❖ General Chain Rule And Partial Derivatives ❖

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  • Опубліковано 25 жов 2024

КОМЕНТАРІ • 256

  • @brandonspike
    @brandonspike 9 років тому +238

    I was 13 years old taking algebra 1 when this video was published. Now I'm 20 years old, taking multivariable calculus, and i couldn't be happier that i found this channel. You're awesome, Patrick!

    • @asemnafiz
      @asemnafiz 9 років тому +9

      Hope this video stays when your children are taking multivariable calculus.

    • @patrickjmt
      @patrickjmt  9 років тому +47

      asemnafiz they wont need the video, they will have me!

    • @ExperimentLife
      @ExperimentLife 9 років тому +27

      patrickJMT That doesn't sound right.

    • @amer81397
      @amer81397 9 років тому +1

      +Brandon R I'm 18 and taking calc 3 tbh

    • @sjard97
      @sjard97 7 років тому

      Lol, that's exactly my situations right now.

  • @dylanjohnson3734
    @dylanjohnson3734 10 років тому +102

    MY GOD I UNDERSTAND THIS.
    When I graduate, I'll pretty much owe my degree to Patrick here.

    • @shayman48
      @shayman48 10 років тому +18

      I think we all will....

    • @NiggaSlayer666
      @NiggaSlayer666 7 років тому +7

      Did anyone graduate yet?

    • @garnett657
      @garnett657 5 років тому

      @@NiggaSlayer666 almost

    • @dudeisawesome7202
      @dudeisawesome7202 5 років тому

      @@NiggaSlayer666 2022 hopefully lol otherwise 2023 but this man has been saving me so many times!

  • @VegasStreetLights
    @VegasStreetLights 8 років тому +28

    I enjoy getting high and then watching all of your videos. Your voice over is perfect for the stoned context. Pretty high right now

  • @lindsaycooper16
    @lindsaycooper16 11 років тому

    Hello, I just want to tell you how thankful I was to come across your channel! I have never been very good at math. When I started Calculus this semester, I came across your channel because I didn't understand anything in the class. You made everything seem so easy to me! I was one of the only two people who made an A on the first test with the class average being a 32. It was definitely a self confidence booster when it comes to math because this has NEVER happened. Thank you so much.

  • @hmmm0001
    @hmmm0001 12 років тому

    WOW! You explain in 10 mins what my lecturers can't explain in an understandable way in 10 hours. Not only do I pass exams thanks to your vids, I actually learn something too! You absolutely ROCK man! Will donate! :)

  • @TheThirdReigh
    @TheThirdReigh 13 років тому

    I have spent hours in the traditional college classroom and learned very little. I sit around my computer and watch your videos for 10-15 minutes and I able to understand and solve the problems within minutes. Your videos are excellent, thanks a lot.

  • @JoseGuillen422
    @JoseGuillen422 7 років тому +1

    thank you Patrick, i owe you so much and a lot of late nights cramming before an exam are spent watching your videos. stay safe, you are a blessing in the youtube world.

  • @akshaygujjar3113
    @akshaygujjar3113 9 років тому +9

    Love the tree technique! Makes it so much easier!

  • @swissirish1
    @swissirish1 10 років тому +37

    From one Patrick to another, you're a lot smarter than me.
    Also you're v's look a little like square root signs

  • @ahmedismail4743
    @ahmedismail4743 7 років тому

    Patrick I was watching your videos when I was in elementary school now am doing engineering and your videos are still quite handy to me, may God bless your soul wherever you're now 😊

  • @Chapelthewhite
    @Chapelthewhite 11 років тому

    That flow chart in the beginning (1:30ish) is a really brilliant way of looking at it! Thank you!

  • @tysterr
    @tysterr 15 років тому

    At my university we are doing this in Calculus 4.
    Patrick, thank you very much for doing these videos. They help more than you probably think.

  • @randomuser6064
    @randomuser6064 8 років тому +43

    this guy saving my stupid ass since 2014

    • @socialistguerrilla773
      @socialistguerrilla773 7 років тому

      shame that youre nazi trash

    • @randomuser6064
      @randomuser6064 7 років тому +1

      and you're a human disgrace

    • @Aer01614
      @Aer01614 7 років тому

      But why the hatred when you guys are actually more similar than not. After all you are both socialist. Nazi party was the National SOCIALIST German Workers Party.

