❖ The Chain Rule ❖

[@patrickjmt]

Hi all! Wanna help a KZbin education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)

[@patrickjmt]

Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other! Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!

[@hayoo9470]

thank you

[@parthgupta7515]

log cosx

[@kiely2851]

Patrick for president

[@patrickjmt]

+nemo i'd be a terrible president.

[@h2opolo433]

+patrickJMT still better than trump. thank you so much for these videos

[@MrThatsYe]

+h2opolo433 Nah Trump ftw. Democrats put up a socialist and hillary benghazi clinton. Going to the repubs this time!

[@heathermiller5413]

I like trump. I like Patrick too...

[@ayushshah2103]

When do I use this and when do I use the product rule???!!!!

[@sbk1398]

U should make videos on how to live. Ur teaching is so easy to follow. thank u

[@ayushshah2103]

When do I use this and when do I use the product rule???!!!!

[@RexReedemer]

I love how my professor who carries a PH.D makes something like this seem so hard to learn. I thank Patrick for making it so easy to comprehend. Definitely will be doing better now on the upcoming exam

[@syacks]

Explained the concept better than my math teacher and, more importantly, better than khanacademy! Thank you so much (:

[@JohnnyYenn]

I came here from Khan Academy as well looking for a better explanation! :)

[@Shylock7788]

Patrick, I must thank you for creating these awesome videos. I'm a 30 year old returning student, and so I haven't seen much of this in quite a few years. I was really stressed out when I started my Business Calc class, and so I spent a great deal of time studying. I stumbled across your videos while looking for Math lessons on KZbin. Thanks to your instructional methods, I am no longer worried and am really starting to grasp the material. Thanks for all that you do, sir.

[@mmb314]

I just want to tell you how much I appreciate these videos! I hope you realize how much of a different you make - I would never have been able to pass my first semester of calculus without you. thank you so much!

[@lapeeweeloka]

I took Calculus in college for the first time this past summer. I had only 5 weeks to master it and I aced ALL of my tests. I owe a lot of that to your videos! Thanks so much for posting them, they are really helpful!

[@TK_Cadence]

I swear calculus professors are so methodological to the point of having no relativity to people who do not understand mathematical terms for example dy/dx.. me (student) thinks "So this is like derivative of y over derivative x" when it is really derivative of y in respect to x. The terminology really leaves me in a derpy mindset in class and I'm like "what is this i dont even.." class ends and the professor sounds like hes speaking gibberish. PatrickJMT's real power is simplifying methodological language and at the same time making mathematics tangible to everyone. Your the man.

[@oneonta310]

don't think of dy/dx as a fraction

[@nicholasmaloof8378]

Agreed, the notation in math is pretty hard to overcome.

[@nicholasmaloof8378]

I like to think of it as f'(g(x)) * g'(x). It's easier for me to visualize what's going on this way.

[@alfiechung]

man. u have helped me for like.. so long now. text books and professors just confuse me, i love the way u explain it so simpily without all the alien language

[@patrickjmt]

@therock343 well, this is meant to be a basic introduction to the chain rule, not the hardest problem ever. i do have harder examples using the chain rule if you wanted to look for them.

[@Jagnarox]

I love you.... no seriously. Have my Calc final tomorrow, needed a review and found all of it on you website and video. Saved my life

[@Camillelele69]

ive been reading my textbook over and over trying to get this chain rule down as well as watching a bunch of other videos but you really got my to understand the basics of it thank you!!

[@alicelala2194]

thanks! Seems you're the only human capable of explaining this congratulations

[@MrDefibulator]

Thank you so very much! My teacher is great but it's hard to understand him when there's other people constantly asking him questions and making him get off track. You helped me piece together everything he's been saying. You really saved me! I thought I would never get the hang out this.

[@rr78884]

thank you so much. you have helped me pass college algebra last semester and now you are about to help me pass business calculus. i love you!

[@RawringShoelaces]

Your youtube videos are saving my math grades. You're the real mvp. :D

[@toadsworthrox]

Thank you for posting these. My calculus professor was getting really frustrated when I tried asking how to solve using the chain rule. It made absolutely no sense to me and it's my last math class I need to take. Thanks again for the help!

[@deiz92]

He's teaching us how to do it, not how it becomes. He shows just enough to get people using the method to pass their tests. And for that I thank him! "Thanks Pat"

[@DJAnthonyillWill]

I'm nine classes away from graduating and I had to revisit your videos. Although I've already taken a few Calculus classes, I had to relearn derivatives for my upper level economics classes. Thanks for the videos!!

[@PearlsofMermaid]

I have been struggling with this stuff for almost a month. My teacher has never made it out to be this understandable. Thank you so much!

[@12emake]

Thank you for all of these videos. My Calculus final exam is tomorrow at 11:20am. I've watched pretty much all your videos during my Summer semester. Thank you so much for posting these videos! You explain these better than my professor....

