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1、资料收集于网络,如有侵权请联系网站删除word 可编辑高数 高数 重点本章公式:两个重要极限:常用的 8 个等价无穷小公式:当 x0 时,sinxx 资料收集于网络,如有侵权请联系网站删除word 可编辑tanxx arcsinxx arctanxx 1-cosx1/2*(x2)(ex)-1x ln(1+x)x(1+x)1/n-1(1/n)*x 二.导数与微分熟悉函数的可导性与连续性的关系求高阶导数会运用两边同取对数隐函数的显化会求由参数方程确定的函数的导数文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G1
2、0G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A
3、10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K
4、6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文
5、档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I
6、8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H
7、9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 H
8、T3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1资料收集于网络,如有侵权请联系网站删除word 可编辑三.微分中值定理与导数的应用:洛必达法则:利用洛必达法则求未
9、定式的极限是微分学中的重点之一,在解题中应注意:在着手求极限以前,首先要检查是否满足或型,否则滥用洛必达法则会出错.当不存在时(不包括情形),就不能用洛必达法则,这时称洛必达法则失效,应从另外途径求极限.洛必达法则可连续多次使用,直到求出极限为止.洛必达法则是求未定式极限的有效工具,但是如果仅用洛必达法则,往往计算会十分繁琐,因此一定要与其他方法相结合,比如及时将非零极限的乘积因子分离出来以简化计算、乘积因子用等价量替换等等.文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O
10、4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7
11、ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G1
12、0G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A
13、10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K
14、6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文
15、档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I
16、8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1资料收集于网络,如有侵权请联系网站删除word 可编辑曲线的凹凸性与拐点:注意:首先看定义域然后判断函数的单调区间求极值和最值利用公式判断在指定区
17、间内的凹凸性或者用函数的二阶导数判断(注意二阶导数的符号)四.不定积分:(要求:将例题重新做一遍)对原函数的理解原函数与不定积分1 基本积分表基本积分表(共24 个基本积分公式)不定积分的性质2 第一类换元法(凑微分法)2 第二类换元法(三角代换无理代换倒代换)3 分部积分法f(x)中含有可考虑用代换文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A
18、10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K
19、6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文
20、档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I
21、8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H
22、9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 H
23、T3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1文档编码:CC6K6S10M10A10 HT3G10G8H9J7 ZF6I8P4O4Y1
限制150内