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Find logb 4.5 given two other logs

  1. Jul 31, 2010 #1
    Differentiate: Essentials of Calc Problem

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

    Differentiate: y=x(lnx)^2-2xlnx+2x.


    2. Relevant equations



    3. The attempt at a solution

    (x) ((2lnx)/(x)) + (1)(lnx)^2-(2lnx+2(1/x))+2

    2xlnx/x+(lnx)^2-(2lnx+2/x)+2

    2lnx+(lnx)^2-2lnx-(2/x)+2

    (lnx)^2-(2/x)+2


    ?^ the answer is just (lnx)^2
     
    Last edited: Jul 31, 2010
  2. jcsd
  3. Jul 31, 2010 #2
    Re: Differentiate: Essentials of Calc Problem

    You differentiated -2xlnx incorrectly. I'm guessing it was a careless error since you applied the product rule correctly on the first term, just not the second.
     
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