MATH 124 Midterm: MATH 124 UW 124 Sp13 Sol1
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MATH 124 Full Course Notes
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Math 124, section c, spring 2013,solutions to midterm i: di erentiate the following functions. You do not need to simplify your answers. (a) f (x) = (2xex + x2ex)(x5 + 3) (x2ex)(5x4) (x5 + 3)2 (b) f (x) = 3x2 cos(cid:0)x3(cid:1) . 2x (x2 + 1)2 (c) f (x) = e4x tan(x) + 4xe4x tan(x) + xe4x sec2(x: answer the following limit questions. (a) (4 points) compute the following. You do not have to show your work. lim x 3+ 4x2 + 1 x2 9 lim x 3+ 4x2 + 1 x2 9 lim x . 4x2 + 1 x2 9 lim x 3 . Now, use your answers above to decide which of the following is the graph of y = 4x2+1 x2 9 . = lim x 2 (x 2)(x 3) 1 (c) lim h 0 x+3+h h d dx (cid:18) 1 x + 3(cid:19) = .