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Trying to derive this but has multiple absolute values

  1. Nov 18, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the Local and absolute extrema of f(x) on the interval [-1,2] and give a sketch of the graph if:

    f(x) = [ 1 / (1 + |x|) ] + [ 1 / (1 + |x - 1|) ]

    I am confused about the absolute value parts. I know they're the versions inside the absolute value signs when >0 and the negative of the inside when < 0 but I'm not sure how to start this derivative.

    Help would be appreciated. Thanks.
  2. jcsd
  3. Nov 18, 2008 #2


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    Staff Emeritus
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    If you can't study both cases together, then study each case separately.
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