Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 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

  • This Question is Closed
  1. satellite73
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    did you take the derivative?

  2. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yep I got f'(x) = 2 sin(x) cos (2x) + 5 /cos (2x)-3 )^2

  3. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    it is so long im not sure its right

  4. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @satellite73

  5. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @RaphaelFilgueiras

  6. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1389408369353:dw|

  7. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    could you help me solve that I have no idea how

  8. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    use sin²(x)+cos²(x)=1-> cos²(x)=1-sin²(x), and then you will have only sin x in your equations

  9. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1389408745656:dw|

  10. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    raphael i'm sorry i am not following, where did the Z come from? and how does that get me to the extrema?

  11. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Z means k belong to the interger set,it's just a generical ans

  12. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    x= 0 and 2 pi will be your solutions

  13. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    and pi

  14. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    is that my min and max solutions?

  15. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and it would be decreasing because its positive right?

  16. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    min x= pi max are both x=0 and 2pi

  17. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok got it

  18. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    when sin(x)> 0 it will be decreasing x in]0,pi[ when sinx(x)<0 it will be increasing x in ]pi,2pi[

  19. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    decreasing f'<0 increasing f'>0

  20. VIbarguen1
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thank you so much

  21. RaphaelFilgueiras
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    you are welcome

  22. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.