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Homework Help: 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


    Staff: Mentor

    Re: differentiating

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


    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


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Re: differentiating

    Go check your rules of differentiation again....
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