The Chain Rule

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  • čas přidán 9. 09. 2024
  • Part 4 of derivatives. Introduction to the chain rule.
    Practice this yourself on Khan Academy right now: www.khanacadem...

Komentáře • 457

  • @batuamparh
    @batuamparh Před 9 lety +148

    "But you're more important so i will not answer the phone" .... we need more teachers like you sir

  • @nataliel7958
    @nataliel7958 Před 9 lety +1097

    prioritizing me over your phone call makes me feel so damn important

  • @alexcao4184
    @alexcao4184 Před 8 lety +245

    Thank you for reminding me of my importance and not answering that phone. You Rock.

  • @SneakerHeadInTheBay
    @SneakerHeadInTheBay Před 11 lety +124

    WHY DO WE EVEN HAVE SCHOOLS? I LEARNED MORE IN 9 MINUTES ON HERE, THAN I DID DURING MY WHOLE SCHOOL DAY.

    • @h.l.69
      @h.l.69 Před 3 lety +1

      Oh sweet child. Internet does not forget. Personal data = currency, we are products.

    • @teferra444
      @teferra444 Před 3 lety +8

      @@h.l.69 lol what does this even mean

    • @dayviduh
      @dayviduh Před 3 lety

      @@teferra444 it means he’s smarter than everyone

    • @novaastronomia8720
      @novaastronomia8720 Před 3 lety +1

      Because he is a good teacher, he explains clearly without mysteries and everything under control and somewhat friendly circumstances that's why HE is the best teacher online.

    • @jokerryt2503
      @jokerryt2503 Před 3 lety +2

      @@h.l.69 wow ur cringe

  • @Wignut
    @Wignut Před 8 lety +167

    Crazy to think that this was uploaded in 2007 and yet (aside from video resolution) is much better then allot of other tutorials uploaded now.

    • @avnikachhikara4267
      @avnikachhikara4267 Před 8 lety

      agreed

    • @Ahmed---f9291
      @Ahmed---f9291 Před 8 lety +15

      It wouldn't be crazy to think that a tutorial from a good mathematician 100 years ago would be much more helpful than one from a mediocre mathematician now, imo.

    • @josephgurgui8686
      @josephgurgui8686 Před 8 lety +4

      Agreed. Math is a truth that will stay the same through the ages. C/d will always be 3.1415926535897... for example, even if we decide for whatever reason to call C/d something other than pi all of a sudden

    • @SpencerP96
      @SpencerP96 Před 2 lety

      Ayo in 2022

    • @SpencerP96
      @SpencerP96 Před 2 lety +1

      @Akh Las hahaha got that Calc exam tomorrow got to hit up CZcams for the quick lessons 🤣

  • @OiYaPrick
    @OiYaPrick Před 10 lety +240

    Calculus: "Bear with for a moment here... bear with me... bear with me..."

    • @OriginalGanstaEnt
      @OriginalGanstaEnt Před 10 lety +43

      "Hopefully it make sense"

    • @DigitalChaoS
      @DigitalChaoS Před 10 lety +59

      "It's pretty sad I am showing you how to do derivatives in calculus, but I don't know how to ..... erase ... a faster way" lmaooooo

    • @paulgarcia2887
      @paulgarcia2887 Před 6 lety +14

      He is being held captive by a bear and is trying to call for help

  • @douglasnanu4671
    @douglasnanu4671 Před 8 lety +96

    You explained this to me in 9 minutes while I have had 4+ lectures on this and was this confused. Good explanation is everything

  • @naynay258
    @naynay258 Před 8 lety +93

    "It's pretty sad. I'm showing you how to do derivatives in calculus but I don't know how to erase faster..." I was watching this in my lab with my headphones on. I was laughing so much that people started looking at me. Anyhow, this is the best video. Thank you so much

    • @emlmm88
      @emlmm88 Před 8 lety +6

      What kind of lab were you in where your instructor let you sit around slacking off and watching CZcams videos lol?! If my O-chem teacher caught me pulling that shit I genuinely think she'd give me a smack!

    • @div_yam2304
      @div_yam2304 Před 5 lety

      @@emlmm88 IT lab

    • @TheMajesticKnight
      @TheMajesticKnight Před 3 lety

      @@emlmm88 My thoughts exactly

  • @andreperrard3923
    @andreperrard3923 Před 8 lety +94

    You taught me more about derivatives in shorts nine-minute increments than my awful teacher did all summer. Math is not fun for me and you made it SO much easier. Dear god thank you.

