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The Chain Rule 

Khan Academy
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Part 4 of derivatives. Introduction to the chain rule.
Practice this yourself on Khan Academy right now: www.khanacadem...

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2 окт 2007

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Комментарии : 456   
@batuamparh
@batuamparh 9 лет назад
"But you're more important so i will not answer the phone" .... we need more teachers like you sir
@nataliel7958
@nataliel7958 9 лет назад
prioritizing me over your phone call makes me feel so damn important
@jcfartson7288
@jcfartson7288 7 лет назад
you are important
@machduel
@machduel 5 лет назад
Lol read this right as he did in the video.
@adnanahmad5013
@adnanahmad5013 5 лет назад
@@machduel Lol same
@alexcao4184
@alexcao4184 8 лет назад
Thank you for reminding me of my importance and not answering that phone. You Rock.
@SneakerHeadInTheBay
@SneakerHeadInTheBay 11 лет назад
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 3 года назад
Oh sweet child. Internet does not forget. Personal data = currency, we are products.
@teferra444
@teferra444 3 года назад
@@h.l.69 lol what does this even mean
@dayviduh
@dayviduh 3 года назад
@@teferra444 it means he’s smarter than everyone
@novaastronomia8720
@novaastronomia8720 3 года назад
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 3 года назад
@@h.l.69 wow ur cringe
@Wignut
@Wignut 8 лет назад
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 8 лет назад
agreed
@TheViperist313
@TheViperist313 8 лет назад
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 7 лет назад
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 2 года назад
Ayo in 2022
@SpencerP96
@SpencerP96 2 года назад
@Akh Las hahaha got that Calc exam tomorrow got to hit up RU-vid for the quick lessons 🤣
@sophc193
@sophc193 9 лет назад
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.
@naynay258
@naynay258 8 лет назад
"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 8 лет назад
What kind of lab were you in where your instructor let you sit around slacking off and watching RU-vid 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 5 лет назад
@@emlmm88 IT lab
@TheMajesticKnight
@TheMajesticKnight 3 года назад
@@emlmm88 My thoughts exactly
@douglasnanu4671
@douglasnanu4671 7 лет назад
You explained this to me in 9 minutes while I have had 4+ lectures on this and was this confused. Good explanation is everything
@andreperrard3923
@andreperrard3923 8 лет назад
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 3 года назад
What do u mean by dear god is that for he helped you find khan academy
@OiYaPrick
@OiYaPrick 10 лет назад
Calculus: "Bear with for a moment here... bear with me... bear with me..."
@OriginalGanstaEnt
@OriginalGanstaEnt 10 лет назад
"Hopefully it make sense"
@DigitalChaoS
@DigitalChaoS 10 лет назад
"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 6 лет назад
He is being held captive by a bear and is trying to call for help
@MrAckeh
@MrAckeh 9 лет назад
Thank you man, i was so stressed, but watching you erase the board like that made my day and gave a little break :D
@AkidsukiLeader
@AkidsukiLeader 10 лет назад
@ 4:14 was the most CLUTCH moment of any video ever. If you have OCD you will understand lol
@ClearlyCompatible
@ClearlyCompatible 9 лет назад
Will he miss it!!! Oh, thank god!
@THEJOESTER8471
@THEJOESTER8471 9 лет назад
yes that was actually amaazing
@black_squall
@black_squall 9 лет назад
dang I guess I do have OCD, i was like 'what are you freaks going on about?' but that whole sequence made my stress levels go up considerably haha.
@antarabasuroy7534
@antarabasuroy7534 8 лет назад
YES
@iRam8UnderScore
@iRam8UnderScore 6 лет назад
That's not ocd
@buggld
@buggld 9 лет назад
These videos not editing out little things like the phone call or him trying to erase stuff is just straight up amusing.
@datboidominican
@datboidominican 5 лет назад
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!
@segiaco
@segiaco 11 лет назад
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 :)
@dsonline43
@dsonline43 14 лет назад
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.
@matheusminghini5088
@matheusminghini5088 4 года назад
“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
@rushamajumder6297
@rushamajumder6297 10 лет назад
You honestly change lives. Thank you sooooooooooooooo much. I'll be relying on these videos to get me through BC calc!
@jaameessss
@jaameessss 8 лет назад
Dont know if u r still active on this account but man u got talent on explaining. Great job
@hmz01_
@hmz01_ 6 лет назад
lol the vid was made 9 years before you commented that
@deviladvocate21
@deviladvocate21 5 лет назад
Not only active, but he has a massive non-profit company (by the same name).
