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Ingredients Of Change: Functions And Limits | |
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Functions--Four Representations | |
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Function Behavior and End Behavior Limits | |
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Limits and Continuity | |
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Linear Functions and Models | |
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Exponential Functions and Models | |
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Models in Finance | |
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Constructed Functions | |
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Logarithmic Functions and Models | |
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Quadratic Functions and Models | |
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Logistic Functions and Models | |
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Cubic Functions and Models | |
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Cyclic Functions and Models | |
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Representations of a Sine Function | |
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Characteristics of Sine Functions | |
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Describing Change: Rates | |
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Measures of Change over an Interval | |
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Measures of Change at a Point | |
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Rates of Change--Notation and Interpretation | |
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Rates of Change--Numerical Limits and Non-existence | |
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Rates of Change Defined over Intervals | |
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Sketching Rate-of-Change Graphs | |
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Determining Change: Derivatives | |
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Simple Rate-of-Change Formulas | |
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Exponential, Logarithmic, and Cyclic Rate-of-Change Formulas | |
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Rates of Change for Functions That Can Be Composed | |
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Rates of Change of Composite Functions | |
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Rates of Change for Functions That Can Be Multiplied | |
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Rates of Change for Product Functions | |
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Limits of Quotients and L'H?pital's Rule | |
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Analyzing Change: Applications Of Derivatives | |
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Linearization | |
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Relative Extreme Points | |
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Relative Extreme Points | |
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Inflection Points and Second Derivatives | |
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Marginal Analysis | |
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Optimization of Constructed Functions | |
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Related Rates | |
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Accumulating Change: Limits Of Sums And The Definite Integral | |
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An Introduction to Results of Change | |
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Limit of Sums and the Definite Integral | |
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Accumulation Functions | |
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The Fundamental Theorem | |
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Antiderivative Formulas for Exponential, Natural Log, and Sine Functions | |
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The Definite Integral--Algebraically | |
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Differences of Accumulated Change | |
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Average Value and Average Rate of Change | |
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Integration of Product or Composite Functions | |
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Analyzing Accumulated Change: Integrals And Action | |
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Perpetual Accumulation and Improper Integrals | |
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Streams in Business and Biology | |
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Calculus in Economics--Demand and Elasticity | |
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Calculus in Economics--Supply and Equilibrium | |
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Calculus in Probability--Part | |
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Calculus in Probability--Part | |
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Differential Equations--Slope Fields and Solutions | |
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Differential Equations--Proportionality and Common Forms | |
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Ingredients Of Multivariable Change: Functions And Rates | |
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Multivariable Functions and Contour Graphs | |
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Cross-Sectional Models and Rates of Change | |
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Partial Rates of Change | |
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Compensating for Change | |
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Analyzing Multivariable Change: Optimization | |
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Extreme Points and Saddle Points | |
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Multivariable Optimization | |
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Optimization Under Constraints | |
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Least-Squares Optimization | |
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Answers to Odd Activities | |
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Index of Applications | |
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Subject Index | |