1. 3 rd Saturday Sections 3.1 – 3.2

2. Find the derivative of each of the following functions: (a) (b) (c) Example 1

3. Find the derivative of each of the following functions: (a) (b) (c) Example 2

4. Find the derivative of each of the following functions: (a) (b) (c) Example 3

5. Find the derivative of each of the following models: (a) percent x years after 2005. (b) quadrillion kWh in year x. (c) billion units when x million dollars is invested. Example 4

6. The number of points (out of 100) earned on a test when x hours of studying is modeled by the formula: (a)How quickly is the grade changing when the student studies for 4 hours? (b)What is the percent rate of change in the grade when the student studies for 8 hours? Example 5

7. The table shows the cost (in $/hour) for a company to make x units of its product. (a)What is the average rate of change in cost when production increases from 20 units to 60 units? (b)At what rate is cost changing when 47 units are sold? Example 6 Units0102030405060708090 Cost0150200250400750 1400240038505850

8. The world population x years after 1900 can be modeled by the formula: (a)Give a model for the rate of change in the world population. (b)Find the rate of change and percent rate of change in the world’s population in 1973. Example 7

9. The table shows the amount of municipal solid waste (in million tons) recycled in various years. (a)Give a model for the rate of change in MSW x years after 1960? (b)At what rate was MSW changing in 1987? Example 8 Year19601970198019902000 MSW4.78.91732.461.7

10. The air pressure (in “Hg) at an altitude of x thousand feet can be modeled by the formula. (a)Give a model for the rate of change in air pressure. (b)What is the percent rate of change in air pressure at an altitude of 26000 feet? Example 9

11. The table shows the number of homes (in millions) that had a PC in various years. (a)Give a model for the rate of change in the number of homes with PC’s x years after 1980? (b)At what rate was the number of homes with PC’s changing in 1984? Example 10 Year198119831985198719891991 # PC’s2.46.48.379.6610.5511.3