[@patrickjmt]

@kazam92 i agree: the chain rule is certainly the most confusing of them. the fun part is when you get to combine all the techniques, then factor and clean it up, etc.. come back any time! i have calculus playlists and extra stuff that i have forgotten to put in the playlists.

[@TheSpiralTeselation]

Almost every lesson I have confuses me in one way or another, and every time I watch one of your videos I have the "Oh, THAT'S what he meant!" moment, and I would like to thank you for all of your help.

[@juwonkim1837]

the best teacher ever.

[@patrickjmt]

you are too kind :)

[@rageplays8551]

i wish i could hug you right now man , thank you

[@jeveuxlesoleil]

LIKELIKELIKELIKELIKE. When you wrote down the fcn after 2:30 I literally squealed with happiness. I have one of those on a midterm review and the exponent at the end was driving me nuts. I was overthinking it entirely. Thank you SO MUCH!

[@kristynicole6201]

Patrick JMT deserves a Nobel Prize... Ima email the committee right now.

[@muhammadamirudin08]

Tq for voted me as nobel price winner

[@shenrondragon191]

Kristy Hamlin yes literally

[@aaronshenk]

this was SO helpful. You saved my grade near the end of the semester. Much appreciated Patrick!! :)

[@SodaSpitter2100]

Thank you! It took my teacher 80 minutes to explain this and you did it better in 5. Again, thank you!

[@TheExcluZ]

You have saved my life in the world of math multiple times. Thank you for your existence my guardian angel.

[@patrickjmt]

@ShylockEffect my pleasure. welcome back and good luck in your studies

[@201katara]

Patrick, you are the only one on youtube who I trust to be my math teacher!! THANKS SO MUCH!!!

[@DrHue-qt5ve]

11 years later and still relevant. These vids r so helpful.

[@GrimTurtle7]

You literally made me understand this in 4 minutes while my teacher couldn't make me understand in an hour and a half. Thank you!

[@GothicSilverWolf666]

Wow you just saved me from failing a take home quiz completely on chain rule. Dude you are the best.

[@jahgrizzly]

Your explanations and break downs of these lessons are extremely helpful.. Keep 'em coming!

[@alexandriacastaneda7829]

Professor said to visit you if we have anymore questions. you're the best!

[@malkotoPor4e]

You just facilitated my life! I spend 2 hours figuring out the crap written in the book, and i still couldn't do them. Thanks a LOT!

[@RuSZie576]

thank you! my math test is this wednesday and 30 mins of watching your videos really helped!

[@ebo7604]

seriously you are the best please keep up the good work. I truly love how you break down the problem so thoroughly,after watching your videos i ask my self how i was intimidated by calculus. Thank you very much!

[@mr.danielolivobapctcna8322]

Thank you. I understood the second example a lot more than the first one you did. Keep up these videos because they're helpful!

[@muzamilkelam2957]

Ten years on and your videos is still helping. Thanks bro😎😎

[@youngzzterwiil27]

Everyone, lets all just take a moment and appreciate Patrick for his amazing work. Thanks man.

[@Evarya]

ur amazing. my textbook, professor, and khan academy all made it seem so complicated but you explained it so well. thank u :)

[@thepoorcapitalist]

THANK YOU SOOOOO MUCH!!! im in college at oklahoma state univerisity and you just helped me out a TON in my business calculus class!

[@trailder]

Thank you so much, taking Calc II right now and it's been over a year since I took Calc I so I needed to refresh my memory on the basic rules. :)

[@thetman22]

you helped hundreds of thousands of students succeed. You are a hero

[@diornotwar123]

Ahhhh, this helps A LOT!!! Makes so much more sense when someone else explains it. I'm taking calculus through correspondence, so I'm basically teaching myself. Thanks again!!! :D

[@mohamedlt4]

The best math ate by step math video I've seen. Good job. And thanx

[@Theluckyfrogful]

Finally someone I understand. Thanks Patrick!

[@patrickjmt]

my pleasure! come back any time

[@samhouston1288]

I was getting the hang of derivatives, but the chain rule had me completely lost. Thanks for the tutorial. It was a ton of help, and now I understand the chain rule. :D

[@misslyza9018]

I've been watching your videos every time I forgot something about Calculus. You're awesome! Last thing I have to say.

[@botanysilkiebreeders7732]

We going to uni baby! Thank you so much. missed a couple days (literally 4) and didn't study over the christmas break i had for my summer school and came back with 4 weeks left and feeling totally lost on how to tackle this but i feel like im finally catching up. thank you thank you thank you

[@samthenextgeneration]

I love it! The other videos I watched took too much time, as they read out every. Single. Problem. Thanks for the simple yet super clear video!

[@konanuk]

awesome explanation. In less than 5 minutes you explained it better than my professor did in two hours.

[@patrickjmt]

@chipuarbuu wonderful! however, some of the videos on here on youtube but NOT on the site just yet, so you may do a search here as well. otherwise, the calculus stuff should all be in order.

[@blinkatreyu]

You explain it so much better than anyone else thank you so much, your videos have helped me understand alot of Calculus :)

[@mypinkdollprincess]

I was confused as hell trying to figure out the chain rule. You explained it in 4 minutes. Thanks!!

