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1、变化率与导数、导数的计算适用学科数学适用年级高三适用区域新课标课时时长（分钟）60 知 识 点导数的概念、导数的几何意义、几个常用函数的导数、导数公式及运算法则简单复合函数的导数、曲线的切线方程与导数教学目标1.了解导数概念的实际背景2.理解导数的几何意义3.能根据导数定义求函数yc(c 为常数)，yx，yx2，yx3，y1x的导数4.能利用基本初等函数的导数公式和导数的四则运算法则求简单函数的导数.教学重点导数公式及运算法则简单复合函数的导数曲线的切线方程与导数教学难点灵活应用导数的意义、运算法则、曲线的切线方程与导数的关系来解决一些相关问题教学过程一、课堂导入1从近几年的高考试题来看，导数
2、的几何意义是高考的热点2题型既有选择题、填空题，又有解答题，难度中档左右3命题切入点：在考查导数的概念及其运算的基础上，又注重考查与解析几何结合的相关知识文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10
3、HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 Z
4、X5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编
5、码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K1
6、0 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6
7、 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文
8、档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6二、复习预习导数的概念、几何意义及其运算是运用导数解决问题以及导数在实际生活中的应用的基础，虽然相关知识点的考
9、查为 A,B 级，但是在许多综合题目中都会涉及本节知识点，需要学生在运用本节知识点理解题意的基础上进一步的运用导数。对于函数求导，一般要遵循先化简，再求导的基本原则，求导时，不但要重视求导法则的应用，而且要特别注意求导法则对求导的作用，在实施化简时，要注意变换的等价性，避免不必要的失误 对于某些不满足求导法则条件的函数，可适当进行恒等变形，步步为营，使解决问题水到渠成.文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX
10、5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码
11、:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10
12、 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6
13、ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档
14、编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K
15、10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E
16、6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6三、知识讲解考点 1 导数的概念函数)(xfy在0 xx处的导数一般地，函数)(xfy在0 xx处的瞬时变化率是xxfxxfxyxx)()(limlim0000，称其为函数)(xfy在0 xx处的导数，记作)(0 xf文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8
17、K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7
18、E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V
19、6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4
20、X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4
21、R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N
22、9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5
23、U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6考点 2 导函数当x变化时，)(xf称为)(xf的导函数，则xxfxxfyxfx)()(lim)(000特别提醒：注意)(xf与)(0 xf的区别，)(xf是一个函数，)(0 xf是常数，)(0 xf是函数)(xf在点0 x处的函数值文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6
24、 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文
25、档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8
26、K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7
27、E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V
28、6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4
29、X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4
30、R7E6 ZX5A1I1N9V6考点 3 导数的几何意义函数)(xfy在0 xx处的导数的几何意义，就是曲线)(xfy在点),(00yxP处的切线的斜率，过点P 的切线方程为：)(000 xxxfyy特别提醒：求函数)(xfy在点),(00yxP处的切线方程与求函数)(xfy过点),(00yxP的切线方程意义不同，前者切线有且只有一条，且方程为)(000 xxxfyy，后者可能不只一条文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V
31、4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1
32、N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X
33、5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C
34、8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1
35、I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU
36、3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP
37、8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6考点 4 几种常见函数的导数原函数导函数f(x)c(c 为常数)f(x)0 f(x)xn(nQ*)f(x)nxn1f(x)sin x f(x)cos_xf(x)cos x f(x)sin_xf(x)axf(x)axln_af(x)exf(x)exf(x)logax f(x)1xln af(x)ln x f(x)1x文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9
38、V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U
39、4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V
40、4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1
41、N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X
42、5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C
43、8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1
44、I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6考点 5 导数运算法则(1)()()()(xgxfxgxf；(2)()()()()()(xgxfxgxfxgxf；(3)()()()()()()(2xgxgxfxgxfxgxf，)0)(xg文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1
45、I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU
46、3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP
47、8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5
48、A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:
49、CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10
50、HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 ZX5A1I1N9V6文档编码:CU3X5U4X8K10 HP8C8V4R7E6 Z