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Math Help - function is periodic

  1. #1
    Newbie
    Joined
    Apr 2010
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    16

    function is periodic

    If a function is periodic with a period of K, then its derivative is periodic with the same period K.

    A.
    Mostly false, but is true once in awhile

    B.
    Mostly true, there are a few exceptions

    C.
    Always false, 100% of the time.

    D.
    Always True, 100% of the time

    I selected B but was incorrect. I am leaning towards A on this one.
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  2. #2
    Super Member
    Joined
    Aug 2009
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    Israel
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    976
    Let x \in \mathbb{R}.
    What is f'(x+K) =\lim_{h \to 0} \frac{f(x+K+h) - f(x+K)}{h}?
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