求函数
的导函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cefde7d7a11c64b53fb85a1a1827b3b.png)
2023高三·全国·专题练习 查看更多[1]
(已下线)第33练复合求导
更新时间:2023-03-27 21:22:43
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【推荐1】求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec9258e80841708b48b413ff467349ea.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c38dcf3e75a8a93a7e621d3a47bb222.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff7071d5bd0a9c62c880700cb16826df.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602d3afc005e22a3d4d1eb8f286b5afc.png)
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【推荐2】(1)求
|的解集.
(2)求函数
在区间(0,1)上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a8993a1764756d94ee81b710df6484.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f435b348ef0c4e5d0715758790f89830.png)
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【推荐1】某种动物的体温
(单位:
)与太阳落山后经过的时间
(单位:
)满足函数关系
.
(1)当
时,求该动物体温的瞬时变化率;
(2)在哪一时刻该动物体温的瞬时变化率是
?(结果精确到
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b077f397f54943d2af4334c7bde3b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e008ee8b0dc593ce21d8d4c87afef1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd33a7f143c8f054f20725614c8d8a77.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a495c197fcbacb8c109aa0060525a371.png)
(2)在哪一时刻该动物体温的瞬时变化率是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4597484109aaf97a8a811d11376e84e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524ea08c3afd5ef0538573381ea0f58a.png)
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【推荐2】对任意给定的实数
,都有
.求值:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c61abea037a740498b0096a92c6a395.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b07d62c4025696b4c648db0c3dd67bf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0134357300be852eeca554c17b33f5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352911c004a38e953641f2fca3f99079.png)
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【推荐1】设函数
,
,
的导函数为
,若
为奇函数,且
的最大值为
.求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bcd3003dac998e0b567eb83a4538363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207748f341173674357da1a62f41e0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef098c892aa76acff62e10a0a01a5ea0.png)
(1)求
的导数.
(2)求曲线
在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef098c892aa76acff62e10a0a01a5ea0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29c5c266a6d834a244c1f50c8f9848c.png)
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