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14. . For the function f(x)= In (x+3), find f(x), f(0), f(1), and f(-4) f ( x ) = Select the correct choice below and

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14. . For the function f(x)= In (x+3), find f"(x), f"(0), f"(1), and f"(-4) f" ( x ) = Select the correct choice below and fill in any answer boxes within your choice. A. f" (0)= B. f"(0) is undefined. Select the correct choice below and fill in any answer boxes within your choice. A. f" ( 1)= B. f"(1) is undefined Select the correct choice below and fill in any answer boxes within your choice A . f" ( -4 ) = B. f" (-4) is undefined 15. The profit function (in millions) for a beverage company for the years 2010 through 2016 can be approximated by f(x)= -28x^2 + 784x - 3587, where x corresponds to the year 2010 . (a) During what year did a local maximum profit occur? (b) What was the maximum profit? (a) A local extremum occurs at a critical number of f. Because the derivative exists for every x, the only critical number(s) occur where the derivative is zero. Find the derivative of f(x). f" ( x ) = A local maximum profit occurred in the year = (b) The maximum profit was $ ? million. (Simplify your answer. Round to the nearest integer as needed.)

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