From 42e962cdfcb2e5760d5e9009a54ef48bd0e8ab56 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 10:08:22 +0800
Subject: [PATCH] vault backup: 2026-01-17 10:08:22

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

diff --git a/编写小组/讲义/微分中值定理（解析版）.md b/编写小组/讲义/微分中值定理（解析版）.md
index d666c1b..ce442ce 100644
--- a/编写小组/讲义/微分中值定理（解析版）.md
+++ b/编写小组/讲义/微分中值定理（解析版）.md
@@ -360,7 +360,7 @@ $$f'(\xi) = \frac{a+b}{2\eta} f'(\eta)$$
 
 >[!example] 例3  
 设 $0 < a < b$，证明存在 $\xi \in (a, b)$，使得：
-$$f(b)-f(a) = \frac{3\xi^2}{a^2+ab+b^2} f'(\xi)(b-a)$$
+$$f(b) - f(a) = \frac{f'(\xi)}{3\xi^2} \cdot (b - a)(a^2 + ab + b^2)$$
 
 **解析**：  
 将等式变形为：