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Derivative of X^(x^x)?

  1. Nov 8, 2011 #1
    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:

  2. jcsd
  3. Nov 8, 2011 #2


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