The Quotient Rule

[@abby4899]

YOU ARE THE BEST PATRICK! I really dislike textbooks and reading 'cause they complicate the easiest stuff -_- I swear because of you I'm expecting a 90%+ as my Math grade at the end of the semester! Thank you sooo much! May you have abundant blessings! Namaste :)

[@tkerby91]

patrickJMT deserves 1/2 of my degree.

[@patrickjmt]

i may do one this weekend... someone else asked for something similar (mainly the factoring part) - i will do one this weekend probably!

[@patrickjmt]

wow ghana! it is amazing to see how people all over the world are watching these! it is ironic: some boy from the backwoods of kentucky is spreading math cheer all across the globe. i am the santa claus of mathematics

[@patrickjmt]

@vedvishala no problem at all

[@patrickjmt]

@darkangelic88 u can use this rule for any fraction

[@TheDee032]

If you were my calc teacher I think I would actually enjoy class. My teacher rambles and throws definitions around all day. You are the God of Mathematics!

[@patrickjmt]

@tsfarnoudi my pleasure : )

[@patrickjmt]

@Thomas91K perfect, glad i could help :)

[@Jrcuevasv]

dude, thanks for this type of videos... i was just curious and searched calculus tutoring in youtube, and found this and a couple of more videos.... and i'am really glad that people take their tame to help others, you just don't see this too often anymore.... keep up your work, even thought i didn't needed this, I am sure many do need it.... cheers

[@patrickjmt]

@dcourtn1 no prob

[@xzChristinezx]

Thank you so much! I don't understand how teachers get paid and we don't learn anything yet we can take a few minutes watching one of your videos and understand everything. It doesn't make sense but I thank you SO much for it :) You've helped me out for 2 years now!

[@patrickjmt]

@Poiboyification no problem.

[@henryjunior38]

whenever i need to watch a tutorial about calculus i look for Patrick's videos because he is such a professional. Thank you for taking your time to explain us calculus.

[@wazzerfc]

you sir are a living legend !! you have helped me more in these 7 minutes than my lecturer has in 2 hours !! thank you soo much !

[@ZachDavidson1]

My high school calculus teacher minored in poetry. This is what he taught us to always remember the quotient rule, "Low d, high. Minus high d, low. All over the square, of whats below." I haven't forgotten it since!

[@PaulWolfenden1]

learned more from a few of this guys videos than i have from my math teacher in the past month. more teachers should be like him.

[@patrickjmt]

ohhhh nice! vienna!!! my wife got to go there for a math conference once, and said the city was so totally amazing. i would love to visit : ) if i ever come, you have to give me a free tour of the city in return for my services to you! : )

[@patrickjmt]

@jchen0011 you are welcome. and : no thanks : )

[@patrickjmt]

@hippie4life101 congrats, that is very good! keep watching! next test will be A++++ :)

[@patrickjmt]

oh yea!

[@patrickjmt]

thanks!!

[@Da90lias]

Continue your examples till the end please :( I like to be 100% sure if my answer is right or not!!

[@vjmolina4446]

I agree patrickJMT

[@EagleLogic]

I agree ++

[@omarkhattab2402]

Agreed !

[@UniquelyNeika]

I agree

[@ARabidSquirrel42]

Thank you so much. You are exactly the kind of teacher that helps me. Keep posting these, you are saving lives (and GPAs).

[@orevas]

I just realized he's left-handed

[@Thomas91K]

OMG thanks so much man! I watched your videos last year when I was in Grade 11 to get ready for this year, in Grade 12. Your videos are so helpful! I forgot the specifics of the quotient rule, I thought that it was similar to the product rule in that the order of the terms didn't matter, and I kept wondering why I got my numerator of the wrong sign. Then I watched this video and you used that low,d-high - hi, d-low over low-low thing and I just breezed through all my homework. Thanks!!

[@vonTwirlenkiller]

I'm so grateful that you take your time out of your day to upload these videos on youtube. Thank you for helping us understand.

[@LurksVault]

I just want to thank you for all the work you do! I suck at learning in the classroom so this is just amazing that you do nearly everything via video! Thanks again

[@cdreizen13]

You're a life saver- studying for finals has never been more enjoyable!

[@mrosendal]

Thank you for doing this, i hope you make a lot of money on the ads you really deserve it !

[@helenday5031]

I am very grateful for the useful memory aid tip, re the "Low-d high....etc". I can almost imagine someone singing and yodelling it, somehow. It certainly worked really well for me and gave me instant understanding of what I needed to do in the formula.(such instant understanding is rare for me!)

[@patrickjmt]

thanks : ) glad they are helping!

