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Finding critical points

  1. Dec 9, 2008 #1
    I need help finding the critical points of this equation:

    f(x) = xln(x)

    I found f'(x) to be ln(x)+x, but I don't know how to solve for x when setting f'(x) to 0 to find the critical points. I know I can find the zeros of f'(x) graphically on a calculator, but I need to know how to do it algebraically.

    Thanks.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Dec 9, 2008 #2

    Defennder

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    Homework Helper

    It's not lnx + x.
     
  4. Dec 9, 2008 #3
    Ah man, I can't believe I overlooked that. I've been doing that a lot lately with studying for exams and all. I got it now.

    Thanks
     
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