Ask
your own question, for FREE!
Mathematics
31 Online
Find the critical numbers of the function on the interval 0 ≤ θ < 2π. f(θ) = 2cos(θ) + (sin(θ))^2??
Still Need Help?
Join the QuestionCove community and study together with friends!
To find critical numbers you want to take the derivative and set it equal to 0. f(θ) = 2cos(θ) + (sin(θ))^2 f '(θ) = -2sin(θ) + 2sin(θ)cos(θ)
by critical number you mean the angle?
yea it is just cos and sin is what gets me. they confuse me.
critical numbers are where f'(x) is either 0 or undefined, so first we need the derivative using the chain rule: f'(x)=-2sinx+2sinx(cosx)=0 cosx=1 x=2(pi)n where n=0,1,2,...
0 = -2sin(θ) + 2sin(θ)cos(θ) 0 = 2sin(θ)(-1 + cos(θ)) So you either want cos(θ) = 1 or sin(θ)=0
Still Need Help?
Join the QuestionCove community and study together with friends!
cos(θ) = 1 at θ = π/2 or sin(θ)=0 at θ = 0, π The critical values should be 0, π/2, and π
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
Subshilava:
I have an issue my mom bought me a 3d cat mold from tj maxx and everytime I fill
1UPSA:
CAN YALL RATE MY SONG https://www.youtube.com/watch?v=b9QtAeJPeOM&list=RDMMnhCC1y
ShikuniShigana:
Alright so. I need some art ideas, or Drawing design ideas for this Character im doing, He's Kinda like based off Vita Carnis+Shefki Shin+Death Angel(From Q
gelphielvr:
hello :] I have to make a model for my biology class for either topic "evolution"
SnowyBreaks:
Question for the staff here, Could you possibly change my name. I'll dm the name
SsTDOGRednek:
Could someone read my essay and give me some criticism?
Yosad930:
still speed studying for dual enrollment macroeconomics, and a few quick question
gelphielvr:
I have a presentation to do In Front of like 50 people does anyone have any tips
2 hours ago
14 Replies
1 Medal
7 hours ago
3 Replies
0 Medals
9 hours ago
16 Replies
2 Medals
11 hours ago
15 Replies
2 Medals
1 day ago
2 Replies
0 Medals
7 hours ago
39 Replies
4 Medals
1 day ago
5 Replies
1 Medal
1 day ago
6 Replies
1 Medal