3.6 Related Rates Chapter 1 (Review) 3.7 Elasticity of Demand (optional) 1.1 Functions (optional) Chapter 4 1.2 Graphs and Transformations (optional) 1.3 Quadratic Equations (optional) 4.1 First Derivative and Graphs 1.4 Polynomial and Rational Functions 4.2 Second Derivative and Graphs (optional) 4.3 L’Hôpital’s Rule (optional) 1.5 Exponential Functions (optional) 4.4 Curve Sketching Techniques 1.6 Logarithmic Functions (optional) 4.5 Absolute Maxima and Minima 4.6 Optimization Chapter 2 Chapter 5 2.1 Introduction to Limits 2.2 Infinite Limits and Limits at Infinity 5.1 Anti‐derivatives and Indefinite Integrals 2.3 Continuity 5.2 Integration by Substitution 2.4 The Derivative 5.3 Diff. Equations: Growth and Decay 2.5 Basic Differentiation Properties 5.4 The Definite Integral 2.6 Differentials (optional) 5.5 The Fundamental Theorem of Calculus 2.7 Marginal Analysis in Business and Economics Chapter 6 Chapter 3 6.1 Area between Curves 6.2 Applications in Business and Economics 3.1 The Constant e and Continuous Interest 6.3 Integration by Parts 3.2 Derivatives of Exp and Logarithmic Functions Chapter 7 3.3 Derivatives of Products and Quotients 3.4 The Chain Rule 7.1 Functions of Several Variables 3.5 Implicit Differentiation 7.2 Partial Derivatives
Chapter 1 (Review) 1.1 Functions (optional) 1.2 Graphs and Transformations (optional) 1.3 Quadratic Equations (optional) 1.4 Polynomial and Rational Functions (optional) 1.5 Exponential Functions (optional) 1.6 Logarithmic Functions (optional) Chapter 2 2.1 Introduction to Limits 2.2 Infinite Limits and Limits at Infinity 2.3 Continuity 2.4 The Derivative 2.5 Basic Differentiation Properties 2.6 Differentials (optional) 2.7 Marginal Analysis in Business and Economics Chapter 3 3.1 The Constant e and Continuous Interest 3.2 Derivatives of Exp and Logarithmic Functions 3.3 Derivatives of Products and Quotients 3.4 The Chain Rule 3.5 Implicit Differentiation 3.6 Related Rates 3.7 Elasticity of Demand (optional) Chapter 4 4.1 First Derivative and Graphs 4.2 Second Derivative and Graphs 4.3 L’Hôpital’s Rule (optional) 4.4 Curve Sketching Techniques 4.5 Absolute Maxima and Minima 4.6 Optimization Chapter 5 5.1 Anti‐derivatives and Indefinite Integrals 5.2 Integration by Substitution 5.3 Diff. Equations: Growth and Decay 5.4 The Definite Integral 5.5 The Fundamental Theorem of Calculus Chapter 6 6.1 Area between Curves 6.2 Applications in Business and Economics 6.3 Integration by Parts Chapter 7 7.1 Functions of Several Variables 7.2 Partial Derivatives