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Piecewise functions

  • Thread starter jaejoon89
  • Start date
  • #1
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Homework Statement



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


Homework Equations



(see equations above)

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.
 

Answers and Replies

  • #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?
 
  • #3
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I looked in my book and lecture notes - they don't say!
 
  • #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?
 
  • #5
33,634
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Or maybe piecewise differentiable
 
  • #6
HallsofIvy
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That would be my guess.
 

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