Calculus 3.07i - The Quotient Rule

[@hg2.]

Excellent! Excellent explanation. Excellent proofs! Derek Owens is revolutionizing math education!

[@derekowens]

@Khanacademyr0cks Just learn the Quotient Rule Song. Then you'll always remember it. Look up KZbin video DdV2UZV7AoA

[@yosht6110]

in what situations do we use the product rule or the quotient rule?

[@derekowens]

These rules are for taking derivatives of functions. If you have a function that is actually the product of two functions, and you need to take the derivative, then you can do it fairly quickly in most cases with the product rule. Similarly for the quotient rule, when you need to take the derivative of a quotient.

[@hg2.]

Joe, In a more general answer to your question "where do 'we' use all this stuff", spend some time on the Dr. Micheal Young's Physics With Calculus course, that's one entry level place where things start to get calculus-interesting.

[@teejmd91]

Really nice video, enjoyed the proof a lot. At 5:12 you write v as a function of x but then label both axis's v, small error no problem. If you were looking to easily fix up these errors you should find out how people do those pop up bubbles within the video with messages like 'meant to be an x on the horizontal axis instead of v!' As creating a whole new video to fix up small errors like that would be inefficient.

[@EugenMihailescu]

If the time is not a problem for the student then maybe people/students should just try to prove the Quotation Rule definition when they don't recall the formula learned by heart: d/dx[u/v]=lim ((u[x+h]/v[x+h] - u[x]/v[x])/h), when h->0.

[@ChochelinR]

I understand! Thank you so muchhhh! :'D