[@rsgirl10]

I completely understood it after the low d high minus high d low over low low. I wish teachers were this concise.

[@theonlycoolone]

Thanks very much man. You're doing a great thing and helping many students like me who need a little extra on the side to learn things. I have a quiz tomorrow, and I am now feeling confident! Thanks again!

[@bhenedick]

I also heard that mnemonic device of your student to our prof. and when I first heard that, I was confused how to use that. thanks for explaining it up further.

[@muskaanrocks21]

Thank you very much!! I usually watch your videos before my teacher teaches the lesson!! ur great!! keep it up

[@HeyWheresKel]

This is such a great help, but did you ever consider making a video of harder things like finding and factoring/simplifying second derivative of functions that require Quotient Rule? That would be totally awesome since it's what I have to deal with and I'm sure others do too.

[@patrickjmt]

my pleasure : )

[@chummyigbo8844]

Thanks a lot Patrick. You have helped make learning more interesting. Graçias

[@Fearlessfighter0]

We need teachers like you that can actually teach effectively, thank you for your videos!

[@mypinkdollprincess]

I didn't know that people like you could change the world under 10mins!! Thanks a Zillion!

[@0412coco]

thanks so much - sitting my leaving cert tomorrow (in ireland) for maths and u have been a life saver :)

[@arhwhyayehn]

patrick great tutorial! Easy to follow and understand! Thank you

[@Pulseidon]

easier way to remember is: y=u (over/divided by) v y'=vu'-uv'(over/divided by) v^2 (v squared) Sorry if it is hard to understand but this is the best I could do on the computer. Basically you're just substituting the complicated stuff on the left of the = sighn with a "y" and stuff on the left with "u (divided by) v" It just gets rid of all those brackets and f's that you just don't need, it renders them useless and is MUCH easier to remember.

[@napster428]

Thanks, This helped i missed my class and this what they did... so thanks and keep up the great work all the way from CANADA

[@JordaNoceros]

patrick man i love all of your videos, and to be honest i love math, even calc. I'm going for an electrical engineering degree, but because i want to design and build electronics and circuitry. but do you think I will ever actually be using this or is it just all gonna remain in college? also are you a math major?

[@patrickjmt]

glad i could help out a bit :)

[@kalenjotojot4921]

Dear gosh thank you PatrickJMT!!

[@mastercheif0ganster]

Bless this man.

[@TBBuccaneers1717]

I... I love you. I have an exam in 5 hours and was kinda frantic because I stupidly never attended class.. But you explained this so nicely

[@patrickjmt]

@Poiboyification it probably wont

[@VizardDLim]

thanks alot patrick..im just about to to study calculus...and this tutorials is helping me alot daaaaaamn rock on man \m/

[@Vordrazz]

These videos are great! Thanks for the help! After passing first year calculus I thought I was done! Unfortunately you need it to set up and monitor thermodynamics in physical chemistry haha.

[@Alaynalayna64]

Your handwriting is delicious.

[@sabrinaalgoo1822]

fav math tutor online keep it up and thanks alot you've been so much help God bless

[@sj0mann]

For me, yes. I study theoretical physics (it's the literal dutch translation, the official english name for it would be applied science but I just don't see how that name would suit what i do), and I recently had to work on a petrol engine. Without these methods I wouldn't have been able to calculate some essential parts. It might seem like something you will never have to use, but I and others were proven wrong. I think teachers should give examples on what this could be used for.

[@TheNinjassin]

fantastic videos, thank you very much for your help... I can imagine it would be very rewarding to have you as a teacher...

[@AtanasNenov]

Awesome vids! One question about the quotient rule though - why did you swap the places of f' and g' as opposed to the product rule? It's the same thing, with the second factor being of power -1. It's a lot easier to remember the quotient rule being the same order as the product rule, i.e. derivative of first "factor" (i.e. the numerator) times the second "factor" (i.e. denominator) unchanged minus first "factor" times the derivative of the second "factor" and ofc over the 2nd "factor" squared.

[@erikafaye14]

I always check your tutorials and I'm so glad you're here :D My grades are improving in Calculus, well thanks to you Patrick :D Take care ;)

[@XspartanLeaderX]

I love math, thanks for always helping me with my HM pat!

[@hosephollywood2]

i cant beileve how good you are at this! i mean my teacher does his job well but this really helps to solidify the concept in my mind:] LATE NIGHT MATH REFERENCES FOR AN ASSIGNMENT THATS DUE IN THE MORNING FTWWWWWWW

[@JoshGilfoy]

I wish I found this channel sooner! Thanks for the help!

