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2.2 Chapter 2 - The Derivative Function 97 ________. 2.2 Exercises .Let f(x)=3xx . 2 a) Find the average rate of change of f from x =1 to x = 3. b) Find an equation of the corresponding secant line. c) Plot graphs of f and the secant line. The graph below shows the squirrel population in a certain wilderness area. The population increases as the squirrels reproduce, but then decreases sharply as predators move into the area. 2600 4 Population Il O O G 150 200 5.-v15-(-)u.--f.... Days a) What is the average growth rate from day 10 to day 50'? What does this number mean? b) During what approximate time period, beginning at day 0, is the average growth rate of the squirrel populatitm positive? 0) During what approximate time period, beginning at day 0, is the average growth rate of the squirrel population 0? (1) Approximate the instantaneous rate of change of the squirrel population on day 30 and on day 100. Given the following data for a function f . ------n \"WE-u a) Find the average rate of change of f from x = 4 to x = 6. b) Estimate the instantaneous rate of phange of f at x = 4. c) Find, approximately, an equation of the tangent line at x = 4. (1) Use the tangent line to estimate f (4.5)