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. And let's see, this right over here, this is going to be a negative value. In fact, it's going to be quite, it's definitely going to be greater than negative one. Because e to the negative one only gets you to, let's see, e to the negative one is one over e. So that's one over 2.7.