From 50bdb2244e9d01abb7cfa527734c47ecec8703a2 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E5=88=98=E6=9F=AF=E5=A6=A4?= <2503393720@qq.com>
Date: Sat, 17 Jan 2026 10:17:18 +0800
Subject: [PATCH] vault backup: 2026-01-17 10:17:18

---
 编写小组/讲义/微分中值定理.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/编写小组/讲义/微分中值定理.md b/编写小组/讲义/微分中值定理.md
index 3493a06..8bba791 100644
--- a/编写小组/讲义/微分中值定理.md
+++ b/编写小组/讲义/微分中值定理.md
@@ -421,7 +421,7 @@ $$f'(\xi) = \frac{a+b}{2\eta} f'(\eta)$$
 
 >[!example] 例3  
 设 $0 < a < b$，证明存在 $\xi \in (a, b)$，使得：
-$$f(b)-f(a) = \frac{3\xi^2}{a^2+ab+b^2} f'(\xi)(b-a)$$
+$$f(b) - f(a) = \frac{f'(\xi)}{3\xi^2} \cdot (b - a)(a^2 + ab + b^2)$$
 
 ```text