浅析微分中值定理的应用  

On the Application of Mean Value Theorem

作　　者：杨旭婷[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《甘肃高师学报》2011年第5期12-13,共2页Journal of Gansu Normal Colleges

摘　　要：微分中值定理是微分学的理论基础,为研究函数的整体性态提供了有力的分析工具.该文较为系统地阐述了各个不同的中值定理之间的等价性,并通过丰富的例子详细介绍了中值定理在各种不同问题中的应用.Mean Value Theorem is the theoretical basis of differential calculus, which works as a powerful analytical tool for studying the integrity of functional operation. This paper systematically analyzed the different values of the equivalence between Theorems. In addition, by presenting a series of examples, the author also introduces the applications of Mean Value Theorem in different problem sets.

关 键 词：ROLLE中值定理 LAGRANGE中值定理 CAUCHY中值定理 

分 类 号：O175[理学—数学]