Graph

Posted October 1st, 2010 by alpha

How does the graph of x logx look like??

Comments

On October 3rd, 2010 Structure says:

$f(x)=x\ln x$ $f'(x)=\ln(x)+1$
so f'(x)=0 means $x=\frac{1}{e}$

$\lim_{x \to 0}x\ln x=0$

$\lim_{x \to +\infty}x\ln x=+\infty$

Here is the graph of $f(x)=\frac{\ln x}{x}$