[@patrickjmt]

the coolest! : )

[@Jabed21]

awsome quotient rule! now i understand chain rule, product rule and quotient rule

[@firefoxx46]

Thank you Patrick. You are the greatest . Cheers.

[@D4v1id]

At 2:25 you put the problem down correctly but then put an equal sign inferring that it is equal to the derivative! You need to start a new line there and put dy over dx.

[@u218064]

I am litery getting by my calculus class by your videos THANK YOU SOOOOOOO MUCH!!!

[@AdamSays]

Wow! thank you soo much! You have made it soo clear... a very useful source of revision! :)

[@wygnutz331]

I'm terrible at math and somehow making an A in calculus because of your videos. Thank you so much.

[@dcourtn1]

you are great. thanks for taking the time to help us all.

[@mrhe832]

@patrickJMT It seems like the quotient rule is the exact same as the product rule, however the division of the denominator squared is the only difference. Is this correct?

[@yepitsme7237]

You are my dream teacher! You can teach anything. Thank you for vids. :)

[@patrickjmt]

well, it is not a matter of being concise :)

[@TheHarlemtwin]

Thank you so much! I finally understand this, and the product rule

[@alimahamud3937]

Your videos are awesome and help alot thanks i can never understand my grade 12 calc teacher but you are soo easy to understand are you a teacher or tutor in real life thanks :D

[@Poiboyification]

@patrickJMT thks for the inspiring motivation..

[@MsSt00pid]

south paws FTW!!!! love your videos, they helped me get through calc

[@ChelseaRein]

So for the example that you had that involved the trig functions, you can't simplify that further? If you can, what would it be?

[@kiashapillay274]

As a pneumonic, my friend taught me, Quotient Rule: *g*irl *f*riend's use up your time (-) looking in the mirror, *fg*, while you downstairs, (bottom) *g^2* two go. If that helps anyone...but thanks for the video.

[@NarutoAOF]

hey, you don't know what this means to some of us, brilliant work. What an amazing era we're living in.

[@patrickjmt]

you can that about most everything you learn in school...

[@keeler1160]

did the second example simplify any further?

[@nkurunzizashadrack2059]

You are the Best i swear!!! thank you so much!! i wish i have found long time! nevertheless, i'm gonna have stress-less exam on Monday.

[@AliaMarvel]

patrickJMT, thank you for all of your help! :)

[@XgtkidX]

you sir, are good at what you do!

[@ElisavanYaslana]

in the advanced sciences (O-chem, physics, engineering of most types, computer science , etc.) calculus and derivatives are liberally used and are highly useful. Depending on your aspirations this might actually be very useless.... or it could be central to your success. It's always better to be over-prepared, so just keep that in mind.

[@BangMaster96]

patrickJMT has probably saved thousands of students from dropping that Engineering degree, so in a sense, he is probably responsible for a lot of STEM graduates

[@patrickjmt]

i want a nerdy statue of me built somewhere. then life would be complete.

[@BangMaster96]

@@patrickjmt Lmao, your wish shall be fulfilled!

[@patrickjmt]

@TheMooee well i guess it depends on how you said it. if you were like: ' hey there is this nice free resource out there that maybe some of your other students may also like' , she will probably be a-ok. if you were like: hey, you really suck and the only thing that is helping me pass is this crappy class is this kick ass guy on youtube ' she will probably be a bit less excited to see you. : )

[@habte3]

Thanks man ! Simply the best !

[@AntiMeridian95]

patrick, you are my hero!!

[@mizzmya2008]

i'm glad you have neat handwriting!!!

[@jhademcconnell]

I missed class due to a field trip and you've put me back in place :D

[@fhansea]

My teacher taught us that mnemonic, but instead of "low-low" she says "square the bottom and away we go". Same concept, but I do appreciate yours being shorter in words!

[@bbortz]

Just a thought--it might be helpful to some viewers to have a video showing the derivations of the derivatives of trig functions.

[@thisyoureadwrong]

Thanks so muuuch! Im a junior at highschool & I had double block which was algebra 2 and pre-cal & to be honest i did not learn a thing my sophmore year because my teacher was just horrible and this year in my cal im struggling so much but thanks to you im finnaly learning :)

[@f1tzy0]

thanks very much all the other stupid websites crap on about stuff, and u get straight to the point and showed me how its done propally. thnaks to you my assignment should be good :)

[@eishambade]

thanks that really helped a lot .even my teachers dont get me understand all this so well.

[@12kate34]

Thank you so much!! I actually feel like I have a chance of passing the AP calclulus test now :)

[@CervC]

Thanks for the help, my brother referred me here. is that the final answer? @3:39

[@aikoromero]

Thanks a lot! Greetings from the Philippines..