You have a differentiable function. So maybe my function looks like this. It says there's at least one point c on that interval where the derivative at that point c is equal to the average rate of change. 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.