APPM 1350 Final: appm1350spring2014examfinal
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Instructions: books, notes, and electronic devices are not permitted. 1345/1350/final exam, (3) lecture number/instructor name and (4) spring 2014 on the front of your bluebook. Also make a grading table with room for 6 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. 1. (a) (5 pts. each) find the following derivatives, f (x), for the f given: (a) f (x) = x2 sin 1(x2) (b) f (x) = 1 + x2 (c) f (x) = x ln x (d) f (x) = xx (b) (15 pts) using rules for di erentiation it is easy to show that (3x2 + 1) = 6x. Show that this is true directly from the de nition of di erentiation. No credit will be given for quoting rules of di erentiation. d dx: (5 pts each) in answering the following questions, justify each part.