    • @Starksports18
      @Starksports18 Před 3 lety +1

      What do u mean by dear god is that for he helped you find khan academy

  • @segiaco
    @segiaco Před 12 lety +12

    Obama gets the Nobel Peace Prize and this guy doesn't? You are the man Sal! I can't tell you how many late nights we have spent together studying Calc and Chem! Keep doing what you are doing, everyone appreciates it :)

  • @sophc193
    @sophc193 Před 9 lety +33

    lovin how he starts w/ a little review and then goes through everything else slowly and patiently. "Someone was calling me, but you're more important": A+ teaching right there.

  • @AkidsukiLeader
    @AkidsukiLeader Před 10 lety +140

    @ 4:14 was the most CLUTCH moment of any video ever. If you have OCD you will understand lol

  • @MrAckeh
    @MrAckeh Před 10 lety +52

    Thank you man, i was so stressed, but watching you erase the board like that made my day and gave a little break :D

  • @dsonline43
    @dsonline43 Před 14 lety +6

    Did you hear that?? Phone rang and he said we were more important !! This guy is a fabulous teacher, amazingly so.
    Thank You for all your time and effort. Thanks to you I'm sure there are now kids out there who now won't choose a major based on how little math is in the curriculum.

  • @buggld
    @buggld Před 9 lety +23

    These videos not editing out little things like the phone call or him trying to erase stuff is just straight up amusing.

    • @datboidominican
      @datboidominican Před 6 lety +1

      Its those little steps you show that help us understand how to work the problems... Hopefully PROFESSORS IN UNI can find this comment and take note. Dont skip the small steps please. You might not need it but it helps those who do. Saves us and yourself some time from having to go back in the lesson just to reexplain everything. 👍 UCF! UCF!

  • @matheusminghini5088
    @matheusminghini5088 Před 4 lety +2

    “I feel like a real teacher” has taught me all the way! Thanks Sal Khan, the world would be better if we could raise your existence number to the fifth power

  • @brindabansal9411
    @brindabansal9411 Před 3 lety +3

    "Actually let me use some colours, so I think that might simplify it."
    ~Sal (2007)
    Sal, you never fail to make me laugh XD

  • @MarioLoco03
    @MarioLoco03 Před 9 lety +9

    Thanks for making me feel important

  • @rushamajumder6297
    @rushamajumder6297 Před 10 lety +13

    You honestly change lives. Thank you sooooooooooooooo much. I'll be relying on these videos to get me through BC calc!

  • @D143_w
    @D143_w Před 9 lety +13

    You know what?
    You are THE MVP.

  • @hunterpark1221
    @hunterpark1221 Před 5 lety +3

    12 years after this was posted, it's still helping people, thank you!

  • @felipe-dd7vx
    @felipe-dd7vx Před 6 měsíci

    leaving the video with the portion of just trying to erase the board was genuinely amazing. It's like an artifact from a time where everything wasn't expected to be instant and polished up 100%. You showed us the parts that weren't so glamourous, and I appreciate that a lot

  • @nawaaal
    @nawaaal Před 8 lety +68

    This is the most helpful video of the chain rule here on YT!! Thank you so much! xx

  • @jaameessss
    @jaameessss Před 8 lety +25

    Dont know if u r still active on this account but man u got talent on explaining. Great job

    • @hmz01_
      @hmz01_ Před 6 lety

      lol the vid was made 9 years before you commented that

    • @deviladvocate21
      @deviladvocate21 Před 5 lety +1

      Not only active, but he has a massive non-profit company (by the same name).

  • @MohanYadav
    @MohanYadav Před 6 měsíci

    "Someone was calling me but you're more important. So I will not answer the phone". My lord, You stole my heart. Love you so much !

  • @denzelwilksch8935
    @denzelwilksch8935 Před 7 lety +7

    like I have been learning this for ages and I feel like the only one in my class not to get it and now I feel like it's so simple. I should have done this ages ago, thanks Mr Khan

  • @alexandrasvdavis
    @alexandrasvdavis Před 3 lety +2

    This is so great 13 years later and Khan is still killing the game!!

  • @shadowking255
    @shadowking255 Před 4 lety +1

    you are just changing the world man.That is something you should be proud of

  • @dasilena
    @dasilena Před 12 lety +2

    You are my teacher. Your explanations are clear and direct, thank you so much! It's so much easier to understand...

