How do you estimate the instantaneous rate of change in population in 2010 if a city's population (tens of thousands) is modeled by the function #p(t) = 1.2(1.05)^t# where t is number of years since 2000?
1 Answer
Apr 21, 2015
The instantaneous rate of change is nothing more than the derivative of your function; in one specific instant (as for you in year 2010) is the derivative evaluated at that point.
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