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Let $f(x)=x^x$. The derivative $f'(x)$ can be written as the product $f(x)g(x)$ for a certain function $g(x)$. Find $g(x)$.

 Jul 20, 2022
 #1
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By the chain rule, g(x) = log(x) + x.

 Jul 20, 2022
 #2
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Sorry, that's not correct. Maybe it's possible to rewrite $x^x$ in terms of an exponential with base $e$?

Guest Jul 20, 2022

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