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exam2_fa07 - Name TA Math 20A Midterm Exam 2 Sec No PID Sec...

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Name: PID: TA: Sec. No: Sec. Time: Math 20A. Midterm Exam 2 November 15, 2007 Turn of and put away your cell phone. No calculators or any other electronic devices are allowed during this exam. You may use one page oF notes, but no books or other assistance during this exam. Read each question careFully, and answer each question completely. Show all oF your work; no credit will be given For unsupported answers. Write your solutions clearly and legibly; no credit will be given For illegible solutions. IF any question is not clear, ask For clari±cation. 1. (3 points) Use logarithmic diferentiation to compute the derivative oF f ( x )= cos(2 x )( x 2 + 1) e 2 x 2 x . # Points Score 1 3 2 4 3 6 4 6 5 6 Σ 25
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2. (4 points) Suppose that f ( x ) and g ( x ) are diferentiable Functions satisFying f (2) = 5 ,g (2) = 4 ,f ± (2) = - 3 ± (2) = 9 , f (4) = 3 (4) = 2 ± (4) = - 2 ± (4) = 3 . ±ind the derivative oF each oF the Following Functions at x = 2. (a) G ( x )= f ( g (2 x )) (b) H ( x f ( x 2 ) g ( x )
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3. (6 points) Find f ± ( x ) for each of the following: (a) f ( x ) = log 3 (2 x 3 + 7) (b) f ( x ) = tan
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exam2_fa07 - Name TA Math 20A Midterm Exam 2 Sec No PID Sec...

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