# Test2 - the derivative of a mysterious function named f On...

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Name Page 2 of 3 Hour Test 2 Teaching Assistant 27 October 2011 3. (25) Drawn at the left is the graph of
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Unformatted text preview: the derivative of a mysterious function named f . On the right is a blank set of axes. Graph of x d f d a. On what interval(s) is f increasing? Explain your answer. b. On what interval(s) is f decreasing? Explain your answer. c. Tell me the critical point(s) of f , and tell me which are local minima and which are local maxima. Explain your answer. d. For which value(s) of x is ? 2 2 = x d x d Explain your answer. 4. (25) Sketch the region bounded by the parabola 1 2 + = x y and the line 9 2 +-= x y , and calculate the area of this region. Name Page 3 of 3 Hour Test 2 Teaching Assistant 27 October 2011 ANSWERS 1. a. 3-e b. 2-e c. 3 2 d. ) cos( 2 , ) sin( 2 2 x x x 2. 24 ) 2 ( ' ' , 2 <-= = V x 3. a. ) , 2 ( ) , ( ∞ ∞-and b. ) 2 , ( c. By the first derivative test, there is a local maximum at 0 and a local minimum at 2. d. -1 and 1 4. The area is 36...
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Test2 - the derivative of a mysterious function named f On...

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