证明不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10bdc171a254c744c8cd9c679cc67f.png)
21-22高二·全国·课后作业 查看更多[2]
更新时间:2022-04-16 13:45:17
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【知识点】 利用导数证明不等式
相似题推荐
解答题-问答题
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适中
(0.65)
【推荐1】已知函数f(x)满足xf(x)﹣xlnx﹣2a=0(a∈R)恒成立.
(1)分析函数f(x)的单调性;
(2)若g(x)=
+
,证明:当a≥
时,f(x)>g(x).
(1)分析函数f(x)的单调性;
(2)若g(x)=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24885e8261b6a45a79220d6a6d940104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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解答题-问答题
|
适中
(0.65)
【推荐2】设函数
.
(1)求曲线
在点
处的切线方程;
(2)证明:当
,且
时,
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf463293c419f48402a7594a8ed7de54.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0070c5cbbb4d49fe5a089d6ef11031.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b4d4d92c541fde775b8e2d1162f670.png)
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