Hi there. I got this function, and I must find the intervals where it grows and when it decreases.

Here it is:

$\displaystyle f(x)=x\ln^2(x)$

I found its derivative:

$\displaystyle f'(x)=\ln^2(x)+2ln(x)$

From here I see that it will always grows when x>1. But, what happends before it gets to x=1? How must I think this problem?

Bye there, and thanks.