1 . 求下列函数的导数.
(1)①
;②
;③
;
(2)①
;②
;
(3)①
;②
;③
.
(1)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884e534313d810d5fc36b95f9fcaa08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e769299acbcc266a35ddd6848452f14.png)
(2)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11b587eab7ca8cd4ec6d3dd1c8b4585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10408555b8279a4e9621d077acf7a97.png)
(3)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125bea9ef0d4a26ac65cacf66536b388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1454530ed83e70e2831ec0fd8d9d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e841547b8732a15323ab74fb109f360.png)
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2 . 求下列函数的导数.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56ec2258720b77cd82dc6510acc563b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f099bcfb5ad7f22881c1e32312ac63.png)
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3 . 求值(求导):
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd8a8e55ac915affd9e02466f5784f76.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd552fb9fc733347a1128dc1d7c43f1b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b41e19e738887a45b391b5510a5494.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75e39b3afa435e2e9a5547f7df37a642.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c17e914cdc91e69bb0bd3abc3c50573.png)
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2023高二上·江苏·专题练习
4 . 已知直线
与抛物线
相交于
、
两点,
是坐标原点,试求与直线
平行的抛物线的切线方程,并在弧
上求一点
,使
的面积最大.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9385f98500602c954d1ba4e42d9ae30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c6b8d95b188074ae972314973d6b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
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23-24高二上·江苏·课前预习
5 . 求下列函数的最值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46aa11e277aa28dda397af5ba51aa708.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04a89b95587e5a4dc220b9d462f629c.png)
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23-24高二上·江苏·课前预习
解题方法
6 . 求下列函数的单调区间.
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae11a628b007f14d522bd718daf9ffa7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962b99d87f5fa8444465646c5073cf2e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15259db3816b8be76fa9670a378ba3f6.png)
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23-24高二上·江苏·课前预习
7 . 求下列函数的导数.
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fa7e9b06586c44d92eb5fb49851365.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f36e503788bc66949e75b6f44b7fed7.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed38b183c2c837a88de38f1b1a35c27.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c7d98d8c339c493788cd29744fabcb.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf80e068441a46eb8ba50981d6c6768.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0121597da92ff6edd32bb9c76192db.png)
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7卷引用:第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)5.2.1+5.2.2+5.2.3导数运算 第一课 解透课本内容(已下线)2.5简单复合函数的求导法则(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)2.5 简单复合函数的求导法则4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)5.2导数的运算——课后作业(巩固版)(已下线)模块三专题2 专题3 导数的几何意义与运算【高二下人教B】(已下线)模块三 专题5 导数的几何意义与运算【高二下北师大版】
23-24高二上·江苏·课前预习
8 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67736addb76d8ae8a0d05990921d63db.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44c8cfdd9cf18c97266eadeea05c696.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9bc1bc394eb8cada17f6ced001223d.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82b29ac6916f543bffc706bd8c6f335.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5a81c24d91be87297455d515f00b66.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1fdb83c5f9991113aa6825c4d3ce33.png)
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4卷引用:第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)2.5 简单复合函数的求导法则4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)模块一 专题4 【讲】《导数的概念、运算及其几何意义》(人教B2019版)(已下线)模块一 专题5《导数的概念、运算及其几何意义》【讲】(高二北师大版)
23-24高二上·江苏·课前预习
9 . 求下列函数的导数:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df37d883438447cb8722b87f02c9613d.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e280fa1e5f82fe74cc0a243d1fa9d139.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e787f8d2cf652f22f76126c8af38f21f.png)
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480e504c0b3581a8d0c4bcd1546230a4.png)
(5)
;
(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df37d883438447cb8722b87f02c9613d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e280fa1e5f82fe74cc0a243d1fa9d139.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e787f8d2cf652f22f76126c8af38f21f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480e504c0b3581a8d0c4bcd1546230a4.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd5f9ba520793dc02a272acffce05afb.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7ac87cbc9c862363b49c464f944b60.png)
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23-24高二上·江苏·课前预习
名校
10 . 求下列函数的导函数.
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1541d6ca37ce15f0b63b16a4b00573c2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6b95762e409c1f256579274e574a44.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e82da9a5623a4275205d38bb0276957.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b010707953b28c499d8b4a15d06cd29.png)
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5卷引用:第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)2.3导数的计算(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)天津经济技术开发区第一中学2023-2024学年高二下学期3月练习数学试题(已下线)5.2导数的运算——课后作业(巩固版)(已下线)5.2导数的基本运算