| 一类函数乘积可导的充分必要条件 |
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| 引用本文： | 金晓菁. 一类函数乘积可导的充分必要条件[J]. 江苏广播电视大学学报, 2007, 18(5): 61-62,71 |
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| 作者姓名： | 金晓菁 |
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| 作者单位： | 南通职业大学,江苏,南通,226007 |
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| 摘 要： | 利用函数可导的基本定义,得出并证明了判定两个函数乘积可导的充分必要条件,指出两个函数乘积在某一点可导并不一定要求这两个函数在该点都可导,甚至该点可以是其中一个函数的间断点,并针对该间断点的不同类型,给出了具体而简便的判别方法。
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| 关 键 词： | 函数乘积 可导性 间断点 充分必要条件 |
| 文章编号： | 1008-4207（2007）05-0061-02 |
| 修稿时间： | 2007-09-11 |
Sufficient and Necessary Condition for the Differentiability of a Class Function Products |
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| JIN Xiao-jing. Sufficient and Necessary Condition for the Differentiability of a Class Function Products[J]. Journal of Jiangsu Radio & Television University, 2007, 18(5): 61-62,71 |
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| Authors: | JIN Xiao-jing |
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| Affiliation: | Nantong Vocational College, Nantong 226007, Jiangsu, China |
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| Abstract: | According to the basic definition of the differentiability of functions,a necessary and sufficient condition is proved to decide the differentiability of the two function preducts.and the two function products are different at a point,but it is unnecessary for both functions.The point even can be the discontinuous point of the either function.According to different types of the discontinuous points,specific and simple methods for judging are presented. |
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| Keywords: | function product differentiability discontinuous point necessary and Sufficient Condition |
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