And these don't just apply to the power rule. They apply to any derivative, but they are especially useful for the power rule because it allows us to construct polynomials and take the derivatives of them. If I were to take the derivative of the sum of two functions, so the derivative of, let's say, one function is f of x, and then the other function is g of x, it's lucky for us that this ends up being the same thing as the derivative of f of x plus the derivative of g of x. So this is the same thing as f. Actually, let me use that derivative operator just to make it clear. It's the same thing as the derivative with respect to x of f of x plus the derivative with respect to x of g of x. So we put f of x right over here and put g of x right over there. And so with the other notation, we can say this is going to be the same thing.