1 . 求下列函数在给定点处的导数值:
(1)
,
,
;
(2)
,
,
;
(3)
,
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232760b05ef4419f6570835f4b41c4da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c63e1c64c42b7f3b7fdc396d4756cab.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbcec976e503740c9ef38b86eadb5d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac632eeaf0d74d0452c45ffdebcf617.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
您最近一年使用:0次
2 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09af3c838550e017f5083fee45347e56.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c2a97d10e0b20ae55ed215f8b48abb.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77714beddd6d1b286b99fddb466ca98c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15ae47506567fb35a66263b2c7fe1f31.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425ca86638587effbd5089433e8484ea.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61beed5be66af41d3d02bffb0b975981.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1444c2a5a364e71f3f85b80fc89bd2c.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e47b50e62157d0d531533a92f313d22.png)
您最近一年使用:0次
3 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a404245b8f5fcb9940c6470e772434c6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4985757a98d20b4a4822fb5355901d89.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320d1aef6f4641199f8d507b98e52c62.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afac4877c2d20fca38dd2f67a6a7f793.png)
您最近一年使用:0次
4 . 已知
,
,
,
,求下列函数在
处的导数值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/674566b1ecf65a3bda5fb387b101aace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f21bd51a75f65c332638c87c168793eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e3b32797b1dfb45632fd23154cc65d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138472ac217ce3f838b18ce39b39b869.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f08e81c7ce3b92f7973daeb724cfc7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6a0f33f920082911b34fdee2e45536.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d19de9707f80fe0f6e6aad2406d31a.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d48a6d50e927d1bf92b83a0ba67892c9.png)
您最近一年使用:0次
5 . 根据定义,结合下表导数公式表求函数
的导数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e082469bed57b81c74c9c0f00def2c.png)
导数公式表
函数 | 导数 | 函数 | 导数 |
| |||
| |||
| |||
|
您最近一年使用:0次
6 . 利用二项式定理,根据定义求函数
的导数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9258e80841708b48b413ff467349ea.png)
您最近一年使用:0次
7 . 求曲线
的一条与直线
平行的切线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
您最近一年使用:0次
8 . 分别求出函数
与
的导数,并画出导数的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88621b319f851a0b59e98f903efc1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca436d3bffd6be3f79f56dcccac56894.png)
您最近一年使用:0次
9 . 求函数
的导数
,并求
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5998bc3d6c9721bf695323668d63a9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b3ec7ada52f4850719a970aeb59ca16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8848d0635ebf4ab6610370f4e579ccbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b369cad9211d442b295df948e3e5c8b2.png)
您最近一年使用:0次
10 . 求函数
的导数
,并求
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a83625ce4a47630df0436cb0b87a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680c514271ab4a9c8424873bd5e2b154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8848d0635ebf4ab6610370f4e579ccbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612619670b26353254ab1219fc0a66a7.png)
您最近一年使用:0次