A find the x coordinate of the critical point of f

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Unformatted text preview: nd for which it is known that f ¢( x ) = (4 - x ) x -3 for x > 0. (a) Find the x-coordinate of the critical point of f. Determine whether the point is a relative maximum, a relative minimum, or neither for the function f. Justify your answer. (b) Find all intervals on which the graph of f is concave down. Justify your answer. (c) Given that f (1) = 2, determine the function f. WRITE ALL WORK IN THE EXAM BOOKLET. © 2011 The College Board. Visit the College Board on the Web: www.collegeboard.org. GO ON TO THE NEXT PAGE. -3- 2011 AP® CALCULUS AB FREE-RESPONSE QUESTIONS (Form B) t (seconds) 0 v (t ) (meters per second) 40 60 100 136 B(t ) (meters) 10 9 49 2.0 2.3 2.5 4.6 5. Ben rides a unicycle back and forth along a straight east-west track. The twice-differentiable function B models Ben’s position on the track, measured in meters from the western end of the track,...
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This note was uploaded on 09/06/2013 for the course MATH AP Calculu taught by Professor Mosby during the Spring '13 term at Silverton High School, Silverton.

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