已知函数
.
(1)若
恒成立,试确定实数
的取值范围;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c80673df9fc4ceaccec5344c9e2f3a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9da98e415cc14fc6e03561a7a72d95b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3616f65644309838e78029db8d37ad9a.png)
更新时间:2016-12-04 20:15:42
|
【知识点】 导数在函数中的其他应用
相似题推荐
解答题-证明题
|
困难
(0.15)
解题方法
【推荐1】已知函数
,
.
(1)求
的最小值;
(2)证明:
,
,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b540585c341c4dae0bec166ac6259a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517daac9aa260866798457d3018c64bd.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c634b371cc71710609ae94d6beb6760d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e939e61829152b453acdd711f6ca52c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5482ea8d36e0e282a8487f6982828a94.png)
您最近一年使用:0次
解答题-问答题
|
困难
(0.15)
【推荐2】设
(e为自然对数的底数),
.
(1)记
.
(i)讨论函数
单调性;
(ii)证明当
时,
恒成立
(2)令
,设函数G(x)有两个零点,求参数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af71cb86a080ab5794e75674a31b92ea.png)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1192b7858bda8d2912d05e0cab60a115.png)
(i)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(ii)证明当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f873c39eb43dc445cc29f5a2454fda.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343baff1a0f3a1aaf9d6390ec229bd33.png)
您最近一年使用:0次