Results 1 to 3 of 3

Math Help - completely expand the ln function, then find the derivative

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    usa
    Posts
    23

    completely expand the ln function, then find the derivative

    ln(\frac{x}{e^x ln(x)})
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Mar 2012
    From
    Sheffield England
    Posts
    440
    Thanks
    76

    Re: completely expand the ln function, then find the derivative

    Expression= lnx-ln(e^xlnx)=lnx-(lne^x+ln(lnx)=lnx-x-ln(lnx)

    Derivative=1/x-1-1/(xlnx) (The last term came from 1/lnx times 1/x by the chain rule)
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,977
    Thanks
    1643

    Re: completely expand the ln function, then find the derivative

    Quote Originally Posted by rabert1 View Post
    ln(\frac{x}{e^x ln(x)})
    Are you saying that you do not know the "laws of logarithms"? It seems strange that you would be taking a course that asked you find derivatives of logarithm functions if you have never taken a course that dealt with logarithms.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to reduce this function completely
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 28th 2011, 08:28 AM
  2. Replies: 3
    Last Post: March 6th 2011, 04:57 AM
  3. [SOLVED] Find derivative and simplify completely
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 1st 2011, 03:37 PM
  4. [SOLVED] Partial derivative. Completely stuck
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 18th 2010, 02:40 AM
  5. Expand a function into a series of powers?
    Posted in the Calculus Forum
    Replies: 7
    Last Post: May 1st 2010, 03:10 AM

Search Tags


/mathhelpforum @mathhelpforum