  • @omarmusanna7294
    @omarmusanna7294 Před 4 lety +3

    Dear Mr. Khan, if my country as well as yours, would have teachers like you, whole education system would have changed.

  • @henrilindroos3029
    @henrilindroos3029 Před 7 dny

    Went to uni to study MSc in Tech after a 9y break, needed a reminder of calculus basics, and really appreciating that I came back to this amazing content.

  • @ajhqt9309
    @ajhqt9309 Před 2 lety +1

    This has been mind boggling! I was good at calculus but entirely forgot (or never learned) these foundations. Watching from the beginning of this series to here, I understand derivatives in a way I will never forget and it is all completely intuitive. Amazing!

  • @bayekofsiwa5847
    @bayekofsiwa5847 Před 8 lety +3

    Khan Academy helps me in many ways than one. Totally useful uploader of videos.

  • @fund4mentcook
    @fund4mentcook Před 13 lety +1

    I am pursuing my master's degree in systems and control engineering, which you may already know involves tons of math.. I'm currently struggling with my thesis project, and I'm too lazy to open my undergrad calculus book . So I watched your videos about chain rule and product rule, and it has tremendously impacted the progress of my thesis project..
    Thanks a lot Sal! From the bottom of my heart. Bless you.

  • @samwithers2217
    @samwithers2217 Před 5 lety

    Literally explained better than hours of ‘teaching’ iv received on the subject.

  • @mar8014
    @mar8014 Před 11 lety

    I like the "LITTLE BUT ON INTUITION" that Sal always gives. Thanks Sal

  • @novaastronomia8720
    @novaastronomia8720 Před 3 lety +1

    So many books, sadler, Spivak, mit, princeton, greg, so many, never have found an explanation like this.

  • @jacobbrockert6953
    @jacobbrockert6953 Před 5 lety +1

    I know this is from 2007 but 18 minutes of your videos explained more than 3 hours with my professor if you still see this bless your heart.

  • @Spoonclan
    @Spoonclan Před 11 lety +1

    I dont know why i even go to college! That was amazing! Thank you!!! :D

  • @KosarKhanlar
    @KosarKhanlar Před rokem

    I LOVE the way this man teaches. I just love it. It's so smooth that I feel my university professors don't even know what they're saying.

  • @1010nedim
    @1010nedim Před 12 lety

    way better than my calc teacher, taught me this material in an hour and my professor couldn't teach it in two weeks
    big salute!

  • @Unamuno_music
    @Unamuno_music Před 5 lety

    3:45 You ARE a real teacher. I wish you the best. Thank you for everything you have taught me.

  • @marksmith757
    @marksmith757 Před 9 lety +1

    This helped me so much! Thank you

  • @oliviaw5250
    @oliviaw5250 Před 7 lety +1

    You explained to me what took my professor 3 days to explain. THANK YOU! :)

  • @clarisebrown2665
    @clarisebrown2665 Před 8 lety +2

    THANK YOU! Your tutorials are an absolute lifesaver.

  • @kellbellslyrics
    @kellbellslyrics Před 10 lety +7

    Thank you so much! Very helpful! :)

  • @jennyralphs
    @jennyralphs Před 12 lety

    One of the main reasons I like listening to Sal instead of my teacher is because he seems so humble. He always says things like "I really hope I haven't confused you", and I just feel like I'm listening to a friend talk. I'm less intimidated by him, haha.

  • @WaCKafAce
    @WaCKafAce Před 12 lety

    Thank you so much. My math teacher was talking about this for an hour and I didnt get it. I watched you talk about it for 4 minutes and I get it now.

  • @williamwinslade9093
    @williamwinslade9093 Před 4 lety

    I literally could not figure this out and then I found this video. Many many thanks!

  • @dozza06
    @dozza06 Před 11 lety +2

    3:45 is actually my favorite part!

  • @wingsphoenix3484
    @wingsphoenix3484 Před rokem

    I took like 3 lectures(around 2 hr and a half) and consultation period yet I failed to understand what the heck is going on, turns out all I need is a video that’s not even like 1/10 of the time I spent. Thx for such! You are saving my life!

  • @Galenus0
    @Galenus0 Před 6 lety +1

    Over 10 years after this video was made, still helps alot :)

  • @ninjapro7600
    @ninjapro7600 Před 3 lety

    Not only is he a good teacher… he knows how to have fun with it and keep an audeince happy!

