1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to differentiate y = ln( 1+x^2)^1/2

  1. May 18, 2009 #1
    1. The problem statement, all variables and given/known data

    hey guys, got a question. how do ya differentiate y=ln(1+x^2)^1/2. any help would be appreciated, thanks

    2. Relevant equations

    answer is x/(1+x^2)

    3. The attempt at a solution
     
  2. jcsd
  3. May 18, 2009 #2

    Mark44

    Staff: Mentor

    Re: differentiating

    Power rule and chain rule.
     
  4. May 18, 2009 #3

    Cyosis

    User Avatar
    Homework Helper

    Re: differentiating

    To get the answer you have listed your function must be [itex]\ln \sqrt{1+x^2}[/itex] and not [itex]\sqrt{\ln(1+x^2)}[/itex]. You can write [itex]\ln \sqrt{1+x^2}=\frac{1}{2}\ln (1+x^2)[/itex], perhaps this form is less intimidating?
     
  5. May 19, 2009 #4
    Re: differentiating

    so the 1/2 just stays out the front without it being differentiate, i thought it dissapeared? thanks for the replys
     
  6. May 19, 2009 #5

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Re: differentiating

    Go check your rules of differentiation again....
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: How to differentiate y = ln( 1+x^2)^1/2
Loading...