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Homework Help: Max Extrema and Point of Inflection

  1. Sep 18, 2010 #1
    1. find the extremas and points of inflections

    2. g(t)= 1+(2+t)e^(-t)

    3. So i know you need to find g(t)' and g(t)''

    g(t)'= -e^(-t)(1+t)
    g(t)''= (t)e^(-t)

    my critical point is t=-1 (max) and my point of inflection is t=o

    How do I get to max extrema being (-1, 1+e) and point of inflection (0,3)? Thank you very much!
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 18, 2010 #2
    You've only given the x-coordinates of your critical point and point of inflection. The actual point is (t, g(t)). In other words you need to plug the values for t you have into the original function to get the corresponding y-coordinate.
  4. Sep 18, 2010 #3
    Thank you so much! I knew it wasnt hard... I just couldnt figure it out. Thanks again!
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