Thanks for the help, I ended up figuring it out and getting it right =)

I have another that is confusing me

Consider the function f(x) = xln(x) , x > 0

Find the critical point of

Find the local maximum of f

find the local minimum of f

then I have to put the intervals on which f is increasing as well as the intervals on which f is decreasing.

So, in order to find the critical points, I have to take the derivative of the function right? thats what I did.

I ended up with f '(x) = 1 + lnx so I plugged that in and my critical point was .3678, not sure if that is right.

I don't see any local max or min, so I'm not sure. It looks like the graph is constantly decreasing, so I'm really not sure what to do with this. Can I get a hint maybe?