Dear All!

please, if we have

$\displaystyle f(x)=e^{lnx(1-lnx)}$

How do we get local masimums and points of inflection?

I tried:

$\displaystyle e^{lnx}=x$

$\displaystyle f(x)=x^{(1-lnx)}$...

I got $\displaystyle f(x)=\frac{x}{x^{lnx}}$

what now??? many thanks!