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Unformatted text preview: troyer (lmt836) Section 3.5 isaacson (55826) 1 This printout should have 6 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the derivative of f ( x ) = 2 x sin4 x + 1 2 cos 4 x . 1. f ( x ) = 8 x cos 4 x 2. f ( x ) = 8 x cos 4 x 4 sin 4 x 3. f ( x ) = 8 cos 4 x 4. f ( x ) = 8 x cos 4 x + 4 sin 4 x 5. f ( x ) = 8 x cos 4 x correct Explanation: Since d dx sin x = cos x, d dx cos x = sin x, it follows that f ( x ) = 2 sin4 x + 8 x cos4 x 2 sin4 x. Consequently, f ( x ) = 8 x cos4 x . 002 10.0 points Find f ( x ) when f ( x ) = 1 x 2 6 x . 1. f ( x ) = 3 x ( x 2 6 x ) 3 / 2 correct 2. f ( x ) = x 3 (6 x x 2 ) 1 / 2 3. f ( x ) = x 3 ( x 2 6 x ) 3 / 2 4. f ( x ) = x 3 (6 x x 2 ) 3 / 2 5. f ( x ) = 3 x ( x 2 6 x ) 1 / 2 6. f ( x ) = 3 x (6 x x 2 ) 3 / 2 Explanation: By the Chain Rule, f ( x ) = 1 2( x 2 6 x ) 3 /...
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 Spring '11
 Cathy
 Derivative

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