[@ballinanime33]

ya know this is actually what i needed, just a quick little demonstration to get me rollin on it thanks !! now ill ace my test tomorrow

[@handlexz]

I'm pretty sure this is my first ever comment on KZbin or otherwise. Tis a great day I found this video and thanks for helping me understand something my Calc teacher poorly handled for many a weeks.

[@mrhe832]

My AP Calc AB class meets every other day and is 90 minutes a period. I spent nearly 75 of those minutes doing the chain rule, and barely understood what the hell my teacher was talking about. You showed me how to do it in under 5 minutes. Thanks so much!

[@md-ayaz]

Most intuitive approach of teaching. Thank you.

[@FiresDoFly]

After watching this, it makes me think that teachers could become obsolete one day, when they can just hook up a projector with videos like this on it. Thanks for the help.

[@darkrifle]

DUDE U ARE THE BEST, if i watched this vid b4 my MId sems I would have passed....and it just takes 4 and a half minutes!

[@Starscream202]

dude, you cant imagine how much your vids saved me

[@KBMinc]

Theres a huge difference between teachers who know there stuff and teachers who know their stuff and can teach it to students. Patrick you sir know how to teach!

[@danils78]

Thank you for being my maths teacher for so many things tonight (:

[@patrickjmt]

glad you like them! : )

[@rsgirl10]

Wow, here I was thinking it was a complicated version of the product rule. So glad I got that straightened out!

[@lisandrahernandez2614]

PatrickJMT is the real MVP!!!

[@akvolkswagen]

I don't understand how this man can explain things so well, whereas my professor can't even remember the section we are in!!!!

[@MusicDJz1]

Lifesaver! Just started Calc 2 and forgot how to do a lot of the stuff in Calc 1 (took it 3 semesters ago O.o). I got this.

[@SenLightyear]

Wow dude I am in the same exact boat! Godspeed!

[@MusicDJz1]

astro_yesi good luck to you!

[@narturo994]

***** Same situation here! This guy and WolframAlpha are the real MVPs.

[@davitroykeane]

thanks man it took you 4 minutes too teach me what my professor couldn't teach in 2 hours

[@ChivalrysDownfall]

Paying 5 grand a semester just to spend every night on youtube. Imma quit school and come live with this guy.

[@dominoefffect]

your videos are totally awesome and i have been watching them for all my calculus chapters! :)

[@Zoidberg227]

Thanks for the great review! Haven't had to think about the chain rule for a while, so I'm a bit rusty when it comes to this stuff.

[@TheEirica]

i.....LOVE you man.... i think you saved my life, cos the calc teacher just teaches us the longest way ever xD

[@Capon3d]

Thanks so much for this. The book I'm using uses some impossible notation (dw/dx=(dw/du)*(du/dx)) but this makes it so much easier.

[@93Grimmy]

Better than Khan academy by far since you use paper instead of some where program. Very informative finally got me to understand the chain rule (Which i have struggled with all semester). Thank you!

[@praveenmks8610]

Your method of teaching is good and very easy to understand. I like it and thank you very much.👍

[@kowshikbhanu448]

THIS GUY IS HELPING ME TO DO MY HOME WORK....

[@ChobiJr]

Thanks for all the help! Its nice to have these video's online. =)

[@bigyarsalz]

This man is helping me pass AP Calc

[@FireVortex720]

Keep it UP, you rock Patrick!

[@SemiToneBlew]

Haha, you're waaay better than my Calculus Professor, I gotta thank you, from an F I ended up with an A+, thank you!!

[@lemmingsfly]

thanks so much you are so much more helpful then my senior citizen professor who skips over every step

[@patrickjmt]

yes, i prefer this way toO! glad it helped

[@7Blz]

Thanks people like you are a very good help to college students

[@patrickjmt]

@arturomlk92 to say they are useless is to go to the other extreme. they certainly are not useless. however for most students they do end up being irrelevant.

[@drumandball]

You made a mistake in part one of question 4 when you said f(x)=x^2+sin(30)+2x^6....Just kidding. Now that I got your attention...thanks for making calculus easier.

[@reereeg7325]

😂😂

[@Sorites]

Not gonna lie....he had us in the first half.

[@edgarb.6187]

Thanks man!!! Really need this for my AP Physics class.

[@ksapproved5615]

Your videos are incredibly helpful, thanks so much for posting them!

[@jlarellano7350]

you're a much better teacher than my teacher. I could hardly understand what she's saying.

[@cicilypatil8342]

saving my life ever since I took Calculus... I Just want to say thankyou :)

[@ApolloLeRoux]

Man helped me pass pre calc and trig.

[@13vestige]

THIS MAKES SO MUCH SENSE THANK YOU

[@stephp005]

wow i never thought this was so easy! my proff totally made it seem so difficult thanks!

[@xavsan8013]

Its an honor to be able to Suscribe to ur channel Patrick.