International Economics—Unemployment in Ireland: Suppose a social worker wants to explore...

International Economics—Unemployment in Ireland: Suppose a social worker wants to explore the number of unemployed in Ireland to see how rapidly the unemployment rate has been increasing. The number unemployed in Ireland annually from 2000 to 2010 can be modeled by

where x represents the number of years since 2000, and f(x) represents the number of unemployed in Ireland, measured in thousands. (Source: Google Public Data.)

(a) Determine f′(x).

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(b) Use part (a) to determine the rate at which the number of unemployed in Ireland was increasing in 2009.