Brief Applied Calculus 7th edition

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• Chapter 1: Functions
  • 1.1: Real Numbers, Inequalities, and Lines
  • 1.2: Exponents
  • 1.3: Functions: Linear and Quadratic
  • 1.4: Functions: Polynomial, Rational, and Exponential
  • 1: Review Exercises and Chapter Test
  
  
• Chapter 2: Derivatives and Their Uses
  • 2.1: Limits and Continuity
  • 2.2: Rates of Change, Slopes, and Derivatives
  • 2.3: Some Differentiation Formulas
  • 2.4: The Product and Quotient Rules
  • 2.5: Higher-Order Derivatives
  • 2.6: The Chain Rule and the Generalized Power Rule
  • 2.7: Nondifferentiable Functions
  • 2: Review Exercises and Chapter Test
  
  
• Chapter 3: Further Applications of Derivatives
  • 3.1: Graphing Using the First Derivative
  • 3.2: Graphing Using the First and Second Derivatives
  • 3.3: Optimization
  • 3.4: Further Applications of Optimization
  • 3.5: Optimizing Lot Size and Harvest Size
  • 3.6: Implicit Differentiation and Related Rates
  • 3.7: Differentials, Approximations, and Marginal Analysis
  • 3: Review Exercises and Chapter Test
  • 3: Cumulative Review for Chapters 1-3
  
  
• Chapter 4: Exponential and Logarithmic Functions
  • 4.1: Exponential Functions
  • 4.2: Logarithmic Functions
  • 4.3: Differentiation of Logarithmic and Exponential Functions
  • 4.4: Two Applications to Economics: Relative Rates and Elasticity of Demand
  • 4: Review Exercises and Chapter Test
  
  
• Chapter 5: Integration and Its Applications
  • 5.1: Antiderivatives and Indefinite Integrals
  • 5.2: Integration Using Logarithmic and Exponential Functions
  • 5.3: Definite Integrals and Areas
  • 5.4: Further Applications of Definite Integrals: Average Value and Area Between Curves
  • 5.5: Two Applications to Economics: Consumers' Surplus and Income Distribution
  • 5.6: Integration by Substitution
  • 5: Review Exercises and Chapter Test
  
  
• Chapter 6: Integration Techniques and Differential Equations
  • 6.1: Integration by Parts
  • 6.2: Integration Using Tables
  • 6.3: Improper Integrals
  • 6.4: Numerical Integration
  • 6.5: Differential Equations
  • 6.6: Further Applications of Differential Equations: Three Models of Growth
  • 6: Review Exercises and Chapter Test
  
  
• Chapter 7: Calculus of Several Variables
  • 7.1: Functions of Several Variables
  • 7.2: Partial Derivatives
  • 7.3: Optimizing Functions of Several Variables
  • 7.4: Least Squares
  • 7.5: Lagrange Multipliers and Constrained Optimization
  • 7.6: Total Differentials, Approximate Changes, and Marginal Analysis
  • 7.7: Multiple Integrals
  • 7: Review Exercises and Chapter Test
  • 7: Cumulative Review for Chapters 1-7
  
  
• Chapter DT: Diagnostic Test
  • DT: Diagnostic Test
  
  
• Chapter A: Appendices
  • A.A: Graphing Calculator Basics
  • A.B: Algebra Review
  • A.C: Normal Probabilities from Tables