  • @ChopsMaster1
    @ChopsMaster1 Před 14 lety

    Im teaching myself Calculus before i graduate high school. and with these videos its so far a much easier process than taking a class or learning out of a book. im not sure i could accomplish my goal of teaching myself Calculus and applying it to my AP Physics class and Physics in general without these videos. Thanks a million!!

  • @osraneslipy
    @osraneslipy Před rokem

    Your videos are by far the best educational videos in youtube.

  • @arycogito
    @arycogito Před 9 měsíci

    man i love Sal. he can teach really well while having a good sense of humour too haha

  • @sgray973
    @sgray973 Před 15 lety +1

    thank you for making this information easy and public. My professor has a very heavy accent and leads to a difficult environment to learn abstract concepts. This has helped me so much.

    • @Riyasharmaa1234
      @Riyasharmaa1234 Před měsícem

      Hey, I wonder how you are doing it's crazy when you learned this I was literally 1 years old and it's just insane. I hope you are doing great !!

  • @topik627
    @topik627 Před 13 lety

    Brother, you are a real TEACHER. JAZAKA'ALLAH'HOO'KHAYRIN!

  • @rhcp4565
    @rhcp4565 Před 14 lety

    You are SUCH a good teacher!! the first example you did I was like "hmm I dont relaly get that," But after the second one I was like "OHHHHHHHH!" its insane thank you so much Sal

  • @CylindricalWhistle
    @CylindricalWhistle Před 11 lety

    Oh wow, this is great. My Calc BC teacher is the worst, doesn't teach anything and still gives really hard tests. Thanks, this has been so extremely helpful.

  • @janbroz5808
    @janbroz5808 Před 3 lety

    Sir loved it when u said u r more important than my phone call. Let me say this "The way u teach helps me cover everything with the intuition and concept that makes me learn realistically". My school, college seems to me a business hub where making money is more important.

  • @emmanuelapuamadi9591
    @emmanuelapuamadi9591 Před 8 lety +3

    Excellent presentation

  • @PlasmaPrestige
    @PlasmaPrestige Před 13 lety

    I haven't taken a Calculus course in my life. Still in (Adv) Algebra II. I've understood everything up to this video. Well done Sal.

  • @munteanumichelle
    @munteanumichelle Před 12 lety

    I've been watching your videos for years now in all sorts of subjects and I'm still awestruck by how amazing they are! The way you teach concepts just makes them click.

  • @paladinpaterson5385
    @paladinpaterson5385 Před 10 lety +1

    I like how in the first video he states how he needs to get a new program for his videos yet he uses it for like twenty more xD. Well anyway these are some of the best videos ive seen for calculus. My math teacher isn't flowing with how i learn and he's moving really fast. These videos click with me though. Can't wait to keep on learning!

  • @TheOfficialTiago
    @TheOfficialTiago Před 9 lety

    You are better than any math professor I've ever had and I'm not exaggerating one bit. THANK YOU!

  • @IceKing89
    @IceKing89 Před 9 lety +1

    this helped so much, i was so confused about the chain rule but this cleared everything up thank you so much!

  • @1matth3w1
    @1matth3w1 Před 14 lety

    Respond to this video...
    my god my soul is aching on how effective you are im actually crying. thank god for people like you.. i mean that

  • @IonizedH2Cloud
    @IonizedH2Cloud Před 10 lety

    Khan rocks! Their vids and "Math Shorts" ebooks are excellent, way better than my prof, that's for sure.

  • @lillybrietenback2854
    @lillybrietenback2854 Před 2 lety

    I was so confused in class and I finally understand after a 9 min video. Thank you so so much!

  • @hammurambi
    @hammurambi Před 12 lety

    My Calc professor last year liked khan, he put a link to this channel on the references page in our homework.

  • @Yeiyn343
    @Yeiyn343 Před 9 lety +1

    This helped me so much! Thank you! :-)

  • @chestypants78
    @chestypants78 Před 12 lety

    Just over 5 years old. Still being watched. Sal, you the man!

  • @superpill6262
    @superpill6262 Před 5 lety

    This is freaking awesome!!! It took my professor two classes to try and explain this and I still didn't understand it till right now.

