From c94e58a5ac86c5d65adc41a5ce0ff869ca6dd037 Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?=E9=BE=99=E6=89=93=E9=87=8E?= <18128966990@163.com>
Date: Thu, 18 Jul 2024 17:54:17 +0800
Subject: [PATCH] =?UTF-8?q?Update=202024-03-01-=E6=95=B0=E5=AD=A6=E5=AD=A6?=
 =?UTF-8?q?=E4=B9=A0.md?=
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---
 ...60\345\255\246\345\255\246\344\271\240.md" | 28 +++++++++++++++++++
 1 file changed, 28 insertions(+)

diff --git "a/_posts/2024-03-01-\346\225\260\345\255\246\345\255\246\344\271\240.md" "b/_posts/2024-03-01-\346\225\260\345\255\246\345\255\246\344\271\240.md"
index 9cbba06..bb63daa 100644
--- "a/_posts/2024-03-01-\346\225\260\345\255\246\345\255\246\344\271\240.md"
+++ "b/_posts/2024-03-01-\346\225\260\345\255\246\345\255\246\344\271\240.md"
@@ -311,9 +311,37 @@ dx = 1/10, dy = 1/48 dx = 1/480
 
 ---
 
+### 中值定理
+
+费马定理
+
+f在极值点x0 ∈ (a, b)处可导 => f'(x0) = 0
+
+罗尔中值定理
+
+f在[a, b]连续，(a, b)可导
+
+f(a) = f(b) => $\exist \zeta \in $(a,b), f'($\zeta$) = 0
+
+拉格朗日中值定理
+
+f在[a, b]连续，(a, b)可导
+
+=> $\exist \zeta \in (a, b), s.t. f'(\zeta) = \frac {f(b) - f(a)} {b - a}$ 
+
+科西中值定理
+
+f，g在[a, b]连续，(a, b)可导，g'(x) != 0, $\forall x \in (a,b)$ 
+
+=> $\exist \zeta \in (a,b), s.t. \frac {f(b) - f(a)} {g(b) - g(a)} = \frac {f'(\zeta)} {g'(\zeta)}$ 
+
+---
+
 ### $G(x) = \int g(x)dx $
 
+积分的唯一性
 
+if F' = G', F(x) = G(x) + c