| 函数在一点的可导性与在该点附近的导数的关系 |
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| 引用本文： | 张隆辉,魏国祥.函数在一点的可导性与在该点附近的导数的关系[J].楚雄师范学院学报,2007,22(6):12-14. |
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| 作者姓名： | 张隆辉 魏国祥 |
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| 作者单位： | 四川职业技术学院,四川遂宁629000 |
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| 摘 要： | 本文通过研究函数在一点的可导性与函数在该点附近的导数的关系,得出了函数在一点可导的一个充要条件,并通过举例说明了它在研究分段函数在其分段点的可导性方面的运用。
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| 关 键 词： | 可导性 导数 充要条件 单侧极限 |
| 文章编号： | 1671-7406（2007）06-0012-03 |
| 修稿时间： | 2007-04-15 |
The Relationship between the Differentiability on a Point of a Function and the Derivatives of the Function around the Point |
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| ZHANG Long-hui,WEI Guo-xiang.The Relationship between the Differentiability on a Point of a Function and the Derivatives of the Function around the Point[J].journal of chuxiong normal university,2007,22(6):12-14. |
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| Authors: | ZHANG Long-hui WEI Guo-xiang |
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| Institution: | Department of Mathematics, Sichuan Vocational and Technical College, Suining 629000, China |
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| Abstract: | In the paper,we discuss the relationship between the differentiability on a point of a function and the derivatives of the function around the point,and get a sufficient and necessary condition for the function to be differential on a point.There are some examples for the application of the differentiability of a piecewise function on its piecewise point. |
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| Keywords: | Differentiability Derivative Sufficient and Necessary condition One-sided Limit |
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