Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -5 sin ²x on [-л,π] Find f'(x). f'(x) = 10 cos x sin x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. C OA. 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 as needed. Use a comma to separate answers as needed.) 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 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 as needed. Use a comma to separate answers as needed.) OD. The function is never increasing or decreasing.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Find the intervals on which f is increasing and the intervals on which it is decreasing.
f(x) = -5 sinx on [-л,π]
Find f'(x).
f'(x) = -10 cos x sin x
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
C---
OA. 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 as needed. Use a comma to separate answers as needed.)
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 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 as needed. Use a comma to separate answers as needed.)
OD. 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) = -5 sinx on [-л,π] Find f'(x). f'(x) = -10 cos x sin x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. C--- OA. 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 as needed. Use a comma to separate answers as needed.) 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 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 as needed. Use a comma to separate answers as needed.) OD. The function is never increasing or decreasing.
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