General Chain Rule - Part 2

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! General Chain Rule - Part 2. In this video I finish off two examples of the general chain rule from Part 1. For more free math videos, visit PatrickJMT.com

[@ronaldkul3400]

tree diagram makes life so much easier man. good stuff (2017)

[@lucas4ovwales]

Thanks for this. You have helped explain what 6 hours of maths lectures couldn't!

[@rerer546]

YO WHAT ABOUT SECOND ORDER CHAIN RULE NIGGA???

[@carl_yung]

.... nigga, wya? @patrickJMT

[@polishhammer1992]

Time and time again I watch your videos and I always receive results. You are a blessing to students everywhere. Such a concise clear way of teaching. I probably would have switched majors out of engineering if it weren't for you. Mathematics seems like a breeze now! Keep up the great work and god bless!

[@sorakairirever9]

I'm self teaching myself Calc III and Diff Eq this summer because my high school ran out of classes for me. You're amazing help for clarifying little details. Thank you so much! Sharing you with all my friends taking Calc I this year.

[@sondersoul1]

Okay, so it’s 1:30am and my roommate and I just used your part 1 and part2 of this to help us to fix the mistake her boyfriend who is in calculus 3 made on a problem. (Keep in mind I’ve never taken a calc class and she got a C in pre calc) at first it was a joke but we literally watched your video and within an hour we were able to solve all the problems and he’s soooo confused! So thank you! Lmao! Now I weirdly understand some math equation I will never use in my life again! 💗

[@patrickjmt]

maybe you should switch majors! :)

[@melbana92]

i just want to let you know, that on friday i had no idea how to do this, and i had a quiz on it that day,after watching this video and part 1, i know for sure i got a 100. you are a god.

[@xfootballer81]

Patrick, i would just like to say thanks, without you i would probably have flunked out of college, or at the very least out of my major. You are now in the process in getting me through vector calc after helping me through calc 2. I wish i was paying you several grand instead of my college since my teachers are utterly incapable of teaching and do not care about their students one bit. I enjoy learning math from you and wish more teachers taught like you. You should teach teachers how to teach!

[@journeyboy-.9971]

Thank you so much Patrik. Very helpful!

[@mocool13]

I finally understand this. Thank you so much

[@oneinabillion654]

Just finished A levels and already starting calc 3!

[@patrickjmt]

no no! thanks for pointing out mistakes : ) i honestly do appreciate it. i have over 50 hours of vids... some certainly have mistakes! when i know about them, i can make annotations about them to point them out : ) so thanks once again!!

[@patrickjmt]

@xfootballer81 my pleasure, glad the vids have helped you so much

[@Ivanmsr]

I know someone's already mentioned it before on your page, but it would be great having people with better teaching skills at universities, rather than those who mainly conduct their own research. We all have our own textbooks we can turn to as reference, sure, but the lecture should be a learning experience too. You take your time and explain concepts with clarity (something rare at my university) :) I'd write more, but I am limited with character count here! Thank you so much! :D

[@guru-pathik]

Still helpful in 19'. Thanks man

[@patrickjmt]

@Ivanmsr i agree. i think there is something a wrong with the way math is taught in the usa

[@MFGBG123]

Thank you very much! Im not sure that I understand why this rule works but at least now I know how to use it!

[@okckd43]

Why do I pay my Calculus professor thousands of dollars to mumble to himself and scribble on a chalk board in front of me for 50 minutes when I just come watch Patrick's video after and learn it in 10 minutes?

[@ThePerfect1077]

and repeat, playback a bit, fast forward just too gooood

[@smally809]

Thanks to this guy I'm gonna ace my end of term.

[@chestypants78]

That 'tree' diagram, may well save my bacon on Friday. I can't praise your videos enough.

[@davedaniel27]

great video man

[@ankurghosh2387]

Wow tree diagram is so easy and useful! Thanks a lot.

[@balli2195]

Please keep making more videos! do you plan on making any upper level math course videos? abstract algebra, topology...?

[@MohammadMahadiHassain]

Easy and Nice Explanation Thank You From Bangladesh

[@youmah25]

very good efforts thank you very much

[@patrickjmt]

@altSt0rm yes, somewhere

[@isaacnewton2855]

Thanks a lot

[@AkilHenry]

now i understand! THANKS PATRICK :)

[@patrickjmt]

ahhah! sweet! those are the best comments! what part of japan are you in?! i may be tokyo for starting about the week before christmas... you can take me out for a beer as thanks for all my hard work!! : ) heheheheh

[@supawilly]

Hey, much thanks for the help. Just one thing, knowing how evaluate partial derivatives of multivariable functions is good and all, but don't you think seeing/knowing where the chain rule comes from (proof of chain rule) is crucial? Maybe it's just me, but I find it hard to take things for granted. I'm not sure if you've a video for it, but it would be nice if you could make a video about where the general chain rule comes from, and how the product and quotient rules can be obtained from it. TY!

[@sambhavisiva]

your video helped me a lot thank u.....

[@davidontiveroz8295]

BRB GETTIN' ALL HYPED UP ON MATH MA BROTHA YA HEARD!

[@yaren2931]

Nice.

[@patrickjmt]

boo ya! glad u like it

[@AngelxTear]

no doubt these are awesome videos .. but it kinda makes me feel stupid when u simplify the problem .. thanks for your hard working

[@altSt0rm]

Do you have a video on second order partial derivatives and mixed variable second order partial derivatives?

[@souled876]

Thank you..!!

[@xPhytoss]

So troll Mr.PATRICK! SO TROLL!

[@barryhughes9764]

Why can't I cancel out the partials......which would result in the right hand side of the expression being twice that of the left hand side? Why is DY/DY or DX/DX not equal to unity. [using " D " to represent partial ] Any insight would be gratefully appreciated.

[@ThePerfect1077]

what do u mean? like if u have (a/b)*(c/a) why u can't just write (c/b) ?

[@anethu4540]

You are a blessing to humankind

[@patrickjmt]

@melbana92 congrats : )

[@mustafabarzangy7957]

thank u so much u the best

[@morganfreeman3692]

all of a sudden... life is good :)

[@tshepojaphta8718]

thanks man u r a pro - via YouPak(.com)

[@youmah25]

he is agood math teacher not a god

[@RohanSharma-tf3fn]

Youcef Mahdadi teacher is a god