The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x is the number of workers employed at the mill. If there are currently 52 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(52).

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Exponential Growth Model

The relation that represents an exponential function is: