Results 1 to 2 of 2

Math Help - Increasing/Decreasing

  1. #1
    Banned
    Joined
    Aug 2008
    Posts
    530

    Increasing/Decreasing

    For x>0, f is a function that

    f'(x)=\frac{\ln x}{x},\;\; f''(x)=\frac{1-\ln x}{x^2}

    Which of the following is true?

    (a) f is decreasing for x>1, and graph of f is concave down for x>e
    (b) f is decreasing for x>1, and graph of f is concave up for x>e
    (c) f is increasing for x>1, and graph of f is concave down for x>e
    (d) f is increasing for x>1, and graph of f is concave up for x>e
    (e) f is increasing for 0<x<e, and graph of f is concave down for 0<x<e^{\frac{3}{2}}
    Last edited by Shyam; April 16th 2009 at 07:13 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    Consider the graph of ln(x)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. increasing and decreasing functions
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 15th 2010, 03:11 AM
  2. increasing or decreasing
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 14th 2009, 08:02 PM
  3. Increasing/Decreasing and Abs Max and Min
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 28th 2009, 06:57 PM
  4. Replies: 2
    Last Post: March 19th 2009, 05:12 PM
  5. increasing decreasing
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 6th 2007, 02:29 PM

Search Tags


/mathhelpforum @mathhelpforum