Part C. 导数的应用 (Applications of the Derivative)

(请先至讲义下载区下载讲义，观看后可至习题下载区下载习题)

01. 线性估计 (Linear Approximations) .....(点我观看) (玩玩GeoGebra)

02. 微分量 (Differentials) .....(点我观看) (玩玩GeoGebra)

03. 函数的极值 (Extreme Values of Functions) .....(点我观看)

04. 费马引理与临界点 (Fermat's Theorem and Critical Points) .....(点我观看)

05. 均值定理 (The Mean Value Theorem) .....(点我观看)

06. 递增与递减函数 (Increasing and Decreasing Functions) .....(点我观看)

07. 一阶导数判别法 (First Derivative Test) .....(点我观看)

08. 图形的凹性与反曲点 (Concavity and Inflection Points) .....(点我观看)

09. 二阶导数判别法 (Second Derivative Test) .....(点我观看)

10. 反导函数与不定积分 (Antiderivatives and Indefinite Integrals) .....(点我观看)

11. 不定积分的基本公式 (Formulas for Indefinite Integrals) .....(点我观看)