Simple Rate of Change Formulas: Understanding Basic Rules for Calculations

1. Simple Rate of Change Formulas Section 4.2

2. Simple Formulas • Constant rule

3. Simple Formulas • Constant rule

4. Simple Formulas • Power rule

5. Simple Formulas • Power rule

6. Simple Formulas • Constant multiple rule

7. Simple Formulas • Constant multiple rule

8. Simple Formulas • Addition rule

9. Simple Formulas • Addition rule

10. Simple Formulas • Subtraction rule

11. Simple Formulas • In-Class

12. More Simple Rate of Change Formulas Section 4.3

13. More Simple Formulas • ex rule

14. More Simple Formulas • bx rule

15. More Simple Formulas • bx rule

16. More Simple Formulas • ln(x) rule

17. More Simple Formulas • In-Class

18. Simple Formulas • Demand curve • What is the change in quantity demanded as the price changes? • Profit • What is the change in profit as the number of workers changes?

19. Simple Formulas • Demand curve • What is the change in quantity demanded as the price changes?

20. Simple Formulas

21. Simple Formulas • Fit a linear model to the data

22. Simple Formulas • What is the change in quantity demanded as the price changes?

23. Simple Formulas

24. Simple Formulas • Fit a quadratic model to the data

25. Simple Formulas • What is the change in quantity demanded as the price changes?

26. Simple Formulas • If the current price is $21, what is the change in quantity demanded as the price changes?

27. Simple Formulas • If the current price is $21, what is the change in quantity demanded as the price changes?

28. Simple Formulas • Profit • What is the change in profit as the number of workers changes? Profit = Revenue - Cost

29. Simple Formulas

30. Simple Formulas Revenue

31. Simple Formulas • Fit a quadratic model to the revenue data

32. Simple Formulas Cost

33. Simple Formulas • Fit a linear model to the cost data

34. Simple Formulas • Profit • What is the change in profit as the number of workers changes?

35. Simple Formulas • Profit • If there are currently 18 workers, what is the change in profit as the number of workers changes?

36. Simple Formulas • Profit • If there are currently 18 workers, what is the change in profit as the number of workers changes?

37. More Simple Formulas • Stock index • What is the change in the value of a stock index as time changes? • Bond yields • What is the change in the yield of a bond as the term increases?

38. More Simple Formulas • Stock index • What is the change in the value of a stock index as time changes?

39. More Simple Formulas

40. More Simple Formulas

41. More Simple Formulas • Fit an exponential model to the data

42. More Simple Formulas • What is the change in the value of a stock index as time changes?

43. More Simple Formulas • If the current year is 2005, what is the change in the value of a stock index as time changes?

44. More Simple Formulas • Bond yields • What is the change in the yield of a bond as the term increases?

45. More Simple Formulas

46. More Simple Formulas

47. More Simple Formulas • Fit a logarithmic model to the data

48. More Simple Formulas • What is the change in the yield of a bond as the term changes?

49. More Simple Formulas • If the term is 24 months, what is the change in the yield of a bond as the term changes?

50. More Simple Formulas • In-Class