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Chapter 2

Chapter 2. Differentiation. Figure 2.1: Tangent Line to a Graph. Figure 2.2: Tangent Line to a Graph at a Point. Figure 2.3: Tangent Line to a Circle. Figure 2.6: The Secant Line Through the Two Points. Figure 2.7: Secant line approaches the tangent line. Definition of the Slope of a Graph.

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Chapter 2

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  1. Chapter 2 Differentiation

  2. Figure 2.1: Tangent Line to a Graph

  3. Figure 2.2: Tangent Lineto a Graph at a Point

  4. Figure 2.3: Tangent Line to a Circle

  5. Figure 2.6: The SecantLine Through the Two Points

  6. Figure 2.7: Secant lineapproaches the tangent line

  7. Definition of the Slope of a Graph

  8. Definition of the Derivative

  9. Figure 2.11: Functions ThatAre Not Differentiable at x = 0

  10. Differentiability Implies Continuity

  11. Figure 2.12: The Constant Rule

  12. Figure 2.13: The (Simple)Power Rule

  13. The Constant Multiple Rule

  14. The Sum and Difference Rules

  15. Figure 2.18: Definition ofAverage Rate of Change

  16. Definition ofInstantaneous Rate of Change

  17. Marginal Profit/Marginal Revenue/Marginal Cost

  18. Figure 2.22: Discrete andContinuous Variables

  19. The Product Rule

  20. The Quotient Rule

  21. Figure 2.28: The Chain Rule

  22. The General Power Rule

  23. Summary of Differentiation Rule

  24. Notation forHigher-Order Derivatives

  25. Position Function/Velocity Function/Acceleration Function

  26. Implicit Differentiation

  27. Guidelines for Solvinga Related-Rate Problem

  28. Table: Verbal Statement/Mathematical Model

  29. Simplifying Algebraic Expressions

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