Remember, what we saw for the average value of a function, we said the average, the average value of a function is going to be equal to one over b minus a, notice, one over b minus a, you have a b minus a in the denominator here, times the definite integral from a to b of f of x dx. Now, this is interesting, because here we have a derivative, here we have an integral, but maybe we could connect these, maybe we could connect these two things. Well, one thing that might jump out at you is maybe we could rewrite, maybe we could rewrite this numerator right over here in this form somehow, and I encourage you to pause the video and see if you can, and I'll give you actually a quite huge hint, instead of it being an f of x here, what happens if there's an f prime of x there? So I encourage you to try to do that. So once again, this is, let me rewrite all of this. This is going to be equal to, this over here is the exact same thing as the definite integral from a to b of f prime of x dx. Think about it.