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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 | |