已知函数
,
.
(1)设
,当a=3,b=5时,求F(x)的单调区间;
(2)若g(x)有两个不同的零点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34cfceeb19a4bd2309eef88a406365fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347384fba321847962c4366f61a214b3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09884252e52e1c09b1967617eddc0cc5.png)
(2)若g(x)有两个不同的零点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fac30b9781ec595375e06e235c870e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f40abaca226f74d66d683535114cceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e3090a098e891e1883168719f7ad05.png)
更新时间:2022-11-30 18:54:07
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