# A find the x coordinate of the critical point of f

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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,...
View Full Document

## 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.

Ask a homework question - tutors are online