Results 1 to 2 of 2

Math Help - Derivative With Logs

  1. #1
    Newbie
    Joined
    Oct 2011
    Posts
    1

    Derivative With Logs

    Hey I'm having trouble finding the derivative of problems that involve natural logs,

    This is the problem i'm currently stuck on: y= (1+ ln x)/x^2
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,589
    Thanks
    1445

    Re: Derivative With Logs

    Quote Originally Posted by Chuglife View Post
    Hey I'm having trouble finding the derivative of problems that involve natural logs,

    This is the problem i'm currently stuck on: y= (1+ ln x)/x^2
    You should know that \displaystyle \frac{d}{dx}\left(\ln{x}\right) = \frac{1}{x}.

    In this case, you would need to use the quotient rule.

    \displaystyle \frac{d}{dx}\left(\frac{1+\ln{x}}{x^2}\right) = \frac{x^2\,\frac{d}{dx}\left(1 + \ln{x}\right) - \left(1 + \ln{x}\right)\frac{d}{dx}\left(x^2\right)}{\left(x  ^2\right)^2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 9
    Last Post: February 22nd 2011, 05:39 PM
  2. derivative with natural logs.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: May 4th 2010, 02:05 PM
  3. Help finding derivative of logs
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 6th 2010, 09:40 AM
  4. Derivative With Natural Logs
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 17th 2010, 02:55 PM
  5. Second derivative concerning logs
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 5th 2009, 07:33 PM

Search Tags


/mathhelpforum @mathhelpforum