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Question about derivatives and continuous

  1. Dec 4, 2008 #1
    Why is it that every continuous function is a derivative?
    I know that not every derivative is continuous, I just don't know really know why we would know that every continuous function is a derivative. I think is has something to do with the integral, but I don't know how. Any help?
     
  2. jcsd
  3. Dec 4, 2008 #2
    Fundamental Theorem of Calculus
     
  4. Dec 4, 2008 #3
    Specifically, every continuous function is integrable, so it is the derivative of some indefinite integral of itself.
     
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