Consider the function on the interval (0, 2x). f(z) = 5 + cos(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: 0, (중똥) T 57 6 57 2n Onone of these Decreasing: '(0. 풍) (등 똥) O (, 24) 57 Onone of these (b) Apply the First Derivative Test to identify the relative extrema. V3 2 relative maximum (х, у) %3D 6' 12 5n 5n V3 relative minimum (x, y) = 6' 12 2 (C) Use a graphina utility to confirm VOur results

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Consider the function on the interval (0, 2x).
f(x) =5+ cos(r)
2
(a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.)
Increasing:
5л
2n
6
Onone of these
Decreasing:
(0. 5)
IT
IT
6.
6.
(똥 2)
1-
6
Onone of these
(b) Apply the First Derivative Test to identify the relative extrema.
V3
+
2
relative maximum
(х, у) -
6' 12
(-号)
5n 57
V 3
relative minimum
(х, у) 3
6 ' 12
2
(c) Use a graphing utility to confirm your results.
Transcribed Image Text:Consider the function on the interval (0, 2x). f(x) =5+ cos(r) 2 (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: 5л 2n 6 Onone of these Decreasing: (0. 5) IT IT 6. 6. (똥 2) 1- 6 Onone of these (b) Apply the First Derivative Test to identify the relative extrema. V3 + 2 relative maximum (х, у) - 6' 12 (-号) 5n 57 V 3 relative minimum (х, у) 3 6 ' 12 2 (c) Use a graphing utility to confirm your results.
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