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Derivative of Summation

  1. Apr 21, 2009 #1
    Hey,

    I have a general question about summations. Is there any steadfast rule for calculating, or obtaining a sometimes-calculatable function for, the derivative of x, where x is the upper bound of summation in a simple summation expression (the summation of f(n), from n = 1 to x)?

    If not, is there a general procedure that can be followed to obtain solutions to such problems?

    Thanks,
    -Trepidation
     
  2. jcsd
  3. Apr 22, 2009 #2

    mathman

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    Science Advisor
    Gold Member

    The upper bound of a sum is an integer, while x as the argument of a function (with a definable derivative) is a continuous variable. You need to define your problem better.
     
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