@nawaaal
@nawaaal 8 лет назад
This is the most helpful video of the chain rule here on YT!! Thank you so much! xx
@Swgg-ninja
@Swgg-ninja 8 лет назад
You should check out mathbff, even better!
@onepiecetime1
@onepiecetime1 6 лет назад
may be
@felipe-dd7vx
@felipe-dd7vx 5 месяцев назад
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
@brindabansal9411
@brindabansal9411 3 года назад
"Actually let me use some colours, so I think that might simplify it." ~Sal (2007) Sal, you never fail to make me laugh XD
@hunterpark1221
@hunterpark1221 5 лет назад
12 years after this was posted, it's still helping people, thank you!
@MarioLoco03
@MarioLoco03 9 лет назад
Thanks for making me feel important
@D143_w
@D143_w 9 лет назад
You know what? You are THE MVP.
@denzelwilksch8935
@denzelwilksch8935 7 лет назад
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
@MohanYadav
@MohanYadav 6 месяцев назад
"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 !
@alexandrasvdavis
@alexandrasvdavis 3 года назад
This is so great 13 years later and Khan is still killing the game!!
@dasilena
@dasilena 12 лет назад
You are my teacher. Your explanations are clear and direct, thank you so much! It's so much easier to understand...
@shadowking255
@shadowking255 4 года назад
you are just changing the world man.That is something you should be proud of
@KosarKhanlar
@KosarKhanlar Год назад
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.
@omarmusanna7294
@omarmusanna7294 4 года назад
Dear Mr. Khan, if my country as well as yours, would have teachers like you, whole education system would have changed.
@bayekofsiwa5847
@bayekofsiwa5847 8 лет назад
Khan Academy helps me in many ways than one. Totally useful uploader of videos.
@ajhqt9309
@ajhqt9309 2 года назад
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!
@fund4mentcook
@fund4mentcook 13 лет назад
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.
@mar8014
@mar8014 11 лет назад
I like the "LITTLE BUT ON INTUITION" that Sal always gives. Thanks Sal
@samwithers2217
@samwithers2217 5 лет назад
Literally explained better than hours of ‘teaching’ iv received on the subject.
@clarisebrown2665
@clarisebrown2665 7 лет назад
THANK YOU! Your tutorials are an absolute lifesaver.
@jacobbrockert6953
@jacobbrockert6953 5 лет назад
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.
@1010nedim
@1010nedim 12 лет назад
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!
@oliviaw5250
@oliviaw5250 7 лет назад
You explained to me what took my professor 3 days to explain. THANK YOU! :)
@osraneslipy
@osraneslipy Год назад
Your videos are by far the best educational videos in youtube.
@Unamuno_music
@Unamuno_music 5 лет назад
3:45 You ARE a real teacher. I wish you the best. Thank you for everything you have taught me.
@ChopsMaster1
@ChopsMaster1 13 лет назад
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!!
@WaCKafAce
@WaCKafAce 12 лет назад
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.
@marksmith757
@marksmith757 9 лет назад
This helped me so much! Thank you
@Spoonclan
@Spoonclan 11 лет назад
I dont know why i even go to college! That was amazing! Thank you!!! :D
@munteanumichelle
@munteanumichelle 12 лет назад
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.
@emmanuelapuamadi9591
@emmanuelapuamadi9591 8 лет назад
Excellent presentation
@williamwinslade9093
@williamwinslade9093 4 года назад
I literally could not figure this out and then I found this video. Many many thanks!
@topik627
@topik627 13 лет назад
Brother, you are a real TEACHER. JAZAKA'ALLAH'HOO'KHAYRIN!
@novaastronomia8720
@novaastronomia8720 3 года назад
So many books, sadler, Spivak, mit, princeton, greg, so many, never have found an explanation like this.
@sgray973
@sgray973 15 лет назад
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.
@user-lx6og4ti5t
@user-lx6og4ti5t 7 дней назад
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 !!
@wingsphoenix3484
@wingsphoenix3484 Год назад
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!
@kellbellslyrics
@kellbellslyrics 10 лет назад
Thank you so much! Very helpful! :)
@janbroz5808
@janbroz5808 3 года назад
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.
@PlasmaPrestige
@PlasmaPrestige 13 лет назад
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.
@IceKing89
@IceKing89 9 лет назад
this helped so much, i was so confused about the chain rule but this cleared everything up thank you so much!
@jennyralphs
@jennyralphs 12 лет назад
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.
@TheOfficialTiago
@TheOfficialTiago 9 лет назад
You are better than any math professor I've ever had and I'm not exaggerating one bit. THANK YOU!
