Brief Calculus for the Business, Social, and Life Sciences 3rd edition

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• Chapter 1: Functions, Modeling, and Average Rate of Change
  • 1.1: The Coordinate System and Functions
  • 1.2: Linear Functions and Average Rate of Change
  • 1.3: Quadratic Functions and Secant Line Slope
  • 1.4: Operations on Functions and Composite Functions
  • 1.5: Rational, Radical, and Power Functions
  • 1: Review Exercises
  
  
• Chapter 2: Limits and the Derivative
  • 2.1: Limits and Continuity
  • 2.2: Limits and Asymptotes
  • 2.3: Approximating Instantaneous Rates of Change
  • 2.4: The Derivative of a Function
  • 2: Review Exercises
  
  
• Chapter 3: Differentiation Techniques, the Differential, and Marginal Analysis
  • 3.1: Derivatives of Constants, Powers, and Sums
  • 3.2: Derivatives of Products and Quotients
  • 3.3: The Chain Rule
  • 3.4: The Differential and Linear Approximations
  • 3.5: Marginal Analysis
  • 3: Review Exercises
  
  
• Chapter 4: Exponential and Logarithmic Functions
  • 4.1: Exponential Functions
  • 4.2: Logarithmic Functions
  • 4.3: Derivatives of Exponential Functions
  • 4.4: Derivatives of Logarithmic Functions
  • 4: Review Exercises
  
  
• Chapter 5: Applications of the Derivative
  • 5.1: First Derivatives and Graphs
  • 5.2: Optimizing Functions on a Closed Interval
  • 5.3: Second Derivatives and Graphs
  • 5.4: The Second Derivative Test and Optimization
  • 5.5: Graphical Analysis and Curve Sketching
  • 5.6: Elasticity of Demand
  • 5.7: Implicit Differentiation and Related Rates
  • 5: Review Exercises
  
  
• Chapter 6: Integration
  • 6.1: The Indefinite Integral
  • 6.2: Area, the Definite Integral, and the Fundamental Theorem of Calculus
  • 6.3: Integral Calculus and Total Accumulation
  • 6.4: Integration by u-Substitution
  • 6.5: Integrals That Yield Logarithmic and Exponential Functions
  • 6: Review Exercises
  
  
• Chapter 7: Applications of Integral Calculus
  • 7.1: Average Value of a Function and the Definite Integral in Finance
  • 7.2: Area Between Curves and Applications
  • 7.3: Economic Applications of Area Between Curves
  • 7.4: Integration by Parts
  • 7.5: Numerical Integration
  • 7.6: Improper Integrals
  • 7.7: Differential Equations: Separation of Variables
  • 7.8: Differential Equations: Growth and Decay
  • 7: Review Exercises
  
  
• Chapter 8: Calculus of Several Variables
  • 8.1: Functions of Several Independent Variables
  • 8.2: Level Curves, Contour Maps, and Cross-sectional Analysis
  • 8.3: Partial Derivatives and Second-order Partial Derivatives
  • 8.4: Maxima and Minima
  • 8.5: Lagrange Multipliers
  • 8.6: Double Integrals
  • 8: Review Exercises