第1章 函數的極限與連續性 1-1 函數極限定義與基本定理 1-2 連續性 1-3 無窮極限與漸近線 第2章 導函數 2-1 變化率之概念 2-2 函數之導函數 2-3 導函數之四則運算及高階導函數 2-4 鏈鎖法則及應用 2-5 隱函數微分與參數微分法 第3章 超越函數的導函數 3-1 三角函數的導函數 3-2 反三角函數的導函數 3-3 對數函數的導函數 3-4 指數函數的導函數 Chapter One Limits and Continuity of Functions 1-1 Limit Definitions and Fundamental Theorems of Functions 1-2 Continuity 1-3 Infinite Limits and Asymptotes Chapter Two Derivatives 2-1 The Concept of a Change Rate 2-2 The Derivative of a Function 2-3 Differentiation Formulas and Higher-Order Derivatives 2-4 The Chain Rule and its Applications 2-5 Implicit Differentiation and Parametric Differentiation Chapter Three Derivatives of Transcendental Functions 3-1 Derivatives of Trigonometric Functions 3-2 Derivatives of Inverse Trigonometric Functions 3-3 Derivatives of Logarithmic Functions 3-4 Derivatives of Exponential Functions