# What are the critical points of #f(x) =x^2ln(x/e^x)#?

##### 1 Answer

Nov 17, 2015

So we have

Using log properties we can say it's

Differentiating we have

A critical point is a point in which the derivative is null, knowing that and that the domain of the derivative is the same as that of the function, we have

Since we know

However, we have that, for every value of

And so

And

So, there are no critical points.