How to Remember Quotient Rule

Can you tell me how to remember Quotient Rule?

The quotient rule is the rule for finding the derivative of some function that is the quotient of two other functions.

I don't think I could quote that.

The easiest way to remember the quotient rule is bottoms up. You start with the bottom function, and it'll end with the bottom function squared.

Can I quote you on that?

Sure. The quotient rule itself is derived from the product rule and chain rule.

I don't even know the quotient rule.

The product rule is the formula for finding the derivative of two functions, or more. The derivative of F times G is F derived times G plus F times G derived.

That's three times more than I think I could figure out.

If you have three things multiplied by each other and derived, just write out the variables three times. Then turn a different variable in the section into a derived symbol.

I can't visualize that.

So F times G times H all derived is F derived times G and H plus F times H times G derived and F times G times H derived.

I've got nothing to make this any simpler.

You can't solve a problem that has a bottom function that equals zero. And if the bottom quotient is zero on your homework, you'll know it is incorrect.

How is all of this related to the Leibnitz rule?

The Leibnitz rule is all of what I've been saying, simply a different notation.

It puts a lot of X's and D-DXes.

That sounds like a really fancy car, a DDX.

So how can I remember it.

The derivative in Leibnitz is D over DX. That doesn't mean you have additional deriving or dividing to do.

What does d over DX to two functions do?

The G times F derived minus F times G derived, divided by G squared.

I'd like to be able to quote you on that for my test.

Don't test me.