Results 1 to 2 of 2

Math Help - derivative of trig of a ln of a sqare root questions

  1. #1
    Senior Member
    Joined
    May 2012
    From
    Toronto
    Posts
    258
    Thanks
    1

    derivative of trig of a ln of a sqare root questions

    y=tan(ln(sqrt(x^2 +1)))

    find y'

    I got


    sec^2x(ln(sqrt(x^2+1))) *  [1/2(x^2+1)] ^ -0.5 /sqrt(x^2+1)

    which is multiplied by the derivative of sqrt (x^2-1) and then multiplied by 2x (the derivative of x^2)

    is there an error in there?
    Last edited by kingsolomonsgrave; October 31st 2012 at 11:30 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,110
    Thanks
    982

    Re: derivative of trig of a ln of a sqare root questions

    y = \tan[\ln{\sqrt{x^2+1}}] = \tan \left[\frac{1}{2}\ln(x^2+1)\right]


    \frac{dy}{dx} = \sec^2 \left[\frac{1}{2}\ln(x^2+1) \right] \cdot \frac{x}{x^2+1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Primitive Root questions
    Posted in the Number Theory Forum
    Replies: 1
    Last Post: November 16th 2010, 04:22 AM
  2. Trig derivative questions.
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: May 18th 2010, 10:29 PM
  3. Trig derivative questions.
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 18th 2010, 10:29 PM
  4. Square Root questions!
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 6th 2010, 08:48 PM
  5. Sqare root integral
    Posted in the Calculus Forum
    Replies: 4
    Last Post: August 23rd 2008, 12:36 AM

Search Tags


/mathhelpforum @mathhelpforum