This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: white (taw933) – HW15 – benzvi – (55600) 1 This printout should have 19 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine the derivative of f ( x ) = 2 sin − 1 ( x/ 4) . 1. f ′ ( x ) = 4 √ 1 x 2 2. f ′ ( x ) = 2 √ 1 x 2 3. f ′ ( x ) = 2 √ 16 x 2 4. f ′ ( x ) = 4 √ 16 x 2 5. f ′ ( x ) = 8 √ 16 x 2 6. f ′ ( x ) = 8 √ 1 x 2 002 10.0 points Find the derivative of f ( x ) = parenleftBig tan − 1 (2 x ) parenrightBig 2 . 1. f ′ ( x ) = 2 4 + x 2 tan − 1 (2 x ) 2. f ′ ( x ) = sec 2 (2 x ) tan(2 x ) 3. f ′ ( x ) = 2 1 + 4 x 2 tan − 1 (2 x ) 4. f ′ ( x ) = 4 4 + x 2 tan − 1 (2 x ) 5. f ′ ( x ) = 4 sec 2 (2 x ) tan(2 x ) 6. f ′ ( x ) = 4 1 + 4 x 2 tan − 1 (2 x ) 003 10.0 points Determine f ′ ( x ) when f ( x ) = tan − 1 parenleftBig x √ 3 x 2 parenrightBig . ( Hint : first simplify f .) 1. f ′ ( x ) = √ 3 √ 3 x 2 2. f ′ ( x ) = 1 √ 3 x 2 3. f ′ ( x ) = x √ x 2 3 4. f ′ ( x ) = x x 2 + 3 5. f ′ ( x ) = √ 3 √ 3 + x 2 004 10.0 points Find the derivative of f when f ( x ) = 5 tan...
View
Full
Document
This note was uploaded on 12/05/2011 for the course M 408k taught by Professor Schultz during the Spring '08 term at University of Texas.
 Spring '08
 schultz
 Differential Calculus

Click to edit the document details