Results 1 to 2 of 2

Math Help - Second Derivative Interpretation

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Nebraska
    Posts
    8

    Second Derivative Interpretation

    I'm given f''(x) = sin(3x)ln(x+5) - xcos(3x)

    1. List intervals where f(x) concave up & concave down with justification.

    Normally you can find this by getting f''(x) = 0 right? But how do I take that function = 0?
    Last edited by mettler; November 6th 2012 at 11:58 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,865
    Thanks
    744

    Re: Second Derivative Interpretation

    Hello, mettler!

    I've made a few observations . . . that's all.


    I'm given: f''(x) \:=\: \sin(3x)\ln(x+5) - x\cos(3x)

    1. List intervals where f(x) is concave up & concave down with justification.

    Normally you can find this by getting f''(x) = 0, right?
    But how do I take that function = 0?

    Note that the domain is x > \text{-}5

    The equation cannot be solved by elementary means.

    By inspection, we find that x = 0 is a solution.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Interpretation of f'(x)/f(x)
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 30th 2012, 09:00 AM
  2. Interpretation of an Integral
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 4th 2011, 10:21 AM
  3. Interpretation
    Posted in the Statistics Forum
    Replies: 4
    Last Post: April 26th 2011, 06:57 PM
  4. a matter of interpretation
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 16th 2010, 12:11 PM
  5. Replies: 5
    Last Post: January 25th 2010, 09:39 PM

Search Tags


/mathhelpforum @mathhelpforum