已知函数
(e是自然对数的底数,
).
(1)设
的导函数为
,试讨论
的单调性;
(2)当
时,若
是
的极大值点,判断并证明
与
大小关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fe84ecdcafb66c2e3a4dd702503729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33770cd4511e0f50f2d959ffd913e97f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03e483e8a37a8e0e1fb327f99ad93ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517e980630dceb46f1d3e4d9d07f2610.png)
更新时间:2022-05-30 14:58:45
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【推荐1】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b23a6a127827a788933fcf7bcf8b21a.png)
(1)证明:
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适中
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【推荐2】已知函数
.
(1)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b96d95289e0c63e04bd85e2759af423e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ac431915a2675173dfea3ccf652a4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34d4220a833113c55bfdad42aa0f6c0e.png)
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名校
【推荐3】已知函数
.
(1)讨论函数
的单调性;
(2)当
时,若函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/352c81d53b70448066d371fd70474ef1.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce6c68549ee638282e61171be993a45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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