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Homework Help: Differentiate heavy side function

  1. Oct 25, 2014 #1
    1. The problem statement, all variables and given/known data
    find points where function is differentiable
    http://puu.sh/cqrc8/f96bd06aee.png [Broken]
    2. Relevant equations
    H(x) = 1, x >= 0
    H(x) = 0, x < 0

    3. The attempt at a solution
    i Draw a number line and see where the function would change or jump. and immediately i noticed that the function would not be continous on x=0 and x=2 since that is when the function jumps.
    http://puu.sh/cqrBE/44b7fe56ff.png [Broken]
    however i don't see any other discontinuities in the function. if so then what is the last note for??? Am i completely missing the point in this question here??
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Oct 25, 2014 #2


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    Science Advisor
    Homework Helper
    Gold Member

    Does it jump at 2? Btw, in your posted working you left out an x in the exponent of f' for x > 2.
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