# 微 積 分 翻 譯 問 題

1.3 The Limit of a Function

1.4 Calculating Limits

1.5 Continuity

1.6 Limits Involving Infinity

2.1 Derivatives and Rates of Change

2.2 The Derivative as a Function

2.3 Basic Differentiation Formulas

2.4 The Product and Quotient Rules

2.5 The Chain Rule

2.6 Implicit Differentiation

2.7 Related Rates

3.1 Maximum and Minimum Values

2.8 Linear Approximations and Differentials

3.2 The Mean Value Theorem

3.3 Derivatives and the Shapes of Graphs

3.4 Curve Sketching

3.5 Optimization Problems

3.7 Antiderivatives

4.1 Areas and Distances

4.2 The Definite Integrals

4.3 Evaluating Definite Integrals

4.4 The Fundamental Theorem of Calculus

4.5 The Substitution rule

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微積分 (Calculus)

1.3 The Limit of a Function

函數的極限

1.4 Calculating Limits

計算極限

1.5 Continuity

連續性

1.6 Limits Involving Infinity

含無窮的極限

2.1 Derivatives and Rates of Change

導函數與改變率

2.2 The Derivative as a Function

視導函數為函數

2.3 Basic Differentiation Formulas

微分基本公式

2.4 The Product and Quotient Rules

積法則與商法則

2.5 The Chain Rule

鏈式法則

2.6 Implicit Differentiation

隱函數微分

2.7 Related Rates

相對變化率

2.8 Linear Approximations and Differentials

線性估計與微變量

3.1 Maximum and Minimum Values

極大值與極小值

3.2 The Mean Value Theorem

均值定理

3.3 Derivatives and the Shapes of Graphs

導函數與函數圖形

3.4 Curve Sketching

曲線描繪

3.5 Optimization Problems

最佳化問題

3.7 Antiderivatives

反導函數

4.1 Areas and Distances

面積與距離

4.2 The Definite Integrals

定積分

4.3 Evaluating Definite Integrals

定積分的計算

4.4 The Fundamental Theorem of Calculus

微積分基本定理

4.5 The Substitution rule

積分的變數代換

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