| 导函数的特殊性质 |
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| 引用本文： | 朱文辉.导函数的特殊性质[J].南通职业大学学报,2003,17(3):64-66. |
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| 作者姓名： | 朱文辉 |
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| 作者单位： | 南通职业大学,基础课部,江苏,南通,226007 |
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| 摘 要： | 章讨论了导数的连续性，得到了导函数有极限必连续以及导数值存在时导函数间断必振荡等结论。章研究了导函数的介值性，发现介值性不需要有连续的前提，同时指出了导函数振荡间断回归性的更深刻内涵。
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| 关 键 词： | 导函数 函数连续性 函数间断性 介值定理 |
| 文章编号： | 1008-5327(2003)03-0064-03 |
The Special Properties of the Derivative Functions |
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| ZHU Wen-hui.The Special Properties of the Derivative Functions[J].Journal of Nantong Vocational College,2003,17(3):64-66. |
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| Authors: | ZHU Wen-hui |
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| Abstract: | In this paper,we have discussed the continuityof the derivative function,and obtained the conclusions that the derivative function must be continuous if its limit existed on a point and the discontinuous point of the derivative function must be the point of oscillatory discontinuity if the derivative existed and so on.We also have studied the intermediate value property of the derivative function,and found this property is not dependent on the continuity,meanwhile,we point out some more profound intension of the regression property of the oscillation-type gap of the derivative function. |
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| Keywords: | derivative function oscillation-type gap intermediate value |
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