Recently I've considering the two functions x(adsbygoogle = window.adsbygoogle || []).push({}); ^{y}= y^{x}and y = x^{x}.

1) For x^{y}= y^{x}can y be found in terms of x? I'm sure I've seen such a solution before.

2) In y = x^{x}when y (and therfore x)is postive what value of y gives the minium value for x? I know it's rougly 0.45 and that dy/dx = 0 at this point, but it's a long time since I've done more advanced differentiation and I don't even know if you can differentiate x^{x}

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# X to the xth power and other indices

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