Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = 2 sin2x on [-1,1) Find f'(x). f'(x) = Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is increasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Type exact answers, using x as needed. Use a comma to separate answers as needed.) and decreasing on the open interval(s) OB. The function is increasing on the open interval(s) The function is never decreasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using x as needed. Use a comma to separate answers as needed.) O C. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using x as needed. Use a comma to separate answers as needed.) O D. The function is never increasing or decreasing.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Find the intervals on which f is increasing and the intervals on which it is decreasing.
f(x) = 2 sin²x on [-1,1]
1?x on [-,]
Find f'(x).
f'(x) =
%3D
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The function is increasing on the open interval(s)
and decreasing on the open interval(s)
(Simplify your answers. Type your answers in interval notation. Type exact answers, using a as needed. Use a comma to separate answers as needed.)
O B. The function is increasing on the open interval(s)
The function is never decreasing.
(Simplify your answer. Type your answer in interval notation. Type exact answers, using t as needed. Use a comma to separate answers as needed.)
OC. The function is decreasing on the open interval(s) The function is never increasing.
(Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.)
O D. The function is never increasing or decreasing.
Transcribed Image Text:Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = 2 sin²x on [-1,1] 1?x on [-,] Find f'(x). f'(x) = %3D Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function is increasing on the open interval(s) and decreasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Type exact answers, using a as needed. Use a comma to separate answers as needed.) O B. The function is increasing on the open interval(s) The function is never decreasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using t as needed. Use a comma to separate answers as needed.) OC. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Type your answer in interval notation. Type exact answers, using n as needed. Use a comma to separate answers as needed.) O D. The function is never increasing or decreasing.
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