- #1

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^{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 therefore 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}