1. 4 - 1 © 2012 Pearson Education, Inc.. All rights reserved. Chapter 4 Calculating the Derivative

2. 4 - 2 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.1 Techniques for Finding Derivatives

3. 4 - 3 © 2012 Pearson Education, Inc.. All rights reserved.

4. 4 - 4 © 2012 Pearson Education, Inc.. All rights reserved.

5. 4 - 5 © 2012 Pearson Education, Inc.. All rights reserved. Figure 1

6. 4 - 6 © 2012 Pearson Education, Inc.. All rights reserved.

7. 4 - 7 © 2012 Pearson Education, Inc.. All rights reserved.

8. 4 - 8 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1 Solution:

9. 4 - 9 © 2012 Pearson Education, Inc.. All rights reserved.

10. 4 - 10 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution: Rewrite this as,

11. 4 - 11 © 2012 Pearson Education, Inc.. All rights reserved.

12. 4 - 12 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 3 Solution: Rewrite h(t) as

13. 4 - 13 © 2012 Pearson Education, Inc.. All rights reserved. Figure 2

14. 4 - 14 © 2012 Pearson Education, Inc.. All rights reserved. Figure 3

15. 4 - 15 © 2012 Pearson Education, Inc.. All rights reserved. Figure 4

16. 4 - 16 © 2012 Pearson Education, Inc.. All rights reserved. Figure 5

17. 4 - 17 © 2012 Pearson Education, Inc.. All rights reserved. Figure 6

18. 4 - 18 © 2012 Pearson Education, Inc.. All rights reserved. Figure 7

19. 4 - 19 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.2 Derivatives of Products and Quotients

20. 4 - 20 © 2012 Pearson Education, Inc.. All rights reserved.

21. 4 - 21 © 2012 Pearson Education, Inc.. All rights reserved. Figure 8

22. 4 - 22 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1 Solution : Simplify by multiplying and combining terms.

23. 4 - 23 © 2012 Pearson Education, Inc.. All rights reserved.

24. 4 - 24 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution:

25. 4 - 25 © 2012 Pearson Education, Inc.. All rights reserved.

26. 4 - 26 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.3 The Chain Rule

27. 4 - 27 © 2012 Pearson Education, Inc.. All rights reserved. Figure 9

28. 4 - 28 © 2012 Pearson Education, Inc.. All rights reserved.

29. 4 - 29 © 2012 Pearson Education, Inc.. All rights reserved.

30. 4 - 30 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 4 Solution:

31. 4 - 31 © 2012 Pearson Education, Inc.. All rights reserved.

32. 4 - 32 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 6 Solution: Now use the product rule and the chain rule.

33. 4 - 33 © 2012 Pearson Education, Inc.. All rights reserved. Figure 10

34. 4 - 34 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.4 Derivatives of Exponential Functions

35. 4 - 35 © 2012 Pearson Education, Inc.. All rights reserved.

36. 4 - 36 © 2012 Pearson Education, Inc.. All rights reserved.

37. 4 - 37 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1

38. 4 - 38 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution: Use the product rule and the chain rule.

39. 4 - 39 © 2012 Pearson Education, Inc.. All rights reserved. Figure 11

40. 4 - 40 © 2012 Pearson Education, Inc.. All rights reserved. Section 4.5 Derivatives of Logarithmic Functions

41. 4 - 41 © 2012 Pearson Education, Inc.. All rights reserved.

42. 4 - 42 © 2012 Pearson Education, Inc.. All rights reserved. Figure 12

43. 4 - 43 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 1

44. 4 - 44 © 2012 Pearson Education, Inc.. All rights reserved.

45. 4 - 45 © 2012 Pearson Education, Inc.. All rights reserved. Your Turn 2 Solution (a): Solution (b):

46. 4 - 46 © 2012 Pearson Education, Inc.. All rights reserved. Chapter 4 Extended Application: Electric Potential and Electric Field

47. 4 - 47 © 2012 Pearson Education, Inc.. All rights reserved. Figure 13

48. 4 - 48 © 2012 Pearson Education, Inc.. All rights reserved. Figure 14

49. 4 - 49 © 2012 Pearson Education, Inc.. All rights reserved. Figure 15