@Galenus0
@Galenus0 6 лет назад
Over 10 years after this video was made, still helps alot :)
@dozza06
@dozza06 11 лет назад
3:45 is actually my favorite part!
@ary2766
@ary2766 8 месяцев назад
man i love Sal. he can teach really well while having a good sense of humour too haha
@CylindricalWhistle
@CylindricalWhistle 11 лет назад
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.
@angeldrgn
@angeldrgn 10 лет назад
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
@lillybrietenback2854
@lillybrietenback2854 2 года назад
I was so confused in class and I finally understand after a 9 min video. Thank you so so much!
@merc5333
@merc5333 9 лет назад
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!
@dfshjb44
@dfshjb44 7 лет назад
This is seriously so helpful. Doing it this way is much easier that using u and du like my professor taught.
@IonizedH2Cloud
@IonizedH2Cloud 10 лет назад
Khan rocks! Their vids and "Math Shorts" ebooks are excellent, way better than my prof, that's for sure.
@123donnesha
@123donnesha 12 лет назад
this is soooooooooooooooooo awesome!! u jus made my math life 1000000 times easier
@ninjapro7600
@ninjapro7600 3 года назад
Not only is he a good teacher… he knows how to have fun with it and keep an audeince happy!
@rhcp4565
@rhcp4565 14 лет назад
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
@johnmackinnon8750
@johnmackinnon8750 11 лет назад
How come my math teacher can't teach it simply and slowly, breaking it down, like so? Your a life saver.
@highqueue1
@highqueue1 14 лет назад
excellent work. the internet needs more people like you
@linhtang9063
@linhtang9063 6 лет назад
This helped me understand the chain rule so much better and clearer, thank you
@paladinpaterson5385
@paladinpaterson5385 10 лет назад
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!
@chestypants78
@chestypants78 12 лет назад
Just over 5 years old. Still being watched. Sal, you the man!
@1matth3w1
@1matth3w1 14 лет назад
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
@DogWhistleBlower
@DogWhistleBlower 11 лет назад
Thank you. I remember, back in the 90s, having to ask around for people that might be able to help me out.
@Yeiyn343
@Yeiyn343 9 лет назад
This helped me so much! Thank you! :-)
@130ipower
@130ipower 15 лет назад
ur explanations are so clear and easy to understand. thanks buddy
@xjtluvrx
@xjtluvrx 13 лет назад
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.
@celestemartin8832
@celestemartin8832 5 лет назад
You make everything seem so easy!
@hammurambi
@hammurambi 12 лет назад
My Calc professor last year liked khan, he put a link to this channel on the references page in our homework.
@Jjsep91
@Jjsep91 11 лет назад
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
@MuhammadFarhanMaulana23
@MuhammadFarhanMaulana23 11 лет назад
Finally he knows how to draw a straight line!!! We've been waiting for it since the first presentation...
@sirjain4408
@sirjain4408 4 года назад
He is using a tool to draw a line
@Whatsonurshoulder
@Whatsonurshoulder 10 лет назад
This is helpful when ur teacher sucks a lot
@CJBurkey
@CJBurkey 6 лет назад
Even good teachers barely compare to this god himself.
@KelseyKline00
@KelseyKline00 13 лет назад
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!!
@1h0tsistah
@1h0tsistah 15 лет назад
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.
@chpage92
@chpage92 13 лет назад
You are a gifted teacher. Thank you so much for helping me!
@elementoxygen
@elementoxygen 15 лет назад
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
@florican07
@florican07 15 лет назад
Great job, who ever this guy is. Man! he makes it clear to understand.
@asoto420
@asoto420 12 лет назад
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
@lilbrasil2010
@lilbrasil2010 13 лет назад
thank you very much! you explained this a lot better than my math teacher
@diabl2master
@diabl2master 13 лет назад
Further Mathematics A-level... this channel could come in so handy!!
@palpu
@palpu 14 лет назад
He is great, if he were my instructor I'd never have problem with calculus
@Eng1neering
@Eng1neering 12 лет назад
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.
@SRCmandan
@SRCmandan 11 лет назад
Great lecture, the same as many others, this teaches way better than my maths teacher did. I'm just going over high school calculus now, starting up university level maths and you are DEFINITELY helping :)
@jeremygraham5942
@jeremygraham5942 5 лет назад
You think you may come off confusing, but your not! Very easy awesome video
@johnsantiago8525
@johnsantiago8525 11 лет назад
Thank you so much. You just did the impossible....help an Asain with math. :) love you man
@whimsycottt
@whimsycottt 11 лет назад
Thank you so much for this video! I had a calc. midterm coming up and this was really helpful!
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