140Bquiz6c

# 140Bquiz6c - 1 MATH 140B QUIZ#6 Date Mon 2 1 Suppose y = f...

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Unformatted text preview: 1 MATH 140B QUIZ#6 Date: Mon Oct 10, 2007 [ 2 ] 1. Suppose y = f ( x ) and y = g ( x ) are differentiable functions. The values of the functions f, g, f ′ and g ′ at certain x-values are given in the table below. x − 1 4 f ( x ) − 2 3 1 g ( x ) 4 − 3 2 f ′ ( x ) − 1 2 5 g ′ ( x ) − 3 − 2 Which of the following 3 statements are correct? i) ( f · g ) ′ (0) = − 6 ii) ( f/g ) ′ (4) = 2 iii) ( f ◦ g ) ′ ( − 1) = 15 A) i) only B) ii) only C) i) and ii) only D) ii) and iii) only E) None of the 3 statements are true. [ 2 ] 2. The graph of a function f, defined on the interval ( − 3 , 5) , is pictured below. Which of the following 3 statements are correct? Minus 2 2 4 0.5 1.0 1.5 i) A local minimum occurs at x = 1 and local maxima occur at x = 0 and x = 2 . ii) This function has infinitely many critical points. iii) Local minima occur all all x in the interval (2 , 5) ....
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140Bquiz6c - 1 MATH 140B QUIZ#6 Date Mon 2 1 Suppose y = f...

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