MA 125 Midterm: MA125_T3_S14
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Part i consists of 8 questions, 7 points each. Clearly write your answer (only) in the space provided after each question. You do not need not to show your work for this part of the test. No partial credit is awarded for this part of the test! Find all the critical numbers of the function f (x) = Find the limit lim x 0 ex 1 sin(x) Find the absolute maximum value of the function g(x) = 4x x2 on the closed interval [0, 1]. Find the open interval(s) on which the function g(x) = x3 27x 15 is increasing. Find the open interval(s) on which the function g(x) = x3 27x 15 is concave down. If f (x) = (x + 2)2(x 1)3(x 2)3. Find all points of the local maximum and local minimum of the function f . Notice: the rst derivative of the function is already given! If f (x) = (x + 1)2(x 1)3(x 2)4.
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