题目内容
(本题满分12分)
求下列函数的导数
(1)![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240015154671137.png)
(2)![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515498713.png)
求下列函数的导数
(1)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240015154671137.png)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515498713.png)
(1)
=
;(2)
=
。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515513367.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240015155291184.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515513367.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515560598.png)
试题分析:(1)y=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515576720.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515607195.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515513367.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240015156381198.png)
(2)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240015156541141.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515607195.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515513367.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824001515560598.png)
点评:求复合函数的导数的方法步骤:(1)分析清楚复合函数的复合关系,选好中间变量;(2)运用复合函数的求导法则求复合函数的导数,注意分清每次是哪个变量对哪个变量求导数;(3)根据基本函数的导数公式及导数的运算法则,求出各函数的导数,并把中间变量换成自变量的函数。
![](http://thumb.zyjl.cn/images/loading.gif)
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