文档介绍：本科生毕业论文
探讨导数在函数单调性中的应用
探讨导数在函数单调性中的应用
摘要函数是贯穿于中学数学的一条主线,它不仅是研究导数的一个重要载体,而且涉及高中数学诸多的数学思想和方法,,也是研究函数图象增、,它在函数单调性中的应用极好的解决了用函数单调性的定义判断、证明函数的单调性运算量大,过程繁琐,,应用了数形结合、导数法,定义法等数学思想方法,通过归纳、,第一章介绍了函数及其单调性的相关定义及概念,第二章介绍了导数的基础知识,第三章主要介绍了导数在函数单调性以及极值中的应用,主要以例题的形式进行归纳整理,第四章简单介绍了应用导数求解函数单调性需要注意的几个方面,其中论文核心内容为第三章导数在函数单调性以及极值中的应用.
关键词函数导数函数单调性证明
Abstract Function is a thread that runs through the middle school mathematics, it is not only an important carrier of derivative, and it is relates many thought to the high school mathematics method of mathematics, it is the connection part of elementary mathematics and higher monotonicity of the function is one of the important properties of functions, the main method of image enhancement, but also a function reduction derivation function has many advantages, It is excellent in function in the solution of the judgment, with the monotonicity of the function to prove putation function, complicated process many defects such as deformation, solving skills thesis by four chapters written application, bination of number and shape, derivative method, the definition method of mathematical thought and method, through induction, collation clearly presented derivation function thesis mainly consists of four chapters, the first chapter introduces the function and its monotonicity, the second chapter is the basic knowledge of derivative, the third chapter is the application of derivative in the function of the main contents of the third chapter, application of derivative function monotonicity.
Keywords function derivative of function monotonicity proof
目录
1 引言 1
2 函数及其单调性 2
函数的定义 2
2
2
3
3 导数的基础知识 6
导数的定义 6
6
导数的定义 6
8
8
几种常见函数的导数 10
4 导数在函数单调性以及极值中的应用 13
导数与函数