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Worksheets II

# Worksheets II - Worksheets II(Chapter III Applications of...

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Worksheets II (Chapter III) Applications of Differentiation (31/3/2009) Due Date Wednesday 7-4-2009 Goal: 1- how to find the Maximum and Minimum Values 2- how to find the Increasing and Decreasing Functions. Multiple Choices Problems Circle only one for each problem. Worksheets II Applications of Differentiation Page 1

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1.Given the graph of 2 2 ( ) 1 x f x x = - , locate the absolute extrema (if they exist) on the interval ( 29 1,1 - . A) absolute max: ( 29 0,0 B) absolute min: ( 29 1, 5 - - and ( 29 1, 5 - C) absolute min: ( 29 0,1 D) no absolute extrema 2.Determine, by hand, the interval(s) where 2 1 ( ) , 0 x f x x x + = is increasing and/or decreasing. A) increasing 1 x < - and 1 x ; decreasing 1 1 x - < < B) increasing 0 x ; decreasing 0 x < C) increasing 1 x < - and 1 x ; decreasing 1 0 x - < < and 0 1 x < < D) increasing 1 1 x - < < ; decreasing 1 x < - and 1 x Worksheets II Applications of Differentiation Page 2
3.Determine the intervals where 3 2 20 33 ( ) + 7 + 6 3 2 f x x x x = is concave up and

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Worksheets II - Worksheets II(Chapter III Applications of...

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