Graph the following functions with Desmos or by hand. Ide umbers and determine which are stationary points (relativ econd derivative to determine if the stationary points (relati elative minimums or maximums. 7. - g(t) = (4- t2)3 rst derivative %3D critical numbers

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Graph the following functions with Desmos or by hand. Identify any critical
numbers and determine which are stationary points (relative extrema). Use the
second derivative to determine if the stationary points (relative extrema) are
relative minimums or maximums.
1. g(t) = (4 – t2)ś
first derivative
%3D
critical numbers
stationary points (relative extrema)
second derivative
second derivative test on stationary points
relative minimums
relative maximums
L-L
L-I
L.
L.L
-T-
J-J-J-L
L L L-L-
L-L L LLL
3.
%3D
%3D
中ー
會 个~个ー寸ー ー ー
TTT
TITIT
L-L-L -L-L- L-L-L
J-L-LL LL
Transcribed Image Text:Graph the following functions with Desmos or by hand. Identify any critical numbers and determine which are stationary points (relative extrema). Use the second derivative to determine if the stationary points (relative extrema) are relative minimums or maximums. 1. g(t) = (4 – t2)ś first derivative %3D critical numbers stationary points (relative extrema) second derivative second derivative test on stationary points relative minimums relative maximums L-L L-I L. L.L -T- J-J-J-L L L L-L- L-L L LLL 3. %3D %3D 中ー 會 个~个ー寸ー ー ー TTT TITIT L-L-L -L-L- L-L-L J-L-LL LL
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