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Advanced calculus proof

  1. Feb 28, 2009 #1
    1. The problem statement, all variables and given/known data

    let L(x)= integral from 1 to x: 1/t dt. Show that L:]0,infinity[--->R is continuously differentiable. show that L(xy)=L(x)+L(y) for all x,y in ]0,infinity[.

    hint: let L1(x)=L(xy) and compute L'1(x)



    you dont have to solve it for me, just lead me in the right direction please
     
    Last edited: Feb 28, 2009
  2. jcsd
  3. Feb 28, 2009 #2

    Tom Mattson

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    Let's see your thoughts on the matter.
     
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