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Finding Where F is concave up/down using the graph of the first derivative

  1. Mar 28, 2010 #1
    1. I need to find where the graph of f is CU or CD given the graph of f ' .

    2. So far I have found that F inc. on (2,4) and (6,9). F has a local max at 4. F has a local min at 2 and 6.
  2. jcsd
  3. Mar 28, 2010 #2
    When f' is increasing, i.e. when f''>0, f is concave up, and conversely.
  4. Mar 28, 2010 #3
    you have to find f '' then you can judge concavity
    if f'' is bigger than 0 then it's concave up if f'' is smaller than 0 than it is concave down
    Last edited: Mar 28, 2010
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