SOLUTION: Please help me solve this question: {{{ d/dx x^x }}}

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Question 894587: Please help me solve this question: +d%2Fdx+x%5Ex+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Looks like you're trying to find the derivative of y=x%5Ex.
y=x%5Ex
Take the natural log of both sides.
ln%28y%29=xln%28x%29
Now differentiate,
%28dy%2Fdx%29%2Fy=x%2A%281%2Fx%29%2Bln%28x%29%2A1
dy%2Fdx=y%2By%2Aln%28x%29
dy%2Fdx=y%281%2Bln%28x%29%29
dy%2Fdx=x%5Ex%2A%281%2Bln%28x%29%29