MATH 1231 Lecture : 2.1 Average Rate of Change Notes

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Aroc (over an interval) = change in f(x)/change in x example: q/ t. Aroc = f(b) - f(a)/(b-a) examples: f(x) = 4 -x2. = 2 f(a) = 4 f(b) = 0 (0 - 4)/(2 - 0) = -4/2 = -2: the profit in millions of dollars of producing x products is given by p(x) = -3x2 + Find the average rate of change of profit for the first five units. f(5) - f(0)/(5 - 0) = [(-3(25) + 10 + 500) - 500]/5.