| 一元函数微分的一种处理方法 |
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| 引用本文： | 张琳.一元函数微分的一种处理方法[J].陕西理工学院学报(自然科学版),2001,17(2):49-51. |
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| 作者姓名： | 张琳 |
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| 作者单位： | 陕西工学院子校, |
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| 摘 要： | 给出一元函数微分的一种处理方法。即在定义了导数之后，直接给出利用导函数的符号判定函数单调性的方法,而不利用微分中值定理；在此基础上，我们可以很方便地给出所有微分中值定理的证明。
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| 关 键 词： | 导数定义 导数的介值定理 函数的单调性 导数的中值定理 |
| 文章编号： | 1002-3410(2001)02-0049-03 |
| 修稿时间： | 2000年12月6日 |
A method of dealing with differential calculus of one variable |
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| ZHANG Lin.A method of dealing with differential calculus of one variable[J].Journal of Shananxi University of Technology:Natural Science Edition,2001,17(2):49-51. |
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| Authors: | ZHANG Lin |
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| Abstract: | In this paper, a new method of dealing with differential calculus of one variable is given:(1)this method can decide on the monotonicity of a function only by using the sign of its differential coefficient rather than by differential coefficient mean value theorems;(2)on the basis of (1) ,by using Theorem1.1 and Theorem2.1,all differential coefficient mean value theorems are proved.This two points are different from traditional method. |
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| Keywords: | definition of derivation interval value theorem of differential coefficient monotonicity differential coefficient mean value theorem |
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