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# Exam2_3 1 - Version 208 Exam 2 Radin(58305 This print-out...

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Version 208 – Exam 2 – Radin – (58305) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine f ( x ) when f ( x ) = x + 2 x 2 1 . 1. f ( x ) = 1 2 x ( x 2 1) 1 / 2 2. f ( x ) = 1 + 2 x ( x 2 1) 1 / 2 3. f ( x ) = 1 + 2 x ( x 2 1) 1 / 2 4. f ( x ) = 1 + 2 x ( x 2 1) 3 / 2 correct 5. f ( x ) = 1 + 2 x ( x 2 1) 3 / 2 6. f ( x ) = 1 2 x ( x 2 1) 3 / 2 Explanation: By the Product and Chain Rules, f ( x ) = 1 ( x 2 1) 1 / 2 2 x ( x + 2) 2( x 2 1) 3 / 2 = ( x 2 1) x ( x + 2) ( x 2 1) 3 / 2 . Consequently, f ( x ) = 1 + 2 x ( x 2 1) 3 / 2 . (Note: the Quotient Rule could have been used, but it’s simpler to use the Product Rule.) 002 10.0 points Determine f ( x ) when f ( x ) = sec 2 x + 2 tan 2 x . 1. f ( x ) = 6 sec 2 x tan x correct 2. f ( x ) = 6 tan 2 sec x 3. f ( x ) = 2 tan
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