MATH 0120 Lecture Notes - Lecture 1: Maxima And Minima, The Monthly, Implicit Function
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M120 sample exam 2 2154 (spring 2015) (1) the cost c, in dollars, to produce q quarts of ice cream is c = f(q). In each of the following statements, what are the units of the two numbers. Also, in words, what does each statement tell us ? (a) f(200) = 600. (b) f(cid:48)(200) = 2. (2) let f(x) = x x2 + 1 . Find the equation(s) of the tangent line(s) to the graph of f where the tangent line is horizontal. 3 x3 + x2 12x + 6. 4y2 g(y) = (7) find dy dx and d2y dx2 for the function y = (x3 + 1)4. dx2 as the product of factors. Find where the function is increasing, decreasing, concave up and concave down. Find the critical points, in ection points and where the function has a local maximum and/or local minimum. The monthly cost is c(x) = 72, 000 + 60x.