    • @MrEnglishWorld
      @MrEnglishWorld 7 років тому

      He is also saving mine now, and in future I guess
      LOL

  • @patrickjmt
    @patrickjmt  12 років тому +2

    thanks! telling others about the videos is the best donation you could make! :)

  • @MrMafala
    @MrMafala 9 років тому +10

    I can't thank you enough Patrick, each lecture you give is incredibly helpful and simplified. you awesome man! the only problem is that you are left handed and you obstruct me quite a lot when trying to take notes. LOL. I AM KIDDING.

    • @patrickjmt
      @patrickjmt  9 років тому +12

      No, you are correct, my hand is often in the way but, that's how it goes

  • @Zyloly
    @Zyloly 11 років тому +1

    My textbook is full of jibberish and it takes me 30mins to an hour to finally understand what the heck is going on, but your videos in just approximately 10mins you cover what an hour lecture and of textbook reading would cover..thank you so much..You can be sure once I get my degree and a well paying job I will gladly donate my fair share :)
    P.S I'm currently studying Computer Science

  • @alvinramnarine314
    @alvinramnarine314 9 років тому +7

    patrick you`re the best dude.keep up the good work.

  • @siyuanthesuper1
    @siyuanthesuper1 9 років тому

    Man thanks patrick. you saved my grade since 7th grade. now im in college, and im still watching your videos. thanks very much.

  • @parkourepic2D
    @parkourepic2D 6 років тому +1

    finally someone that can explain this without being vague or stuck up!

  • @ragedxgamer7923
    @ragedxgamer7923 7 років тому

    I am in love with your teaching methods , even our so called qualified teachers are not able to teach us like your simple tutorials. May God bless you.peace.

  • @williamreyes3801
    @williamreyes3801 11 років тому

    OMG, thank you Patrick. My professor spent 1hr and 30 min trying to explain this and "FAILED" and it only took me 9 min on UA-cam to understand it. GO University of Patrick!!!!

  • @Eruption1O2
    @Eruption1O2 11 років тому

    PatrickJMT: the math savior of the internet.

  • @DreamBig2GoBig
    @DreamBig2GoBig 12 років тому

    Dude you're actually the best. A textbook can give you the formula, but you always need to learn it at least three different ways to master it conceptually. Your videos are one of my frequent stops.

  • @bjdooi
    @bjdooi 11 років тому

    THE TREE DIAGRAM HELPED ME OUT SO MUCH, I CAN DO THESE WITH MY EYES CLOSED NOW!! THANK YOU SO MUCH PATRICK

  • @KoolViking3
    @KoolViking3 8 років тому

    Man, you know your maths and you know how to teach it! Thanks a million!

  • @amrotarek9893
    @amrotarek9893 5 років тому

    I was eight years old when this video was published , and you know what ? This guy teaches mathematics better than my university's professors who gets thousands of pounds every month ! He doesn't have the number of certificates they have but he is better than them ! Thanks Patrick ❤️

  • @ibrahimnasir4487
    @ibrahimnasir4487 11 років тому

    i was gonna say "I wish you were my prof" an then i realized you already are. you replaced him a long time ago. I'm pretty sure my entire year learns from you more than our actual prof. Thanks so much Patrick, you really are my Hero

  • @monicagarcia1104
    @monicagarcia1104 7 років тому

    i just love how you explain every video .... u make it way easier... thanks a lot

  • @ArtyomMP01
    @ArtyomMP01 4 роки тому

    After 12 yrs your video is among the best

  • @TheBaseballman1990
    @TheBaseballman1990 14 років тому

    thank you for this, my teacher just gives up when the harder problems come around, this video is literally the only way i can learn this!

  • @DavidJHilt
    @DavidJHilt 13 років тому

    I like treating each component as a branch. That's a very clear way to think of it.

  • @amritdhanjal8781
    @amritdhanjal8781 7 років тому

    Patrick I love u keep making math videos and saving my GPA

  • @Beatmastapat09
    @Beatmastapat09 8 років тому +4

    PatrickJMT is the only dude i support on Patreon and its still paying off! way to go man!

    • @HERKFOOT21
      @HERKFOOT21 8 років тому

      May i also suggest looking up youtube user ProfRobBob, best math teacher i've seen yet!

  • @pendolly
    @pendolly 13 років тому

    panic!panic!i have my first calculus exam coming tuesday.thanx patrick for the good work you do

  • @PiratePrinceEdward
    @PiratePrinceEdward 9 років тому

    I've been struggling for this for a bit. You make it look so easy!! Definitely subscribing to this channel. Thank you, seven year old video!

  • @wlmngtn310
    @wlmngtn310 14 років тому

    Wow, you are simply the greatest! If only all my professors were as good as teaching as you are.

