From f705e8ee1f744ede26172bbfda2d4a4ec8b43b65 Mon Sep 17 00:00:00 2001
From: Didnelpsun <48906416+Didnelpsun@users.noreply.github.com>
Date: Tue, 16 Feb 2021 15:57:34 +0800
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---
 .../continuity-and-discontinuity.tex                 |  2 ++
 .../derivative-and-differentiate.tex                 | 12 ++++++++++++
 2 files changed, 14 insertions(+)

diff --git a/advanced-math/exercise/2-continuity-and-discontinuity/continuity-and-discontinuity.tex b/advanced-math/exercise/2-continuity-and-discontinuity/continuity-and-discontinuity.tex
index 2b66829..d5259e5 100644
--- a/advanced-math/exercise/2-continuity-and-discontinuity/continuity-and-discontinuity.tex
+++ b/advanced-math/exercise/2-continuity-and-discontinuity/continuity-and-discontinuity.tex
@@ -20,6 +20,8 @@
 % 因为所以
 \usepackage{amsmath}
 % 数学公式
+\usepackage[colorlinks,linkcolor=black,urlcolor=blue]{hyperref}
+% 超链接
 \author{Didnelpsun}
 \title{连续与间断}
 \date{}
diff --git a/advanced-math/exercise/3-derivative-and-differentiate/derivative-and-differentiate.tex b/advanced-math/exercise/3-derivative-and-differentiate/derivative-and-differentiate.tex
index 101a382..23d3417 100644
--- a/advanced-math/exercise/3-derivative-and-differentiate/derivative-and-differentiate.tex
+++ b/advanced-math/exercise/3-derivative-and-differentiate/derivative-and-differentiate.tex
@@ -20,6 +20,8 @@
 % 因为所以
 \usepackage{amsmath}
 % 数学公式
+\usepackage[colorlinks,linkcolor=black,urlcolor=blue]{hyperref}
+% 超链接
 \author{Didnelpsun}
 \title{导数与微分}
 \date{}
@@ -148,6 +150,10 @@ $\therefore\alpha-2>0$，从而$\alpha>2$。
 
 题目会给出对应的导数以及相关条件，并要求求一个极限，这个极限式子并不是个随机的式子，而一个是与导数定义相关的极限式子，所需要的就是将极限式子转换为导数定义的相关式子。
 
+\subsubsection{导数定义式子}
+
+有时极限式子可以直接转换为导数定义式子，稍微变换就可以代入导数。
+
 \textbf{例题：}设$f(x)$是以3为周期的可导函数，且是偶函数，$f'(-2)=-1$，求$\lim\limits_{h\to 0}\dfrac{h}{f(5-2\sin h)-f(5)}$。\medskip
 
 根据导数与函数的基本性质，原函数为偶函数，则其导函数为奇函数，所以$f'(5)=f'(2)=-f'(-2)=1$。
@@ -162,6 +168,12 @@ $=-2f'(5)=-2\times 1=-2$
 
 $\therefore\lim\limits_{h\to 0}\dfrac{h}{f(5-2\sin h)-f(5)}=-\dfrac{1}{2}$。
 
+\subsubsection{定义近似式子}
+
+有时候极限式子不为导数定义的近似式子，这时候就需要先根据求极限的计算方式简化目标极限式子。
+
+
+
 \section{高阶导数}
 
 \subsection{导数存在性}