Assignment4(0211)

# Assignment4(0211) - A4/MATH0211/2009-10 THE UNIVERSITY OF...

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A4/MATH0211/2009-10 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH0211 Basic Applicable Mathematics Assignment 4 Due date : Nov 5, 2009 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or demonstrator if you have any diﬃculties. See “Course information” at http://147.8.101.93/MATH0211 for availabilities. Please drop your work in the assignment box marked MATH0211 on the 4th ﬂoor of Run Run Shaw Building. No late work will be accepted. 1. For the following functions (i) ﬁnd the critical points , (ii) indicate whether these points are local maximum (or minimum) by using the ﬁrst derivative test and (iii) ﬁnd the intervals for which the function is strictly increasing or decreasing. (a) f ( x ) = x 4 + 2 x 3 - 3 x 2 - 4 x + 4 (b) f ( x ) = 1 3 x 3 + 1 2 x 2 - 6 x + 8 (c) f ( x ) = 1 x - 2 2. Find the absolute extrema of the following functions in the given interval: (a) f ( x ) = x 5 - 3 x 2 - 8 x

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## This note was uploaded on 01/02/2012 for the course MATH 0211 taught by Professor Chan during the Spring '10 term at HKU.

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Assignment4(0211) - A4/MATH0211/2009-10 THE UNIVERSITY OF...

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