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Piecewise functions

  1. Feb 11, 2009 #1
    1. The problem statement, all variables and given/known data

    Which are in C_p (0, pi) and/or in C ' _p (0, pi)?

    f(x) = {x if 0 < x < pi/2, pi-x if pi/2 < x < pi
    g(x) = {sqrt(x) if 0 < x < pi/3, (pi-x)^2 if pi/3 < x < pi
    h(x) = {x if 0 < x < pi/2, ln(pi-x) if pi/2 < x < pi


    2. Relevant equations

    (see equations above)

    3. The attempt at a solution

    I know C_p means "piecewise continuous" but what is C ' _p? How do you do these??? I've been racking my brain on this, am completely lost.
     
  2. jcsd
  3. Feb 11, 2009 #2

    Dick

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    If you know what piecewise continuous is, that's good. Which are? I have no clue what C'_p means. Can you look it up and tell us?
     
  4. Feb 11, 2009 #3
    I looked in my book and lecture notes - they don't say!
     
  5. Feb 11, 2009 #4

    Dick

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    Then you have perfect justification for not answering the question. Seek clarification. Do you think it might mean differentiable?
     
  6. Feb 12, 2009 #5

    Mark44

    Staff: Mentor

    Or maybe piecewise differentiable
     
  7. Feb 12, 2009 #6

    HallsofIvy

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    That would be my guess.
     
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