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140Bquiz10c - 1 MATH 140B QUIZ#10 Date For the first 2...

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1 MATH 140B QUIZ#10 Date: Nov 26, 2007 For the first 2 questions, you may need to use logarithm properties, and you may need to simplify your answer. [ 2 ] 1. Which of the following 3 derivatives are correct? i) If y = [ln( x 2 )] 2 , then y = 4 ln x x . ii) If y = sin 3 [(ln( 4 x )] , then y = 3 sin 2 ( 1 2 ln 4 x ) · cos ( 1 2 ln 4 x ) · 1 8 x . iii) If y = e csc 2 (3 x ) then y = - e csc 2 (3 x ) · csc(3 x ) cot(3 x ) A) i) only B) ii) only C) i) and iii) only D) i) and ii) only E) None of these listed answers A)-D) is correct. [ 2 ] 2. Which of the following 3 derivatives are correct? i) If y = ln parenleftbigg cos x e 2 x - 1 parenrightbigg , then y = 1 2 tan x - 2 e 2 x e 2 x - 1 . ii) y = ln( e x - x ) , then y = 1 - 1 x . iii) If y = ln( radicalbig 1 /x ) , then y = - 1 2 x . A) i) only B) iii) only C) i) and iii) only D) ii) and iii) only E) None of these listed answers A)-D) is correct. [ 2 ] 3. Which of the following 3 derivatives are correct? i) The domain of y = ln( x 2 - 1) is the set of a x in the interval (1 , ) .
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