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# CalcHW6 - Villarreal Natalie Homework 6 Due Oct 2 2007 3:00...

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Villarreal, Natalie – Homework 6 – Due: Oct 2 2007, 3:00 am – Inst: Louiza Fouli 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 1) 10 points Determine the derivative of f when f ( x ) = 1 4 2 / 3 . 1. f 0 ( x ) = 2 3 1 4 - 1 / 3 2. f 0 ( x ) = 1 6 x - 1 / 3 3. f 0 ( x ) = 1 4 x - 1 / 3 4. f 0 ( x ) = 0 5. f 0 ( x ) does not exist 002 (part 1 of 1) 10 points Find the x -coordinates of all the points on the graph of f at which the tangent line is horizontal when f ( x ) = x 3 + x 2 - x + 2 . 1. x -coord = 1 3 2. x -coord = - 1 3 3. x -coords = - 1 3 , 1 4. x -coord = 1 5. x -coord = - 1 6. x -coords = 1 3 , - 1 003 (part 1 of 1) 10 points Differentiate the function f ( x ) = 5 x 8 1. df dx = - 8 5 x 9 2. df dx = - 8 5 x 7 3. df dx = 9 5 x 9 4. df dx = - 5 8 x 7 5. df dx = 8 5 x 9 004 (part 1 of 1) 10 points Find the derivative of f ( x ) = ( x 5 + 3)(1 - 3 x 2 ) . 1. f 0 ( x ) = 5 x 4 - 18 x - 21 x 6 2. f 0 ( x ) = 5 x 4 - 18 x - 21 x 5 3. f 0 ( x ) = 5 x 4 + 18 x - 21 x 5 4. f 0 ( x ) = 5 x 5 - 18 x 2 - 21 x 6 5. f 0 ( x ) = 5 x 5 + 18 x 2 - 21 x 6 005 (part 1 of 1) 10 points Find the derivative of f when f ( x ) = x (2 x - 7) .

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