Consider the graph to the right. 14 7 a) How many times does the function have a derivative = 0? How do you know? Position (meters) 13 12 11 10 + b) State the sign of the first and second derivatives at the following times. i) t = 3 s 4 ii) t = 7 s iii) t = 10 s 1+ 6 9 10 11 12 13 14 Time (seconds)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Question
Consider the graph to the right.
14 y
a) How many times does the function have a
derivative = 0? How do you know?
Position (meters)
13
12
11+
10
7-
6-
b) State the sign of the first and second derivatives at
the following times.
i) t = 3 s
4-
ii) t = 7s
iii) t = 10 s
%3D
3-
2.
4
10
11 12 13 14
Time (seconds)
-2+
Transcribed Image Text:Consider the graph to the right. 14 y a) How many times does the function have a derivative = 0? How do you know? Position (meters) 13 12 11+ 10 7- 6- b) State the sign of the first and second derivatives at the following times. i) t = 3 s 4- ii) t = 7s iii) t = 10 s %3D 3- 2. 4 10 11 12 13 14 Time (seconds) -2+
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