Natural log of one is just zero. So all of this just simplifies to one. So over this blue interval, I sampled a point there, g prime of x is greater than zero. So it looks like our function is decreasing from zero to one over square root of e, and then we increase after that. And we increase for all x's that are greater than one over the square root of e. And so our function is going to hit, if we're decreasing into that and then increasing after that, we're hitting a global minimum point or an absolute minimum point at x equals one over the square root of e. So let me write this down. We hit a absolute minimum absolute minimum, minimum at x equals one over the square root of e. And there is no absolute maximum. As we get above one over the square root of e, we are just going to, think about what's going to be happening here.