What we're going to do in this video is introduce ourselves to the quotient rule. And we're not going to prove it in this video. In a future video, we can prove it using the product rule, and we'll see it has some similarities to the product rule. But here, we'll learn about what it is and how and where to actually apply it. So, for example, if I have some function, f of x, and it can be expressed as the quotient of two expressions. So let's say u of x of x over v of x, then the quotient rule tells us that f prime of x is going to be equal to, and this is going to look a little bit complicated, but once we apply it, you'll hopefully get a little bit more comfortable with it. It's going to be equal to the derivative of the numerator function, u prime of x, times the denominator function, v of x, minus the numerator function, u of x, do that in that blue color, u of x times the derivative of the denominator function, times v prime of x.