Results 1 to 3 of 3

Math Help - concave up and concave down

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    7

    concave up and concave down

    How do I determine whether there is a upward concavity or downward concavity?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    676
    Thanks
    19
    Quote Originally Posted by xxju1anxx View Post
    How do I determine whether there is a upward concavity or downward concavity?
    Use the second derivative test. This will help:

    Pauls Online Notes : Calculus I - The Shape of a Graph, Part II
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by xxju1anxx View Post
    How do I determine whether there is a upward concavity or downward concavity?


    If the function is double derivable over an interval then second derivative positive ==> concave upwards, and 2nd derivative negative ==> downwards.

    If there is no 2nd derivative then by inspection, I believe...

    Tonio
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: July 27th 2011, 09:55 PM
  2. Replies: 1
    Last Post: August 24th 2010, 07:06 AM
  3. Concave up concave down
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 20th 2010, 10:25 AM
  4. concave
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 14th 2008, 08:28 PM
  5. Increasing/Decreasing/Concave up/ concave down
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 16th 2008, 05:43 PM

Search Tags


/mathhelpforum @mathhelpforum