导数定义式在求极限中的应用  

On the Application of Derivative Definition Formula in Solving Limit

作　　者：牛利利[1] 

机构地区：[1]广西大学行健文理学院,广西南宁530005

出　　处：《钦州学院学报》2015年第2期38-40,共3页Journal of Qinzhou University

基　　金：广西高等教育教学改革工程项目:探索线性代数初等变换法的教学新模式(2013JGB430);广西研究生教育创新计划资助项目:直觉模糊数的得分函数及在多属性决策中的应用(YCSZ2012011)

摘　　要：微分学是微积分的重要组成部分,导数作为微分学的基本概念应用广泛,而且导数的定义在求极限方面有着非常重要的地位。对导数定义式进行深入剖析,可提出一种求解具有导数定义式特征题型的有效方法,从理论上说明该方法的可行性。并可通过实例对比,验证该方法的有效性。Differential is an important part of Calculus. Being a basic concept of Differential, the Derivative is of wide appli- cation. Its definition has a very important position in seeking the limits. This paper analyzes the Derivative definition formula, proposes an effective method to solve the questions with Derivative definition characteristics, and further proves the feasibility of this method theoretically. Finally, through examples comparison, the validity of the method is being verified.

关 键 词：微积分 导数 极限 

分 类 号：O172[理学—数学]