So the way I've drawn it right over here, the average rate of change of this function, I'll do it in magenta, is this right over here. And the mean value theorem says is that if this is differentiable, there's at least one point c in this interval where I have the same slope, where the tangent line has the same slope, where the derivative is the same as the slope, as that average slope. And you can see here, it's probably right over here, you have one of those points. And actually, we probably have multiple of them. We probably have another point right over here that's like that. And then another point there that's like that. And if you think about it, it's kind of intuitive that at some point, you know, here we're, we obviously have a larger slope, and over here we have a smaller slope.