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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 xcoordinate 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.
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3 2011 AP® CALCULUS AB FREERESPONSE 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 eastwest track. The twicedifferentiable 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.
 Spring '13
 Mosby
 Calculus, AP Calculus

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