  • @DogWhistleBlower
    @DogWhistleBlower Před 11 lety

    Thank you. I remember, back in the 90s, having to ask around for people that might be able to help me out.

  • @dfshjb44
    @dfshjb44 Před 7 lety

    This is seriously so helpful. Doing it this way is much easier that using u and du like my professor taught.

  • @angeldrgn
    @angeldrgn Před 11 lety

    Thank you soooooo much you're the only reason i understand calc I wish my math professor was half as good as you at teaching. you just gained a subscriber. many thanks and compliments

  • @MuhammadFarhanMaulana23
    @MuhammadFarhanMaulana23 Před 11 lety

    Finally he knows how to draw a straight line!!! We've been waiting for it since the first presentation...

    • @sirjain4408
      @sirjain4408 Před 4 lety

      He is using a tool to draw a line

  • @Seedofwinter
    @Seedofwinter Před 14 lety +1

    "Someone is calling me, but you're more important" LMAO

  • @merc5333
    @merc5333 Před 9 lety

    It's like you can read my mind! I found it to be a tad confusing but you explained it really well so I didn't get completely lost in what you were saying. Great teacher here!

  • @highqueue1
    @highqueue1 Před 14 lety

    excellent work. the internet needs more people like you

  • @KelseyKline00
    @KelseyKline00 Před 13 lety +1

    Haha I love it "I'm teaching you derivatives, but I don't know a faster way to erase than this." Thanks for being wayyyy more helpful than my real teacher!!

  • @123donnesha
    @123donnesha Před 13 lety

    this is soooooooooooooooooo awesome!! u jus made my math life 1000000 times easier

  • @mariondarylirisramos9900
    @mariondarylirisramos9900 Před 7 lety +1

    "Someone was calling me but you're more important so I will not answer the phone." AWWWWWWWWW 💖💖💖 that made me feel special LOL

  • @MrVargasesteban
    @MrVargasesteban Před 13 lety

    thank god khan academy exists, i missed 2 calculus classes and when i got back i wasn't understanding a fuck

  • @johnmackinnon8750
    @johnmackinnon8750 Před 11 lety

    How come my math teacher can't teach it simply and slowly, breaking it down, like so? Your a life saver.

  • @asoto420
    @asoto420 Před 12 lety

    Between you and profrobbob im able to keep my head above water. He gives an more exact def. but you break it down very wonderfuly. Mucho Gracias

  • @linhtang9063
    @linhtang9063 Před 6 lety

    This helped me understand the chain rule so much better and clearer, thank you

  • @diabl2master
    @diabl2master Před 13 lety

    Further Mathematics A-level... this channel could come in so handy!!

  • @Jjsep91
    @Jjsep91 Před 11 lety

    in every subject by the way! my orgo exams wouldn't be the same without your videos. I literally went up by about 40 points in my orgo exam after watching your video. Calc will be next !
    thanks

  • @xjtluvrx
    @xjtluvrx Před 13 lety

    I'm taking AP Calculus and have a private tutor and 45 seconds of this video explained more to me than both my calc teacher and my tutor combined.

  • @1h0tsistah
    @1h0tsistah Před 15 lety

    omg... thank you.. i want to tell all of my friends.. but i also want to show off my new math skills.. lol.. thank you... SOO much.

  • @celestemartin8832
    @celestemartin8832 Před 5 lety

    You make everything seem so easy!

  • @palpu
    @palpu Před 14 lety

    He is great, if he were my instructor I'd never have problem with calculus

  • @130ipower
    @130ipower Před 15 lety

    ur explanations are so clear and easy to understand. thanks buddy

  • @Eng1neering
    @Eng1neering Před 12 lety

    You're not a math professor? This whole time I thought you were...But then again you teach a multitude of different subjects, so you much be a genius.

  • @TheDevonnMarieShow
    @TheDevonnMarieShow Před 9 lety +1

    I love you. You're saving my life.

  • @elementoxygen
    @elementoxygen Před 15 lety

    You make your videos feel easier for people to understand, and for me, your one of my greatest math teachers ever!!!!!!!!!!!!!
    Keep up the awesome and great work, SALMAN KHAN ( |SAL| ) d:D

  • @johnsantiago8525
    @johnsantiago8525 Před 11 lety

    Thank you so much. You just did the impossible....help an Asain with math. :) love you man

  • @mikeleev
    @mikeleev Před 14 lety

    This guy is the chain rule master (and probably also the master teacher).