1 . 解下列导数问题:
(1)已知
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad19d1ad05a31122ad5163011c89572.png)
(2)已知
,求
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0acc9987e30ef1f6a489e1b692ae93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad19d1ad05a31122ad5163011c89572.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a53fcfccfb394706adc845422680d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
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2 . 设函数![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/51b56d1d86304d438c68f91a49b85ce6.png)
(1)当
时,求函数
的单调区间;
(2)令
<
≤
,其图像上任意一点P
处切线的斜率
≤
恒成立,求实数
的取值范围;
(3)当
时,方程
在区间
内有唯一实数解,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/51b56d1d86304d438c68f91a49b85ce6.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/d717fab3b42d4049b51d92c1c003158e.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/b9a2f1b6283445708240599def84c88f.png)
(2)令
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/d755143372e34a78a8caed86dfd84b2a.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/3a44759b56374a519ee807305fb7bdbc.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/c5c3a2c41b13432a80367eecbad121e3.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/6d126caa82204c0c916d3beadf6fc4be.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/7c37776fd4bd48ab89cce548bf4adc71.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/a4c183cb7db448039f18d1f5fc0c3d43.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/aecff6edef784172bbeede2648d39bc7.png)
(3)当
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/c15c16c9502b46ed9fb122bd6f03c772.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/bdf6bf14eeda4df6ab73822745425809.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/8a0e693605384aab92197dd854bfea7d.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/910abe6500dd41649206eaaa4220a258.png)
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3 . 设函数![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/7a8e64fe4469473ea137f950f55dec7e.png)
(1)当
时,求函数
的单调区间;
(2)设
对任意
,总有
成立,求实数a的取值范围;
(3)当
时,方程
在区间
内有唯一实数解,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/7a8e64fe4469473ea137f950f55dec7e.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/3d40d68aa9a8485f8a54b659c86ebd7d.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/4824847374664fb6b6572d994c995c33.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624fac9fb9981309c6a5e2d07686a120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39718b353b859a583968cce0434ff05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170182654b77dc0e6d5e24180a5dc9d3.png)
(3)当
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/d55c735ec68b47898a88e8bb0b60fd66.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/11fff3dd5818445a9cf60d8ced5e8bdf.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/8bbb4c0d5f7748838220b8d550963541.png)
![](https://img.xkw.com/dksih/QBM/2015/10/20/1572261423718400/1572261429755904/STEM/5277a7cb03584598b895c85bd027ff19.png)
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4 . 设函数![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/51b56d1d86304d438c68f91a49b85ce6.png)
(1)当
时,求函数
的单调区间;
(2)令
<
≤
,其图像上任意一点P
处切线的斜率
≤
恒成立,求实数
的取值范围;
(3)当
时,方程
在区间
内有唯一实数解,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/51b56d1d86304d438c68f91a49b85ce6.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/d717fab3b42d4049b51d92c1c003158e.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/b9a2f1b6283445708240599def84c88f.png)
(2)令
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/d755143372e34a78a8caed86dfd84b2a.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/3a44759b56374a519ee807305fb7bdbc.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/c5c3a2c41b13432a80367eecbad121e3.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/6d126caa82204c0c916d3beadf6fc4be.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/7c37776fd4bd48ab89cce548bf4adc71.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/a4c183cb7db448039f18d1f5fc0c3d43.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/aecff6edef784172bbeede2648d39bc7.png)
(3)当
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/c15c16c9502b46ed9fb122bd6f03c772.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/bdf6bf14eeda4df6ab73822745425809.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/8a0e693605384aab92197dd854bfea7d.png)
![](https://img.xkw.com/dksih/QBM/2015/9/16/1572232708530176/1572232714395648/STEM/910abe6500dd41649206eaaa4220a258.png)
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