  • @sincerepjpf5115
    @sincerepjpf5115 8 років тому +27

    -Thanks so much... ''I'' depend on ''U''

  • @shaheerkhan2896
    @shaheerkhan2896 6 років тому

    i miss my most of calculus classes because i know patrick is gonna cover for me:-) thanks man...

  • @KronesianLTD
    @KronesianLTD 8 років тому +3

    Appreciate it mate, much better explaining it than my professor.

    • @patrickjmt
      @patrickjmt  8 років тому +1

      glad i could help you out :)

  • @Atsuke
    @Atsuke 13 років тому

    "With respect to u."
    NO. Respect to YOU, not me. You are a freaking lifesaver.

  • @yashvlog8933
    @yashvlog8933 6 років тому

    Where were u these days sir!!!!!really made my day......easyyyyy

  • @akatsukiabima9942
    @akatsukiabima9942 9 років тому +5

    In less than 10 minutes I learned more here than I learned from my prof during the whole semester.... life is sad

  • @ramosk95
    @ramosk95 10 років тому +10

    I bought a sharpie because of you!!

    • @hadriennouvel2665
      @hadriennouvel2665 5 років тому

      It's "because of u" lmao
      With my respect to u 😂

  • @patrickjmt
    @patrickjmt  16 років тому +2

    nah, just a normal guy making vids on youtube! glad i could help though : )

  • @ncs9334
    @ncs9334 8 років тому +8

    Dude u just earned my respect, and a like too!!

    • @patrickjmt
      @patrickjmt  8 років тому +5

      glad you liked the video!

  • @احمدسلام-د6ت2و
    @احمدسلام-د6ت2و 7 років тому +9

    بالعربي شكرا انت الأفضل انت ساعدتني بالرياضيات love you

  • @ludog014
    @ludog014 12 років тому

    OMFG, great video man, you just cut down so much studying.... thank you!!!!!!

  • @quoctrung2610
    @quoctrung2610 5 років тому

    Uploaded in 2008 and still pretty useful in 2019. Please don't remove this video. I think people still need it in 2100.

  • @patrickjmt
    @patrickjmt  15 років тому

    yes, you are just using the product rule in essence

  • @mashable8759
    @mashable8759 8 років тому

    Patrick JMT teaching world maths since forever :D

  • @Pigrabbit1412
    @Pigrabbit1412 9 років тому +1

    OMG UR THE BEST!!! U MAKE EVERYTHING EASY TO UNDERSTAND!! THANK YOU SO MUCH!!!

  • @tankmohit
    @tankmohit 5 років тому

    It's very helpful for me to understand backpropogation algorithm. That tree method is very similar to ANN.

  • @kyshark1
    @kyshark1 11 років тому +1

    Hi Patrick, Your videos are just amazing and is helping me to re-learn some of the basics after almost 10 years of no contact with maths! Thanks. Could you please double check the end part as I'm a bit confused about some of the partial derivaties that you did (specially with constants)? maybe I'm confused...but any help would be great.

  • @emrearslan1797
    @emrearslan1797 8 років тому

    You're the best I don't know what else to say but I'll just say it one more "YOU ARE THE BEST !! "

  • @patrickjmt
    @patrickjmt  14 років тому

    @MajinAmmaar no, not exactly; i assume you are in first semester calculus, so you are still doing single variable stuff; this has to do with multivariable stuff. technically this applies to what you are doing, but the general power rule is a specific rule versus a general procedure (which this is)

  • @88thotho
    @88thotho 8 років тому +1

    i appreciate the way you teach.

  • @caseyhenderson1465
    @caseyhenderson1465 5 років тому +1

    Nothing against Khan academy... but I love your videos so much more!! Thank you so much for your videos

  • @Dusevic
    @Dusevic 14 років тому

    nooooooooo way the second question was the exact question i needed help with, same variables and everything!

  • @AlinaCrystal
    @AlinaCrystal 11 років тому

    You are amazing and I don't think you can hear that enough.

  • @patrickjmt
    @patrickjmt  13 років тому

    @n00dl3head happy that i could help you a bit : )

  • @jxe1030
    @jxe1030 11 років тому

    You Make It Look Sooo Easy !!! Amazing Videos Keep It Up !!!!

  • @Koralxox
    @Koralxox 8 років тому

    You have saved my ass on exams sooooo many times. Thank you

  • @patrickjmt
    @patrickjmt  12 років тому

    glad you like my videos :) come back any time!

  • @lanner777
    @lanner777 14 років тому

    Wonderful job, made my professors scribbles on the board seem like chicken scratch!
    Keep up the amazing work!

