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burhan101

Help me find the derivative of this function

  • 10 months ago
  • 10 months ago

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  1. burhan101
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    \[\huge A(t)= 20\sin^2(\frac{ t }{ 1000\pi })\]

    • 10 months ago
  2. bahrom7893
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    Use power + chain rules

    • 10 months ago
  3. bahrom7893
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    This is a very straightforward question.

    • 10 months ago
  4. burhan101
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    |dw:1371609626141:dw|

    • 10 months ago
  5. burhan101
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    like that?

    • 10 months ago
  6. bahrom7893
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    you forgot the final chain rule

    • 10 months ago
  7. primeralph
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    |dw:1371609898205:dw|

    • 10 months ago
  8. burhan101
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    @bahrom7893 what do you mean?

    • 10 months ago
  9. bahrom7893
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    |dw:1371610057029:dw|

    • 10 months ago
  10. primeralph
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    |dw:1371610058623:dw|

    • 10 months ago
  11. burhan101
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    @bahrom7893 wait i dont get it tho, why the extra fraction :S

    • 10 months ago
  12. bahrom7893
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    derivative of |dw:1371610223598:dw|

    • 10 months ago
  13. bahrom7893
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    |dw:1371610328327:dw|

    • 10 months ago
  14. burhan101
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    |dw:1371610801029:dw| @bahrom7893

    • 10 months ago
  15. bahrom7893
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    Noooo

    • 10 months ago
  16. Abhishek619
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    |dw:1371610749100:dw|

    • 10 months ago
  17. bahrom7893
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    Guys stop confusing him. Burhan, your first answer was right. You just forgot to add in that fraction.

    • 10 months ago
  18. burhan101
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    How do i simplify further ?

    • 10 months ago
  19. bahrom7893
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    just use algebra, cancel out some fractions.

    • 10 months ago
  20. burhan101
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    howww im really confused !!

    • 10 months ago
  21. burhan101
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    The answer key says it should be \[\huge A'(t) = \frac{ 1 }{ 50\pi }\sin (\frac{ t }{ 50\pi })\]

    • 10 months ago
  22. burhan101
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    @bahrom7893

    • 10 months ago
  23. bahrom7893
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    2Sin(x)Cos(x) = ? (double angle formula)

    • 10 months ago
  24. burhan101
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    if i just simplify that fraction to 'x' then =20((2sinx)(cosx)(x)) =20(xsinx)

    • 10 months ago
  25. primeralph
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    .just use what I gave if you're still confused....

    • 10 months ago
  26. bahrom7893
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    |dw:1371612098284:dw|

    • 10 months ago
  27. bahrom7893
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    so according to our calculations, the answer should be: |dw:1371612290008:dw| which seemed right. the book might have a typo

    • 10 months ago
  28. primeralph
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    ........which is what I said 40 minutes ago........ |dw:1371612421231:dw|

    • 10 months ago
  29. bahrom7893
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    lol

    • 10 months ago
  30. burhan101
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    thanks both !@bahrom7893 @primeralph

    • 10 months ago
  31. primeralph
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    You're very welcome.

    • 10 months ago
  32. bahrom7893
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    np my friend :)

    • 10 months ago
  33. burhan101
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    b) What is the first value of t greater than 0 for which the derivative is equal to 0?

    • 10 months ago
  34. burhan101
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    @primeralph

    • 10 months ago
  35. bahrom7893
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    set the derivative equal to 0, then check the signs nearby

    • 10 months ago
  36. burhan101
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    @primeralph what does that mean ^ ?

    • 10 months ago
  37. primeralph
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    for it to equal zero, you have to shift t by the period pi

    • 10 months ago
  38. primeralph
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    |dw:1371615489438:dw|

    • 10 months ago
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