Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 10 - Section 10.5 - Derivatives: Numerical and Graphical Viewpoints - Exercises - Page 752: 26

Answer

a. P b. Q c. R

Work Step by Step

At P, the graph momentarily neither rises nor descends (slope=0) At Q, it rises (tangent slope is positive) At R, it rises (tangent slope is positive) The slope at R is less steep than at Q (both are positive) then, the slope at R is 1, and at Q, it is 3) So, we arrive at the answers: a. P : slope 0 b. Q : greater of the two positive slopes, (3 and 1) c. R : smaller of the two positive slopes, (3 and 1)
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