Quotient Rule Made Easier (NancyPi)

MIT grad shows an easy way to use the Quotient Rule to differentiate rational functions and a shortcut to remember the formula. The calculus Quotient Rule derivative rule is one of the derivative rules for differentiation. It's used to take the derivative of a rational function. To skip ahead: 1) For an easy way to remember the Quotient Rule formula, skip to time 0:21. 2) For an example of how to use the Quotient Rule to take the derivative of a fraction or quotient of functions (rational function), skip to 1:41. This video is a basic introduction to the Quotient Rule for taking derivatives in calculus. Nancy formerly of MathBFF explains the steps.

The Quotient Rule (calculus) tells you how to find the derivative of rational functions (a fraction, or one function divided by another function). The formal definition (textbook definition) of the Quotient Rule is often unnecessarily complex and intimidating.

There is a memory trick, or mnemonic, for how to remember the Quotient Rule formula. All you need to remember is the song "LO dee-HI minus HI dee-LO, over LO LO," where "dee" means the "derivative of." "HI" means your top function in the numerator, and "LO" means your bottom function in the denominator.

In other words, multiply the bottom function times the derivative of the top function MINUS the top function times the derivative of the bottom function, then DIVIDED by the bottom function times itself. After you differentiate the function with the Quotient Rule, remember to simplify the expression as much as possible using algebra.

[robrobson]

The Quotient Rule has been deeply puzzling me most of my life, haunting my dreams, affecting all my relationships, prevented me from flying or parachuting and I was absolutely petrified of ants. Now, I'm cured!!! Thank you! Thank you!

[daniel]

I don't understand how people dislike her videos even once, she literally is the reason I passed so all my math courses. Let's go NancyPi

[OGKix]

I learned it almost the same but just a little different " Lo De Hi - Hi De Lo, Over whats squared below." It rhymes a little more so it might help you remember it a little more.

[orland]

I remember: "LoDhi, HiDlo, bottom squared good to go"

[chubingtonpanda]

You are the wisest and calmest of all math sages, thank you for your time.

[AlJofe]

This is sooo much better! College professor literally complicate this rule for no reason 🤦‍♂️ Thank You so much 😊

[matthias]

this did help a lot. the teacher just threw product rules at us and i didnt even realize i needed to know the quotient rule for fracions. your method to remember them easier helped a ton too. thank you so much!!

[bharanij]

Excellent Series Nancy - You are the best maths teacher in YouTube.
Will you please do a series of lectures in
1) Permutations and Combinations
2) Statistics basics and Probability
Thanks

[vishubhatnagar]

Thank you very much Nancy, I was struggling for 20 minutes, but after watching your video, I understand in 2 minutes, Thank you

[chrisr-m]

I've never watched your videos but NancyPi and google said 3:14 run time and "Made Easier." Ok, you deserve the watch!

[anthonytang]

@NancyPi thank u for the awesome vids they helped me with my school work alot. U are alot better than my math teacher 👍thank u and keep up the great work!!!:)

[neurospizz]

This brings back memories of calculus 25 years ago

[Chriss.lindstrom]

Thank you for these videos! The quotient rhyme is almost the same as my teacher taught us but instead of "Lo * Lo", he said " Square the bottom and off we go!" It rhymes well with "High dee low". Might help somebody else to remember these rules!

[wellingtonsiankuku]

Keep teaching and am in love with your formulas madam Nancy 🇿🇲🇿🇲🇿🇲

[jonathanmoyer]

Thank you very much for the helpful content you create and post, Nancy. Your videos are tremendously helpful for me!

[christinajacobe]

Thank you so much! I missed my lecture about this and was super confused about the "lowdeehigh" thing people were talking about

[ultratobsV]

imagine you're a teacher in an exam room and you just hear a kid mumbling to himself:
"lo dee hi minus hi dee lo over lo times lo"

[lewisshen]

An extraordinarily fun way of remembering the Quotient Rule. Kudos to NancyPi.

[AllisonDashiell]

Thank you! You're so good at explaining things.

[DaGnGrNnJA]

Im so so happy that a classmate told me bout you! Granted it was hearing boy talk and then how you explain things to an understanding level that anyone can understand.
Thank you thank you