And there you have it. We have found the derivative of this using the product rule and the chain rule. Now, this is not the form that you might see when people are talking about the quotient rule in your bath book. So let's see if we can simplify this a little bit. All of this is going to be equal to, we can write this term right over here, as f prime of x, as f prime of x over g of x. And we can write all of this as, we can put this negative sign out front, we have negative f of x times g prime of x, and then all of that over g of x squared. All of that over g of x squared.