Homework 8

# Homework 8 - vu(tv2894 – Homework 8(Quest – miner...

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Unformatted text preview: vu (tv2894) – Homework 8 (Quest) – miner – (55096) 1 This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Which of the following graphs is the graph of the derivative of the function f ( x ) = sin x +3? 1. 4 8- 4- 8 2 4- 2- 4 x y 2. 4 8- 4- 8 2 4- 2- 4 x y 3. 4 8- 4- 8 2 4- 2- 4 x y correct 4. 4 8- 4- 8 2 4- 2- 4 x y 5. 4 8- 4- 8 2 4- 2- 4 x y Explanation: 4 8- 4- 8 2 4- 2- 4 x y f 4 8- 4- 8 2 4- 2- 4 x y f ′ 002 10.0 points Determine the derivative of f when f ( x ) = x 2 sin x + 2 x cos x . 1. f ′ ( x ) = ( x 2 + 2) cos x correct 2. f ′ ( x ) = ( x 2- 2) cos x 3. f ′ ( x ) =- ( x 2- 2) sin x 4. f ′ ( x ) =- ( x 2 + 2) sin x 5. f ′ ( x ) =- ( x 2 + 2) cos x 6. f ′ ( x ) = ( x 2 + 2) sin x Explanation: By the Product Rule, f ′ ( x ) = 2 x sin x + x 2 cos x + 2 cos x- 2 x sin x ....
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## This note was uploaded on 11/07/2010 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas.

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Homework 8 - vu(tv2894 – Homework 8(Quest – miner...

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