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Stationary points

  1. May 3, 2008 #1
    [SOLVED] Stationary points

    1. The problem statement, all variables and given/known data
    Does the funtion g(x) = x + sin(x) have any stationary points on the interval [-5,5], if so where?
    3. The attempt at a solution
    Stationary points is where there is a 0 slope so here is what I did. Just need someone to check to see if this is right.

    g'(x) = 1 + cos(x)
    cos(x) = -1

    So for the answer I got two stationary points at pi and -pi.
     
  2. jcsd
  3. May 3, 2008 #2

    exk

    User Avatar

    Looks fine to me. Note that pi and -pi are in fact in your interval.
     
  4. May 3, 2008 #3
    yes, thanks.
     
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