Applied Calculus for the Managerial, Life, and Social Sciences, A Brief Approach 10th edition

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• Chapter 1: Preliminaries
  • 1.1: Precalculus Review I
  • 1.2: Precalculus Review II
  • 1.3: The Cartesian Coordinate System
  • 1.4: Straight Lines
  • 1: Concept Review Questions
  • 1: Review Exercises
  
  
• Chapter 2: Functions, Limits, and the Derivative
  • 2.1: Functions and Their Graphs
  • 2.2: The Algebra of Functions
  • 2.3: Functions and Mathematical Models
  • 2.4: Limits
  • 2.5: One-Sided Limits and Continuity
  • 2.6: The Derivative
  • 2: Concept Review Questions
  • 2: Review Exercises
  
  
• Chapter 3: Differentiation
  • 3.1: Basic Rules of Differentiation
  • 3.2: The Product and Quotient Rules
  • 3.3: The Chain Rule
  • 3.4: Marginal Functions in Economics
  • 3.5: Higher-Order Derivatives
  • 3.6: Implicit Differentiation and Related Rates
  • 3.7: Differentials
  • 3: Concept Review Questions
  • 3: Review Exercises
  
  
• Chapter 4: Applications of the Derivative
  • 4.1: Applications of the First Derivative
  • 4.2: Applications of the Second Derivative
  • 4.3: Curve Sketching
  • 4.4: Optimization I
  • 4.5: Optimization II
  • 4: Concept Review Questions
  • 4: Review Exercises
  
  
• Chapter 5: Exponential and Logarithmic Functions
  • 5.1: Exponential Functions
  • 5.2: Logarithmic Functions
  • 5.3: Compound Interest
  • 5.4: Differentiation of Exponential Functions
  • 5.5: Differentiation of Logarithmic Functions
  • 5.6: Exponential Functions as Mathematical Models
  • 5: Concept Review Questions
  • 5: Review Exercises
  
  
• Chapter 6: Integration
  • 6.1: Antiderivatives and the Rules of Integration
  • 6.2: Integration by Substitution
  • 6.3: Area and the Definite Integral
  • 6.4: The Fundamental Theorem of Calculus
  • 6.5: Evaluating Definite Integrals
  • 6.6: Area Between Two Curves
  • 6.7: Applications of the Definite Integral to Business and Economics
  • 6: Concept Review Questions
  • 6: Review Exercises
  
  
• Chapter 7: Additional Topics in Integration
  • 7.1: Integration by Parts
  • 7.2: Integration Using Tables of Integrals
  • 7.3: Numerical Integration
  • 7.4: Improper Integrals
  • 7.5: Applications of Calculus to Probability
  • 7: Concept Review Questions
  • 7: Review Exercises
  
  
• Chapter 8: Calculus of Several Variables
  • 8.1: Functions of Several Variables
  • 8.2: Partial Derivatives
  • 8.3: Maxima and Minima of Functions of Several Variables
  • 8.4: The Method of Least Squares
  • 8.5: Constrained Maxima and Minima and the Method of Lagrange Multipliers
  • 8.6: Double Integrals
  • 8: Concept Review Questions
  • 8: Review Exercises
  
  
• Chapter A: Appendix A
  • A.1: The Inverse of a Function
  • A.2: The Graphs of Inverse Functions
  • A.3: Functions That Have Inverses
  • A.4: Finding the Inverse of a Function
  
  
• Chapter B: Appendix B
  • B.1: Indeterminate Forms
  • B.2: The Indeterminate Forms 0/0 and ∞/∞ and l/Hôpital's Rule
  
  
• Chapter DT: Diagnostic Test
  • DT: Diagnostic Test