APPM 1340 Midterm: exam3solutions1340f15
Document Summary
Instructions: books, notes, and electronic devices are not permitted. Write neatly, top to bottom, left to right, one problem per page. A correct answer with incorrect or no supporting work may receive no credit. Show all work: ( 24 points;6,6,6,6) derivate the following functions with respect to x: (a) y = x x (b) y = 1 cos x x (c) y = (x + x 1)2 (d) y = p3x2 5x 8x. 2 (b) y = (x sin x) (1 cos x) x2 x sin x + cos x 1 x2 (c) y = 2(x + x 1)(1 x 2) = 2(cid:18)x + 2 (6x 5) 8: (18 points;6,6,6) consider the following functions: f (x) = |x+1|x and g(x) = p(x2 1) and (a) find f ( 2). (b) find g (1). (c) find h ( 1). Solution: h(x) = x2, x 1. X2 + 1, 1 < x < 1.
