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.
For more help with Quotient Rule derivatives and HOW TO TAKE THE DERIVATIVE of a function using the DERIVATIVE RULES (Power Rule, Product Rule, Quotient Rule), jump to: • Derivatives... How? (N...
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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.
This video is a basic intro to the Quotient Rule. For more of my calculus math videos and examples of taking derivatives, differentiation rules like the chain rule, differential calculus, basic calculus, integral calculus, common derivatives, and calculus problems (including Calculus 1, AP Calculus AB, AP Calculus BC, and Calculus 2), as well as precalculus and algebra math help, check out: nancypi.com

[@robrobson7306]

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!

[@Liberty2357]

I'm a dumbass. The only way I remember it is to use the product and chain rule with the quotient written as a products written to the negative 1 power. So instead of f(x)/g(x) you get f(x)*g(x)^-1. Then using product and chain rule f'(x)*g(x)^-1-f(x)*g(x)^-2*g'(x).

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what about integration by parts

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Lol

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Dude, wtf 😂😂

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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

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[@TheBlackLodger]

They're proof that there's pure evil in this world.

[@ayanda_m4240]

It's coz everything is backwards😬I'm confused

[@akear]

47 dislikes out of 3700 is not many people.

[@theodoresweger4948]

@@TheBlackLodger Exactly

[@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.

[@djspunz]

Mine was "Lo De Hi - Hi De Lo, square the bottom and away we go!"

[@gleon1602]

Professor Leonard uses the same rhyme

[@orland7777]

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

[@herbcruz4697]

That's fine, as long as you remember that you have subtract High D-Low from Low D-High.

[@chubingtonpanda4489]

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

[@bharanij6130]

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

[@matthias6592]

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!!

[@AlJofe]

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

[@vishubhatnagar8638]

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

[@neurospizz75]

This brings back memories of calculus 25 years ago

[@chrisr-m4497]

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

[@lewisshen5012]

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

[@jerryscared]

Her mirrored writing skills are seriously respectable

[@mrnobrightside5047]

Doesn't she flip the video?

[@jerryscared]

@@mrnobrightside5047 you are very right

[@anthonytang1111]

@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!!!:)

[@hdsn20]

"Low D High over High D Low, square the bottom and there you go" *applause* thank you, thank you

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NancyPi’s videos are proof that sometimes people accidentally click on dislike when they meant like. There can be no other expiation.

[@michellef3286]

wait a minute..... WHAT?! I've been trying to understand the first way you showed and then you show me the easier way..... 🤯 Why is my professor NOT using your videos?!🤦‍♀

[@ultratobsV2]

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"

[@LesediMolomo]

🤣🤣🤣🤣🤣🤣

[@christinajacobe6151]

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

[@DaG1nG3rN1nJA]

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

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You make learning fun, wish you had the videos I need.

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

[@benjjm1384]

Here is your fan from Hong Kong. You help me a lot in calculus.

[@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!

[@Shan_124ss]

Thank you watched the lecture like 3 times, didn't understood it, but 3 min into the video I remember it.

[@aakashjana6225]

Nancy is one of the cutest math teachers on youtube these short and concise videos help me soo much . started watching her in 11th grade now i am first year engg and man i still watch these vids.

[@killuday]

Simp

[@alfonsodominguez7428]

Thanks for the calculus video it really really helps especially when your explanations are easy to understand compare to my professors. Thank you for your video and I hope you continue making calculus videos because they really really do help a lot

[@gravey7490]

This video is 3:14 long. But also very helpful. Thank you.

[@orionmcgann2598]

it's actually 3:13. but also very helpful. Thank you.

[@elvir182]

Orion McGann 3:14 to me

[@HeyKevinYT]

Well what can you say 😊 it’s NancyPi

[@vishalshrivastava9116]

i am from india and preparing for one of the worlds most tougheset eam that is jee , thanx nancy mam for your teaching

[@jonathanmoyer9661]

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

[@AllisonDashiell]

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

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Nancy could have changed my whole school experience if I only had her decades ago!!!

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Idk HOW i missed this video before but thanks for this! 🤗💕

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[@yusuftsado]

Pretty good strategy here. That makes sense ..

[@loveofaflower5486]

Oh my gosh ma’am- I love you and your videos so much!! Continue to do a wonderful job 💕💕💕

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I'm going to write my semester test 2 just now and trust me I now understand!! Lool just in few minutes!!

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[@nvstvsi]

I never remember the quotient rule. I simple use product and chain rule to re-derive it. This is what you must do if you have two functions f,g: R^n\to R^m, because "division" no longer makes sense. Instead, you multiply by the inverse matrix. Also, since derivatives are matrices (linear transformations) in higher dimensions, multiplication is not commutative, and the quotient rule will not resemble the one dimensional quotient rule.

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I can 3D print stuff for you but idk what would represent her in the form of merch.

[@ckmwiinga1594]

Thank you Nancy this was very helpful I really appreciate your work

[@tmau327]

Thanks, Nancy, our lectures are awesome!

