3">mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">
第Calibri">1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">章函數極限連續
3">mso-bidi-font-weight: normal">Calibri">1.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數
3">mso-bidi-font-weight: normal">Calibri">1.1.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的概念
3">mso-bidi-font-weight: normal">Calibri">1.1.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的幾種特性
3">mso-bidi-font-weight: normal">Calibri">1.1.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">反函數
3">mso-bidi-font-weight: normal">Calibri">1.1.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">初等函數
3">mso-bidi-font-weight: normal">Calibri">1.1.5mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">建立函數關繫式舉例
3">mso-bidi-font-weight: normal">Calibri">1.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">極限的概念
3">mso-bidi-font-weight: normal">Calibri">1.2.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">數列及數列的極限
3">mso-bidi-font-weight: normal">Calibri">1.2.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的極限
3">mso-bidi-font-weight: normal">Calibri">1.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">無窮小量與無窮大量
3">mso-bidi-font-weight: normal">Calibri">1.3.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">無窮小量
3">mso-bidi-font-weight: normal">Calibri">1.3.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">無窮大量
3">mso-bidi-font-weight: normal">Calibri">1.3.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">無窮小量的比較
3">mso-bidi-font-weight: normal">Calibri">1.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">極限的四則運算法則
3">mso-bidi-font-weight: normal">Calibri">1.5mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">兩個重要極限
3">mso-bidi-font-weight: normal">Calibri">1.5.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">極限存在的準則
3">mso-bidi-font-weight: normal">Calibri">1.5.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">兩個重要極限
3">mso-bidi-font-weight: normal">Calibri">1.6mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的連續性
3">mso-bidi-font-weight: normal">Calibri">1.6.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數連續性的概念
3">mso-bidi-font-weight: normal">Calibri">1.6.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的間斷點
3">mso-bidi-font-weight: normal">Calibri">1.6.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">初等函數的連續性
3">mso-bidi-font-weight: normal">Calibri">1.6.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">閉區間上連續函數的性質
mso-bidi-font-weight: normal">#000000">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">
復習題
3">mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">
第Calibri">2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">章導數與微分
3">mso-bidi-font-weight: normal">Calibri">2.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">導數的概念
3">mso-bidi-font-weight: normal">Calibri">2.1.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">引例
3">mso-bidi-font-weight: normal">Calibri">2.1.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">導數的概念
3">mso-bidi-font-weight: normal">Calibri">2.1.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">求導舉例
3">mso-bidi-font-weight: normal">Calibri">2.1.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">導數的幾何意義
3">mso-bidi-font-weight: normal">Calibri">2.1.5mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">可導與連續的關繫
3">mso-bidi-font-weight: normal">Calibri">2.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的求導法則
3">mso-bidi-font-weight: normal">Calibri">2.2.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的和、差、積、商的求導法則
3">mso-bidi-font-weight: normal">Calibri">2.2.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">反函數的求導法則
3">mso-bidi-font-weight: normal">Calibri">2.2.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">復合函數的求導法則
3">mso-bidi-font-weight: normal">Calibri">2.2.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">初等函數的導數
3">mso-bidi-font-weight: normal">Calibri">2.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">高階導數
3">mso-bidi-font-weight: normal">Calibri">2.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">隱函數及參數方程所確定的函數的求導法相關變化率
3">mso-bidi-font-weight: normal">Calibri">2.4.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">隱函數的求導法
3">mso-bidi-font-weight: normal">Calibri">2.4.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">對數求導法
3">mso-bidi-font-weight: normal">Calibri">2.4.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">由參數方程所確定的函數的求導法
3">mso-bidi-font-weight: normal">Calibri">2.4.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">相關變化率
3">mso-bidi-font-weight: normal">Calibri">2.5mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">函數的微分
3">mso-bidi-font-weight: normal">Calibri">2.5.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">微分的定義
3">mso-bidi-font-weight: normal">Calibri">2.5.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">微分的幾何意義
3">mso-bidi-font-weight: normal">Calibri">2.5.3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">基本初等函數的微分公式和微分運算法則
3">mso-bidi-font-weight: normal">Calibri">2.5.4mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">微分在近似計算中的應用
mso-bidi-font-weight: normal">#000000">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">
復習題
3">mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">
第Calibri">3mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">章導數的應用
3">mso-bidi-font-weight: normal">Calibri">3.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">微分中值定理
3">mso-bidi-font-weight: normal">Calibri">3.1.1mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">羅爾定理
3">mso-bidi-font-weight: normal">Calibri">3.1.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">拉格朗日中值定理
3">mso-bidi-font-weight: normal">Calibri">3.2mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">洛必達法則
3">mso-bidi-font-weight: normal">Calibri">3.2.100mso-bidi-font-weight: normal">FONT-FAMILY: 宋體; mso-ascii-font-family: Calibri; mso-ascii-theme-font: minor-latin; mso-fareast-font-family: 宋體; mso-fareast-theme-font: minor-fareast; mso-hansi-font-family: Calibri; mso-hansi-theme-font: minor-latin">型未定式