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Derivative of a Vector Function

  1. Jul 13, 2014 #1
    1. The problem statement, all variables and given/known data

    r(t) = ln ti + j, t > 0

    find r′ (t) and r″(t)


    2. Relevant equations

    none

    3. The attempt at a solution

    r'(t)= 1/t i

    am I on the right track? The answer in the back is r'(t)= 1/t i -1/t^2 j

    Please help asap this is quite urgent! Thank you!
     
    Last edited: Jul 13, 2014
  2. jcsd
  3. Jul 13, 2014 #2

    Char. Limit

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    Gold Member

    That doesn't make too much sence if r(t) is supposed to be constant along the j unit vector. My best guess is that it's probably a misprint, and that r(t) is supposed to be r(t)=ln(t) i + 1/t j. That said, if this is for an assignment, proceed with the problem as written, which you're on the right track so far.
     
  4. Jul 13, 2014 #3
    yea that's what I originally thought too, thanks a bunch! (:
     
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