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Math Help - Derivative function as a periodic function but primitive function not periodic one

  1. #1
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    Derivative function as a periodic function but primitive function not periodic one

    Hi,

    I have a problem to figure out an example of primitive (antiderivative) function (as much simple as possible) which is NOT periodic function that is f(x+T)!=f(x) (where T is a period)
    but it's derivative IS a periodic one.
    I can proof the opposite case (use definition of derivative) if f(x) is periodic then it's derivative is also periodic, but according to a book which I'm studing now,
    the opposite direction need not be true.

    Thanks for help,

    jeel
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  2. #2
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    Re: Derivative function as a periodic function but primitive function not periodic on

    What about sin(x) + 1?
    Thanks from jeel
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  3. #3
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    Re: Derivative function as a periodic function but primitive function not periodic on

    Thanks, sometimes the simplest things are the hardest to grasp, of course definitely this is such kind of a function.

    emakarov, thank you very much !!!
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