231sampleexam3

# 231sampleexam3 - MA 23100 NAME: PUID: Exam 3 INSTRUCTIONS...

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MA 23100 NAME: Exam 3 PUID: INSTRUCTIONS No books or notes are allowed. You may use a one-line scientiﬁc calculator. No other electronic device is allowed. Be sure to turn oﬀ your cellphone. Show all your work in the space provided. Little or no credit may be given for an answer with insuﬃcient or inconsistent work, even if the answer happens to be correct. Write answers in the boxes provided. All answers are expected to be simpliﬁed ( 2 4 1 2 , 2 x + x 3 x , e ln 2 2, etc). Question Possible Score 1 30 2 10 3 12 4 12 5 12 6 12 7 12 Total 100 1

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1.) (30 pts) Find f 0 ( x ) for each of the following functions: (a) f ( x ) = e 3 x 2 f 0 ( x ) = (b) f ( x ) = ln x x 5 f 0 ( x ) = (c) f ( x ) = ln( e 2 x + 1) f 0 ( x ) = (d) f ( x ) = ln ± x 4 5 x +7 ² f 0 ( x ) = (e) f ( x ) = x 3 e - 4 x f 0 ( x ) = 2
2.) (10 pts) Let f ( x ) = x 3 - 3 x 2 - 9 x + 1 . Find the absolute maximum and absolute minimum values of f ( x ) over the interval [ - 2 , 2]. maximum:

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## This note was uploaded on 01/21/2012 for the course MA 23100 taught by Professor Josephchen during the Spring '11 term at Purdue.

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231sampleexam3 - MA 23100 NAME: PUID: Exam 3 INSTRUCTIONS...

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