  • @MiaLynify
    @MiaLynify 8 років тому

    Great video! Way better than how my prof taught it.

  • @commanderkool868
    @commanderkool868 14 років тому

    @bfferz in the second example he uses the partial of x to u because x depends on more than one variable, in the first example x only depended upon t so the derivative was used rather than the partial

  • @massem100
    @massem100 12 років тому

    great work patrick

  • @J4e8a16n
    @J4e8a16n 13 років тому

    Yes! That's clear. Maybe I was ready for it but you for sure trow light in my life.
    I am ashame not to have draw the tree of implicit differentiation by myself :o)

  • @HiThisIsPatrick
    @HiThisIsPatrick 11 років тому

    I LOVE YOU THIS MAKES SO MUCH SENSE

  • @varlikkzloren37
    @varlikkzloren37 8 років тому

    BEST EXPLANATION EVER

  • @pranabesganguly861
    @pranabesganguly861 6 років тому

    excellent...... superb, outstanding, magnificent, highest quality, of the highest standard, exceptional, marvelous,

  • @terrybutler5831
    @terrybutler5831 12 років тому

    I'm guessing that it would just be so complicated with having to use the extended Product Rule. But I'd like to hear Patrick's answer, too.

  • @patrickjmt
    @patrickjmt  12 років тому

    there is a donation link on my channel page if you feel that bad about it... :)

  • @eggrollXXXM
    @eggrollXXXM 16 років тому

    is this really the beginning of calc? because it so, that's amazing.

  • @harkerhh
    @harkerhh 14 років тому

    The chain rule for normal functions is for calculus 1 but this is multivariable calculus (calc. 3 in my U) so its a different chain rule.

  • @luisangel1251
    @luisangel1251 9 років тому

    Saved my day once again! Thanks!

  • @JohnSmith-bj7uc
    @JohnSmith-bj7uc 9 років тому

    This video helped so much. Thanks man!

  • @floppyskater07
    @floppyskater07 9 років тому

    Thank you very much man ! You are very good at explaining this!

  • @altSt0rm
    @altSt0rm 13 років тому

    Really useful and informative. Thank you!

  • @Dusevic
    @Dusevic 14 років тому

    @patrickJMT must be. Thanks for the help!

  • @franceschua7712
    @franceschua7712 7 років тому +2

    YOU ARE THE BEST !! THANK YOU !!!

  • @penta4568
    @penta4568 8 років тому

    bro you're my hero

  • @Ravel1299
    @Ravel1299 10 років тому

    Thank you Patrick!

  • @thimmyb
    @thimmyb 12 років тому

    This is awesome! Thank you for the effort! I kind'a feel guilty for not paying you.

  • @jiayunxiao509
    @jiayunxiao509 10 років тому

    Ur videos are really helpful!!

  • @applelacquio8862
    @applelacquio8862 8 років тому +1

    Youre such a BIG HELP! Thankyou! THANK YOU!!!!

  • @mufarowashemarecha4836
    @mufarowashemarecha4836 7 років тому

    well explained .......luved it

  • @usman7869ful
    @usman7869ful 8 років тому

    Such a beautiful work i cannt explain here please expand this procedure...you are nice

  • @8409055881085
    @8409055881085 6 років тому

    oh,my God.I understand this .THANK YOU A LOT,May God bless you.

  • @patrickjmt
    @patrickjmt  14 років тому

    @Dusevic magic!

  • @trickoff
    @trickoff 13 років тому

    would love to see a second order derivative with chain rule!

  • @ctyatee6691
    @ctyatee6691 9 років тому

    i love all your video. you are awesome. all your video really help me. thnk you so much

  • @paulstoma4425
    @paulstoma4425 6 років тому

    thank you Patrick

  • @loik345
    @loik345 13 років тому

    You are a life saver.

  • @chhasnat9539
    @chhasnat9539 7 років тому +1

    I wish you were my Multi variable Calculus Professor.

  • @msbijja
    @msbijja 8 років тому

    PATRICKJMT FOR PRESIDENT!

    • @ReWolWerKillZ
      @ReWolWerKillZ 8 років тому

      +ili A Make Calculus Great Again

  • @anonvingeta66ymous
    @anonvingeta66ymous 11 років тому

    you have no idea how glad i am you exist dude :'|

  • @viveknaidoo129
    @viveknaidoo129 10 років тому

    Thanks Patrick! Genius!

  • @marinapro7601
    @marinapro7601 6 років тому

    thank you very much for this nice lesson

  • @xThoth19x
    @xThoth19x 11 років тому

    That's what I'm wondering right now. I think the best way to find out is to see if it gets the same answer.