> For the complete documentation index, see [llms.txt](https://nothinglin.gitbook.io/kao-yan-bi-ji/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://nothinglin.gitbook.io/kao-yan-bi-ji/san-wei-fen-zhong-zhi-ding-li-ji-dao-shu-ying-yong.md).

# 三、微分中值定理及导数应用

## **知识概念**

* [ ] **微分中值定理（罗尔中值定理）**
* [ ] **拉格朗日中值定理**
* [ ] **泰勒定理**
* [ ] **柯西中值定理**
* [ ] **洛必达法则**
* [ ] **函数单调性的判断**
* [ ] **函数的极限值**
* [ ] **函数图形的凹凸性**
* [ ] **拐点及渐近线**
* [ ] **函数图形的描绘**
* [ ] **函数的最大值和最小值**
* [ ] **曲率的概念**
* [ ] **曲率圆与曲率半径**

## 常考题型与典型例题

### 五、中值定理证明题

* [x] **例18**
* [x] **例19**
* [x] **例20**
* [ ] **例21**