1. Chapter 2 Differentiation

2. Copyright © Houghton Mifflin Company. All rights reserved.2 | 2 Figure 2.1: Tangent Line to a Graph

3. Copyright © Houghton Mifflin Company. All rights reserved.2 | 3 Figure 2.2: Tangent Line to a Graph at a Point

4. Copyright © Houghton Mifflin Company. All rights reserved.2 | 4 Figure 2.3: Tangent Line to a Circle

5. Copyright © Houghton Mifflin Company. All rights reserved.2 | 5 Figure 2.6: The Secant Line Through the Two Points

6. Copyright © Houghton Mifflin Company. All rights reserved.2 | 6 Figure 2.7: Secant line approaches the tangent line

7. Copyright © Houghton Mifflin Company. All rights reserved.2 | 7 Definition of the Slope of a Graph

8. Copyright © Houghton Mifflin Company. All rights reserved.2 | 8 Definition of the Derivative

9. Copyright © Houghton Mifflin Company. All rights reserved.2 | 9 Figure 2.11: Functions That Are Not Differentiable at x = 0

10. Copyright © Houghton Mifflin Company. All rights reserved.2 | 10 Differentiability Implies Continuity

11. Copyright © Houghton Mifflin Company. All rights reserved.2 | 11 Figure 2.12: The Constant Rule

12. Copyright © Houghton Mifflin Company. All rights reserved.2 | 12 Figure 2.13: The (Simple) Power Rule

13. Copyright © Houghton Mifflin Company. All rights reserved.2 | 13 The Constant Multiple Rule

14. Copyright © Houghton Mifflin Company. All rights reserved.2 | 14 The Sum and Difference Rules

15. Copyright © Houghton Mifflin Company. All rights reserved.2 | 15 Figure 2.18: Definition of Average Rate of Change

16. Copyright © Houghton Mifflin Company. All rights reserved.2 | 16 Definition of Instantaneous Rate of Change

17. Copyright © Houghton Mifflin Company. All rights reserved.2 | 17 Marginal Profit/Marginal Revenue/Marginal Cost

18. Copyright © Houghton Mifflin Company. All rights reserved.2 | 18 Figure 2.22: Discrete and Continuous Variables

19. Copyright © Houghton Mifflin Company. All rights reserved.2 | 19 The Product Rule

20. Copyright © Houghton Mifflin Company. All rights reserved.2 | 20 The Quotient Rule

21. Copyright © Houghton Mifflin Company. All rights reserved.2 | 21 Figure 2.28: The Chain Rule

22. Copyright © Houghton Mifflin Company. All rights reserved.2 | 22 The General Power Rule

23. Copyright © Houghton Mifflin Company. All rights reserved.2 | 23 Summary of Differentiation Rule

24. Copyright © Houghton Mifflin Company. All rights reserved.2 | 24 Notation for Higher-Order Derivatives

25. Copyright © Houghton Mifflin Company. All rights reserved.2 | 25 Position Function/Velocity Function/Acceleration Function

26. Copyright © Houghton Mifflin Company. All rights reserved.2 | 26 Implicit Differentiation

27. Copyright © Houghton Mifflin Company. All rights reserved.2 | 27 Guidelines for Solving a Related-Rate Problem

28. Copyright © Houghton Mifflin Company. All rights reserved.2 | 28 Table: Verbal Statement/ Mathematical Model

29. Copyright © Houghton Mifflin Company. All rights reserved.2 | 29 Simplifying Algebraic Expressions