Derivative of $(\mathrm{ln}x{)}^{\mathrm{ln}x}$

How can I differentiate the following function?

$f(x)=(\mathrm{ln}x{)}^{\mathrm{ln}x}.$

Is it a composition of functions? And if so, which functions?

Thank you.

How can I differentiate the following function?

$f(x)=(\mathrm{ln}x{)}^{\mathrm{ln}x}.$

Is it a composition of functions? And if so, which functions?

Thank you.