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Taking derivatives

  1. Sep 13, 2009 #1
    1. The problem statement, all variables and given/known data

    x = [tex]\sqrt{(10t-3)^{2} + (2t)^{2}}[/tex]

    Find the derivative

    2. Relevant equations



    3. The attempt at a solution

    x = [tex]\sqrt{(10t-3)^{2} + (2t)^{2}}[/tex]

    x = [tex]\sqrt{(104t^{2} - 60t + 9}[/tex]

    dx = [tex]\frac{1}{2\sqrt{104t^{2} - 60t + 9}}[/tex](208t-60)

    dx = [tex]\frac{208t-60}{2\sqrt{104t^{2} - 60t + 9}}[/tex]
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 13, 2009 #2
    That's correct. :smile:

    You can divide both nominator and denominator with 2.
     
  4. Sep 13, 2009 #3

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    But what you computed isn't dx. In your equations you should have

    dx/dt = your answer.
     
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