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Chapter 3

Chapter 3. Applications of the Derivative. Figure 3.1: Definition of Increasing and Decreasing Functions. Test for Increasing and Decreasing Functions. Figure 3.4: Definition of Critical Number. Guidelines for Applying Increasing/Decreasing Test. Figure 3.10: Definition of Relative Extrema .

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Chapter 3

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  1. Chapter 3 Applications ofthe Derivative

  2. Figure 3.1: Definition of Increasing and Decreasing Functions

  3. Test for Increasingand Decreasing Functions

  4. Figure 3.4: Definition ofCritical Number

  5. Guidelines for Applying Increasing/Decreasing Test

  6. Figure 3.10: Definition ofRelative Extrema

  7. Figure 3.11: Occurrences ofRelative Extrema

  8. First-Derivative Testfor Relative Extrema

  9. Figure 3.12: First-Derivative Test

  10. Definition of Absolute Extrema

  11. Figure 3.16: Absolute Extrema

  12. Extreme Value Theorem

  13. Guidelines for FindingExtrema on a Closed Interval

  14. Figure 3.20: Definition of Concavity

  15. Test for Concavity

  16. Guidelines forApplying Concavity Test

  17. Figure 3.24: Definition ofPoint of Inflection

  18. Property of Points of Inflection

  19. Figure 3.26: Finding Pointsof Inflection

  20. Figure 3.27: Second-Derivative Test

  21. Guidelines forSolving Optimization Problems

  22. Figure 3.41: Definition ofPrice Elasticity of Demand

  23. Summary of BusinessTerms and Formulas

  24. Figure 3.43: Graphs of the Demand, Revenue, Cost, and Profit Functions

  25. Figure 3.44: Definition ofVertical Asymptote

  26. Figure 3.49: Definition ofHorizontal Asymptote

  27. Horizontal Asymptotesof Rational Functions

  28. Guidelines for Analyzingthe Graph of a Function

  29. Figure 3.60: Graphs ofPolynomial Functions

  30. Definition of Differentials

  31. Figure 3.61: Tangent Line Approximation

  32. Differential Formsof Differentiation Rules

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