minecraftknowsall
minecraftknowsall minecraftknowsall
  • 16-12-2021
  • Mathematics
contestada

Find the x-coordinates where f '(x) = 0 for f(x) = 2x – sin(2x) in the interval [0, 2π].

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 16-12-2021

Answer:

0; π and 2π.

Step-by-step explanation:

1) if f(x)=2x-sin2x, then f'(x)=2-2cos2x;

2) if f'(x)=0, then 2-2cos2x=0,

cos2x=1; ⇒ x=πn, n∈Z;

3) if the given interval is [0;2π] and x=πn (n∈Z), then x=0; π; 2π.

Answer Link

Otras preguntas

What is the range of function gif g(x) = -2/(x) + 1 OA. (-2, 0) OB. (0,0) OC. (-0,2) OD. (-0,1)
How do you show this on a graph?
Answer the question, don't mind the highlighted one
PLS HELP!! I'M ON A TIME!! Sid has a water dispenser in his refrigerator as shown in the figure. A prism has a length of 4 inches, height of 14 inches, and widt
what is meant by lingual diversity?​
Use the following data set to answer question 8: 13, 19, 7, 12, 21, 18, 15 8.Predict how the mean will change if the 7 is deleted from the data set. C
In what ways were the Western powers' treatment of Japan and Germany after World War I similar?
please help!!(ノ◕ヮ◕)ノ*:・゚✧will mark brainliest!!!
what is the projected population for 2015
Julie read To Kill a Mockingbird and Romeo and Juliet, the assigned literature for English I, and decided to write a short narrative with a theme related to par