I can't get any of these on my own and I am attempting to do $x^x$ I had it explained to me for about an hour and I still can't do it on my own. I thought I was supposed to make it into $x(\ln x)$ which should be equivalent to the original term. Then the differentiation should be easy for most people from here.
$$1(\ln x)+x(\frac1x) $$ or $$\ln x+1$$
This is of course wrong but I do not know why.