So let's think about the interval between zero and this critical point, right over here. So the open interval from zero to one over the square root of e. Let's think about whether g prime is positive or negative there. And then let's think about it for, for x greater than one over the square root of e. So that's the interval from one over the square root of e to infinity. So over that yellow interval, well let's just try out a value that is in there. So let's just try g prime of, I don't know, let's try g prime of 0.1. Z prime of 0.1 is definitely going to be in this interval. And so it's going to be equal to two point, two times 0.1 is equal to, is equal to 0.2 times the natural log of 0.1 plus 0.1.