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**x^a**and an exponential function like

**a^x**(it was in relation to differentiation). So they asked me "what about

**x^x**" and I was stumped to give it a name.

BTW, I was able to differentiate

**x^x**ok, I got

**( 1+ln(x) ) x^x**which I'm pretty sure is correct, I just don't know if x^x has a commonly used name.