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rachna Group Title

Determine if (y=tan x + sec x) has any maximums or minimums for -pi/2 < x < pi/2 and justify your answer.

  • 2 years ago
  • 2 years ago

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  1. amitlpu91 Group Title
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    jst take dy/dx

    • 2 years ago
  2. badreferences Group Title
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    y'=sec(x)^2+sin(x), y'=0 when sec(x)^2=-sin(x), solve, profit!

    • 2 years ago
  3. rachna Group Title
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    thanks!!

    • 2 years ago
  4. rachna Group Title
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    wait how dou get sin(x)??

    • 2 years ago
  5. badreferences Group Title
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    Oh, sin(x) was my mistake.

    • 2 years ago
  6. badreferences Group Title
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    Apparently, I'm still bad at calculus. XP It should be (sin(x))(cos(x)^-2).

    • 2 years ago
  7. rachna Group Title
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    i thought derivative of sec x is sec x tan x

    • 2 years ago
  8. amitlpu91 Group Title
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    yea........

    • 2 years ago
  9. badreferences Group Title
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    sin(x)/cos(x)^2=tan(x)/cos(x)=tan(x)sec(x)

    • 2 years ago
  10. badreferences Group Title
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    Same thing. I just didn't remember it, I had to prove it out.

    • 2 years ago
  11. rachna Group Title
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    ok so what i do now after i got the derivative ??

    • 2 years ago
  12. badreferences Group Title
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    sec(x)^2+tan(x)sec(x)=y'=0, tan(x)+1=0, tan(x)=-1, x=arctan(-1)

    • 2 years ago
  13. badreferences Group Title
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    Woops, my bad. Wait a sec.

    • 2 years ago
  14. badreferences Group Title
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    (sec(x)+tan(x))=0, tan(x)=-sec(x)

    • 2 years ago
  15. badreferences Group Title
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    there we go. when do tan(x) and -sec(x) intersect?

    • 2 years ago
  16. rachna Group Title
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    wait a minute i need to look at unit circle, i dont have those memorized

    • 2 years ago
  17. badreferences Group Title
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    sin(x)/cos(x)=-1/cos(x), sin(x)=-1 when is this true?

    • 2 years ago
  18. rachna Group Title
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    i think 3pi/4, 7pi/4

    • 2 years ago
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