A community for students.
Here's the question you clicked on:
 0 viewing
VIbarguen1
 one year ago
Cal help?
find the intervals for which f is increasing or decreasing and locate all relative extrema on (0,2pi).
f(x)= cos x / 1 + sin ^ 2x
VIbarguen1
 one year ago
Cal help? find the intervals for which f is increasing or decreasing and locate all relative extrema on (0,2pi). f(x)= cos x / 1 + sin ^ 2x

This Question is Closed

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0did you take the derivative?

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0Yep I got f'(x) = 2 sin(x) cos (2x) + 5 /cos (2x)3 )^2

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0it is so long im not sure its right

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1dw:1389408369353:dw

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0could you help me solve that I have no idea how

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1use sin²(x)+cos²(x)=1> cos²(x)=1sin²(x), and then you will have only sin x in your equations

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1dw:1389408745656:dw

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0raphael i'm sorry i am not following, where did the Z come from? and how does that get me to the extrema?

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1Z means k belong to the interger set,it's just a generical ans

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1x= 0 and 2 pi will be your solutions

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0is that my min and max solutions?

VIbarguen1
 one year ago
Best ResponseYou've already chosen the best response.0and it would be decreasing because its positive right?

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1min x= pi max are both x=0 and 2pi

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1when sin(x)> 0 it will be decreasing x in]0,pi[ when sinx(x)<0 it will be increasing x in ]pi,2pi[

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1decreasing f'<0 increasing f'>0

RaphaelFilgueiras
 one year ago
Best ResponseYou've already chosen the best response.1you are welcome
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.