[@JamesBrodski]

Wow, this is great! Thanks Nancy. I keep forgetting the [g(x)]^2

[@AndrewSYang]

please create an easier version of the product rule :)) this made every problem easier for me!

[@CindyMutuku]

Andrew you can use u’v+uv’. u and v are the original functions and then u’ and v’ are their derivatives.

[@AndrewSYang]

thanks!

[@sydbarnes9006]

The way I learnt the quotient rule was to do heaps of examples until it became 2nd nature.So it is no big secret ,I found the Khan Academy the best place to practice.

[@sachinugale8020]

Love from India. Mam ur teaching methid is very easy and understandable

[@dexteralanis4726]

Thank you again ma'am Nancy

[@h9mmy945]

I have never really had a problem with math until calculus man. This stuff gets tough

[@judiciousaidoo7345]

Thank you soo much , your videos are helping me for my Msc

[@threepimathacademy5159]

She is presenting the things in best way, can someone explain to me how she is writing. I dont understand, she is using a glass board but how it works. Excellent work as math teacher.

[@nonamehblock5877]

Goated for this one

[@samejom]

Thank you Nancy!

[@Aadesh461]

Thank you for this video! Bouta watch all the rest brb

[@theodoresweger4948]

Thank you Nancy

[@pamodhawickramarathna7968]

of my god your lessons are really helpful.

[@Dotto19]

Thank you Nancy ❤

[@TheAAZSD]

This is a great refresher for tutoring. Cheers!

[@samstrc]

Amazing!! Thank you so much for the help.

[@beneastman9252]

Holy crap thank you so much I had no idea that “dee” was derivative.... I guess that’s what happens when you don’t pay attention in class

[@jamescorden6334]

Hey Nancy, I know you did a video on Inverse function already but I’m taking pre-calc now and I have a inverse function problem to solve which includes Natural Logarithm. If you have time, would you please explain that in a video? Thank you very much :)

[@afzal537]

Nancy you the best❤️ wish u were my teacher in real life❤️ Thanks alot❤️❤️

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thank you so much 🙏 this helped so much

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Thank you soooo much u saved my time!

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Thank you NP

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Brilliant teacher!

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nancypi you are a queen!

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Thanks Nancy - I DO like math - and I DO like your videos!

[@marksanders4657]

Thank you

[@dasundev]

Thanks so much!

[@gabrielagbemey1581]

This method is really catchy but I was able to use it and come up with my own method

[@fzx4868]

which is?

[@lysso7232]

Thank you so much ! I’m studying for my exam tomorrow and I’m freaking out lol

[@Mark-ch3ht]

hello thanks nancy

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Thank you so much!!

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Beautiful inside and out!

[@kamm596]

Thanks alot Nancy!!

[@bonganiyasharahla8488]

This is so helpful thank you

[@peterhunt1968]

Great teaching as ever. Thanks.

[@jaebro1563]

Nancy I love you!!!!!!!! Thank you!!!!!!!!! made remembering this so much easier. You're awesome!!!!!!!

[@chriswilliams5291]

This is awesome thank you.

[@mountainc1027]

I derived the quotient rule by considering the function "1/LO", then using the product rule of HI and 1/LO with chain rule. It might not be quicker, but you won't make a mistake if you know your products and chains. P.S. in my region the quotient is taught d[u/v]/dx = (vu'-uv')/v², and it actually rolls right off the tongue! "vee dee yuu, minus yuu dee vee, all over vee squared."

[@mountainc1027]

or: vee yuu prime minus yuu vee prime over vee squared

[@mateiacd]

@@mountainc1027 In Romania, the Quotient Rule is written in the math manuals a bit different, d[u/v]/dx = (u'v-v'u)/v², in the products the derivative comes first. With no indication whatsoever about how to "sing" the formula :-)

[@jhayjjang]

thanks

[@atlasmubeen4786]

bohat accha samjaya hai

[@fearless1583]

Hey Nancy! Could you plz do a video on how to find derivatives on a graph from function? Thanks

[@Mark-ch3ht]

easy just find the slope at the point

[@mathstechniques]

Nice lecture

[@ginmo6865]

thank you so much you are explain in very easy way i understand the derivative very well ^_^

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AWESOME STUFF

[@thestoictruth5869]

Nancy if u were my professor I would pay attention and show up 2 class everyday

[@angeldevil5749]

Hi Nancy, could you take a video about derivative of inverse function?

[@nirmalarajpurohit8891]

Awesome👍👍

[@chemicalconfusion6164]

absolute legend

[@emmafrank6690]

Splendid

[@josephjoy7080]

Good video

[@iced4024]

@NancyPi Can you do a video explaining instances of the Product Rule and Quotient Rule being used in the same problem?

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Loveeeee it!!!

[@desireeduarte2691]

Can you please cover Calculus: Higher Order? And with examples using radicals?

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Nandito ako dahil kay Sir Marvin

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OMG it’s very useful.

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ur the best. thank u

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bless her soul

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