
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| Institution: | 1. Department of Mathematics, C angzhou Normal University, Cangzhou, Hebei 061001, China; 2. Botou Vocational College, Botou, Hebei 062150, China) |
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| Abstract: | The derivative limit theorem is an important theorem in mathematical analysis, which is both a property of the derivative, and also a tool of seeking function derivative. In this paper, the derivative limit theorem is elevated to the higher order derivative, partial derivative, directional derivative. Thus an important tool is obtained for high order derivative, partial derivative and directional derivative. |
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| Keywords: | the derivative limit theorem higher order derivative partial derivative directional derivative |
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