The First Derivative Test-problems-1

# The First Derivative Test-problems-1 - handa(nh5757 – The...

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Unformatted text preview: handa (nh5757) – The First Derivative Test – bormashenko – (54880) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Locate all the critical points of f ( x ) = ( x + 3) 4 (2- x ) 3 . 1. x = 2 ,- 3 , 1 7 2. x =- 2 ,- 3 ,- 1 7 3. x =- 2 , 3 , 1 7 4. x = 2 , 3 , 1 7 5. x = 2 , 3 ,- 1 7 6. x = 2 ,- 3 ,- 1 7 002 10.0 points Find all points x at which f ( x ) = 3 + x ( x- 4) 2 has a local minimum. 1. x = 10 ,- 10 2. x =- 3 , 4 3. no such x exist 4. x =- 3 5. x = 10 6. x =- 10 7. x = 4 003 10.0 points Find the absolute minimum value of f ( x ) = 2 x + 1 x 2 on (0 , ∞ ) . 1. abs. min. value = 4 2. abs. min. value = 3 3. no abs. min. value exists 4. abs. min. value = 1 5. abs. min. value = 2 004 10.0 points On which interval(s) is f ( x ) = x 4- 2 x 2- 1 decreasing? 1. [- 1 , 0 ] , [ 1 , ∞ ) 2. [- 1 , 1 ] 3. (-∞ ,- 1 ] , [ 1 , ∞ ) 4. (-∞ ,- 1 ] , [ 0 , 1 ] 5. (-∞ ,...
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## This note was uploaded on 11/21/2011 for the course M 408N taught by Professor Gualdini during the Spring '10 term at University of Texas.

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The First Derivative Test-problems-1 - handa(nh5757 – The...

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