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VIbarguen1 Group Title

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

  • 9 months ago
  • 9 months ago

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  1. satellite73 Group Title
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    did you take the derivative?

    • 9 months ago
  2. VIbarguen1 Group Title
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    Yep I got f'(x) = 2 sin(x) cos (2x) + 5 /cos (2x)-3 )^2

    • 9 months ago
  3. VIbarguen1 Group Title
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    it is so long im not sure its right

    • 9 months ago
  4. VIbarguen1 Group Title
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    @satellite73

    • 9 months ago
  5. VIbarguen1 Group Title
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    @RaphaelFilgueiras

    • 9 months ago
  6. RaphaelFilgueiras Group Title
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    |dw:1389408369353:dw|

    • 9 months ago
  7. VIbarguen1 Group Title
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    could you help me solve that I have no idea how

    • 9 months ago
  8. RaphaelFilgueiras Group Title
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    use sin²(x)+cos²(x)=1-> cos²(x)=1-sin²(x), and then you will have only sin x in your equations

    • 9 months ago
  9. RaphaelFilgueiras Group Title
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    |dw:1389408745656:dw|

    • 9 months ago
  10. VIbarguen1 Group Title
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    raphael i'm sorry i am not following, where did the Z come from? and how does that get me to the extrema?

    • 9 months ago
  11. RaphaelFilgueiras Group Title
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    Z means k belong to the interger set,it's just a generical ans

    • 9 months ago
  12. RaphaelFilgueiras Group Title
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    x= 0 and 2 pi will be your solutions

    • 9 months ago
  13. RaphaelFilgueiras Group Title
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    and pi

    • 9 months ago
  14. VIbarguen1 Group Title
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    is that my min and max solutions?

    • 9 months ago
  15. VIbarguen1 Group Title
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    and it would be decreasing because its positive right?

    • 9 months ago
  16. RaphaelFilgueiras Group Title
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    min x= pi max are both x=0 and 2pi

    • 9 months ago
  17. VIbarguen1 Group Title
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    ok got it

    • 9 months ago
  18. RaphaelFilgueiras Group Title
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    when sin(x)> 0 it will be decreasing x in]0,pi[ when sinx(x)<0 it will be increasing x in ]pi,2pi[

    • 9 months ago
  19. RaphaelFilgueiras Group Title
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    decreasing f'<0 increasing f'>0

    • 9 months ago
  20. VIbarguen1 Group Title
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    thank you so much

    • 9 months ago
  21. RaphaelFilgueiras Group Title
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    you are welcome

    • 9 months ago
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