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Unformatted text preview: to (aqt73) – 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 ) = 3 x sin2 x + 3 2 cos 2 x . 1. f ′ ( x ) = 6 x cos 2 x 2. f ′ ( x ) = 6 x cos 2 x correct 3. f ′ ( x ) = 6 x cos 2 x 6 sin 2 x 4. f ′ ( x ) = 6 x cos 2 x + 6 sin 2 x 5. f ′ ( x ) = 6 cos 2 x Explanation: Since d dx sin x = cos x, d dx cos x = sin x, it follows that f ′ ( x ) = 3 sin2 x + 6 x cos2 x 3 sin2 x. Consequently, f ′ ( x ) = 6 x cos2 x . 002 10.0 points Find f ′ ( x ) when f ( x ) = 1 √ x 2 6 x . 1. f ′ ( x ) = x 3 (6 x x 2 ) 1 / 2 2. f ′ ( x ) = x 3 ( x 2 6 x ) 3 / 2 3. f ′ ( x ) = 3 x ( x 2 6 x ) 3 / 2 correct 4. f ′ ( x ) = 3 x (6 x x 2 ) 3 / 2 5. f ′ ( x ) = 3 x ( x 2 6 x ) 1 / 2 6. f ′ ( x ) = x 3 (6 x x 2 ) 3 / 2 Explanation: By the Chain Rule, f ′ ( x ) = 1 2( x 2 6 x ) 3 / 2 (2...
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This note was uploaded on 06/14/2011 for the course MATH 305G taught by Professor Cathy during the Spring '11 term at University of Texas.
 Spring '11
 Cathy
 Derivative

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