q151q6wi - Answer : 2 (3 points ). ind the interval(s) in...

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Name: MATH 151 Assignment 6 Autumn 2009 Time : Due at start of class on 3/5/2010 Max : 15 Instructions : This assignment has 3 questions on 2 pages. Write your Fnal answer to each question in the space provided under that question. Appropriate work using algebra and/or calculus must be shown . Inadequately supported answers, especially if based soley on graphing calculators, may not be given credit. Unless otherwise speciFed, give the exact values of all answers, using fractions, radicals, e and π as needed, and not decimal approximations . 1 (4 points ). ±ind and classify the critical points of f ( x ) = 3 x 4 +4 x 3 - 12 x 2 into local maxima, local minima and neither.
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Unformatted text preview: Answer : 2 (3 points ). ind the interval(s) in which the graph of y = x 4 + 4 x 3-18 x 2 is concave up. Answer : (over) Typeset using A M S-T E X. MATH 151 Assignment 6, p . 2 Autumn 2009 3. F is a function that is deFned and continuous at all real numbers. The derivative of F is given by F ( x ) = ( x-1) 2 ( x + 3) 5 ( x + 1) 3 (i) (2 points ) What are the critical points of F ? Answer : (ii) (3 points ) Where is the function F increasing? Answer : (iii) (3 points ) or each critical point of F , decide if it is a local maximum, local minimum or neither. Answer : end...
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This note was uploaded on 03/13/2010 for the course MATH 151 taught by Professor Any during the Winter '08 term at Ohio State.

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q151q6wi - Answer : 2 (3 points ). ind the interval(s) in...

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