Credit Card Rate The average annual rate r (in percent form) for commercial bank credit

Chapter 2, Problem 78

(choose chapter or problem)

Credit Card Rate The average annual rate r (in percent form) for commercial bank credit cards from 2000 through 2005 can be modeled bywhere represents the year, with corresponding to 2000. (Source: Federal Reserve Bulletin) (a) Find the derivative of this model. Which differentiation rule(s) did you use? (b) Use a graphing utility to graph the derivative on the interval (c) Use the trace feature to find the years during which the finance rate was changing the most. (d) Use the trace feature to find the years during which the finance rate was changing the least.

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