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Derivative of X^(x^x)?

  1. Nov 8, 2011 #1

    appplejack

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    1. The problem statement, all variables and given/known data
    I uploaded a image file of the question.


    2. Relevant equations
    I've seen the derivative of X^x but how do I do this one?


    3. The attempt at a solution
     

    Attached Files:

    appplejack, Nov 8, 2011
  2. jcsd
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  3. Nov 8, 2011 #2

    rock.freak667

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    Homework Helper

    Put t=xx and apply the chain rule since you know what d/dx(xsup]x[/sup]) gives.
     
    rock.freak667, Nov 8, 2011
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