Consider the function on the interval (0, 2n). f(x) = 3x + 6 sin(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: 0, 2л 4л 3 3 미 (쓸) 2n O none of these Decreasing: o (0,) 2π 4π 3 O none of these (b) Apply the First Derivative Test to identify all relative extrema. relative maximum (x, y) relative minimum (x, y) = (

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Consider the function on the interval (0, 2x).
f(x)
3x + 6 sin(x)
(a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.)
Increasing:
(0 플)
2n
3
3
3
2n
3
O none of these
Decreasing:
(0.-
2π 4π
3
3
( 2)
3
none of these
(b) Apply the First Derivative Test to identify all relative extrema.
relative maximum (x, y) = (
relative minimum (x, y) = (
Transcribed Image Text:Consider the function on the interval (0, 2x). f(x) 3x + 6 sin(x) (a) Find the open intervals on which the function is increasing or decreasing. (Select all that apply.) Increasing: (0 플) 2n 3 3 3 2n 3 O none of these Decreasing: (0.- 2π 4π 3 3 ( 2) 3 none of these (b) Apply the First Derivative Test to identify all relative extrema. relative maximum (x, y) = ( relative minimum (x, y) = (
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