Results 1 to 4 of 4

Math Help - derivatives using natural logs

  1. #1
    Junior Member
    Joined
    Aug 2008
    Posts
    52

    derivatives using natural logs

    y=6x^ln(x)

    Before I take the derivative, is this right?

    ln(y)=ln(x)[ln(6x)]
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by yeloc View Post
    y=6x^ln(x)

    Before I take the derivative, is this right?

    ln(y)=ln(x)[ln(6x)]
    No.

    \ln (y) = \ln \left( 6 x^{ln(x)} \right) = \ln (6) + \ln \left( x^{ln(x)} \right) = \ln (6) + \ln (x) \ln (x) .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Aug 2008
    Posts
    52
    Ok that would explain it.

    so the derivative would be:

    y'=[(2ln(x))/x]*[6x^ln(x)] ?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by yeloc View Post
    Ok that would explain it.

    so the derivative would be:

    y'=[(2ln(x))/x]*[6x^ln(x)] ?
    Yes.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Derivatives with Trig and Natural Logs
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 19th 2011, 06:00 PM
  2. Replies: 9
    Last Post: February 22nd 2011, 06:39 PM
  3. derivatives with natural logs
    Posted in the Calculus Forum
    Replies: 3
    Last Post: May 4th 2010, 02:02 PM
  4. Dealing with Logs and Natural Logs
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: April 14th 2008, 07:18 AM
  5. Derivatives of Natural Logs question
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 25th 2007, 04:13 PM

Search Tags


/mathhelpforum @mathhelpforum