Chain Rule With Partial Derivatives - Multivariable Calculus

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  • เผยแพร่เมื่อ 1 ธ.ค. 2024

ความคิดเห็น • 240

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 หลายเดือนก่อน +5

    Final Exams and Video Playlists: www.video-tutor.net/

  • @salinalamasl
    @salinalamasl 2 ปีที่แล้ว +140

    I hope you know how happy it makes me when I search for a topic and you have covered it. Nobody explains such a complex idea in a simple manner as you do!

    • @anthonyajao2156
      @anthonyajao2156 ปีที่แล้ว +5

      You have no idea 😭😂
      He needs to do more videos on calc 3

  • @catcen9631
    @catcen9631 2 ปีที่แล้ว +238

    I graduated from a 3rd world country with a super shitty education lvl. when I started pursuing my college degree in Germany I was really struggling with math (since I had no background) and this channel helped me pass all my finals, moreover now I'm able to do calc 3 with literally no mistake...
    I cant express how grateful I'm
    thank you, organic chemistry! you are a true hero!

  • @additco1
    @additco1 5 ปีที่แล้ว +575

    Great video! At 3:52 dy/dt should be 15t^2.

    • @foundmee
      @foundmee 2 ปีที่แล้ว +68

      I was looking for such a comment

    • @yeasinibnekadir7464
      @yeasinibnekadir7464 2 ปีที่แล้ว +8

      @@foundmee same

    • @mosis9276
      @mosis9276 2 ปีที่แล้ว +12

      I thought I was the only one who noticed that. I thought it was just supposed to be 15^3

    • @Speedypants88
      @Speedypants88 2 ปีที่แล้ว +5

      Thanks man, great comment!

    • @sophiaonyoutube
      @sophiaonyoutube ปีที่แล้ว

      thanks!

  • @AdrianGonzalezBlogs
    @AdrianGonzalezBlogs 5 ปีที่แล้ว +152

    God bless this human, taking tomorrow my final for calc 3.

    • @imaginer04
      @imaginer04 4 ปีที่แล้ว +1

      Indeed.

    • @ironman5034
      @ironman5034 4 ปีที่แล้ว +4

      Same here, calc 2

    • @NoName-bh4pf
      @NoName-bh4pf 3 ปีที่แล้ว +4

      How’d you do?

    • @AdrianGonzalezBlogs
      @AdrianGonzalezBlogs 3 ปีที่แล้ว +9

      @@NoName-bh4pf lol I can't remember my exam grade but I passed the class 🙌

    • @Nickv333
      @Nickv333 3 ปีที่แล้ว +1

      thats literally me right now holy

  • @carlossantana8306
    @carlossantana8306 5 ปีที่แล้ว +24

    Dude! You answered my prayers! I asked for this video at the beginning of the semester and you came through!!! I have donated to your patron page all semester and I can not have done any of this without you !

  • @andypantes8062
    @andypantes8062 ปีที่แล้ว +9

    genuinely the best online tutor/professor. You teach math better than anyone in my humble opinion. Extra is that in this video you explain it the same way as my professor!

  • @jamesa.646
    @jamesa.646 4 ปีที่แล้ว +15

    Thank you so much thanks to this shitty quarantine my proffesor doesn't even bother giving online lectures or any resources to help us. Just gives us HW but thanks to this, I was able to tackle the problems fairly straight forwardly

  • @brandonprice1901
    @brandonprice1901 ปีที่แล้ว +25

    everyone in the comments gaining some sort of ego boost for correcting a simple math error, but we are all here watching these videos cause we are lost in the first place 😂

    • @Kier_but_who_cares
      @Kier_but_who_cares 6 หลายเดือนก่อน

      Yeah I agree with you... After all, everyone should know that this math teacher is only a human, who can also create mistakes.

  • @meat55
    @meat55 5 ปีที่แล้ว +527

    first problem's answer should be 15t^2, not 15t^3

    • @janjansen2091
      @janjansen2091 5 ปีที่แล้ว +36

      ikr I was so annoyed by that haha

    • @dj.a.4109
      @dj.a.4109 5 ปีที่แล้ว +3

      Yeah

    • @divyoroy9056
      @divyoroy9056 4 ปีที่แล้ว +10

      Nah bro he accudently wrote t^2 but it is supposed to be t^3

    • @hamzarajab6281
      @hamzarajab6281 4 ปีที่แล้ว +43

      @@divyoroy9056 are you on pot? haha it should be 15t2

    • @mikechalek9281
      @mikechalek9281 4 ปีที่แล้ว +29

      It was just a simple mistake

  • @georgesadler7830
    @georgesadler7830 ปีที่แล้ว +6

    Professor Organic Chemistry Tutor, thank you for an awesome outline and analysis of the Chain Rule with Partial Derivatives in Multivariable Calculus/Calculus Three. Problem solving is always the key to understanding all the concepts/materials in Mathematics, Physics, Computer Science and Engineering. The Chain Rule is problematic from start to finish in Calculus Three. Thanks to the great viewers for finding and correcting the small error in the beginning of this video.

  • @waanochannel6502
    @waanochannel6502 5 ปีที่แล้ว +51

    Am about to take my calc 3 final tomorrow. I'm sad that u just started uploading that topics. Thanks tho, you're the secret of my straight A's.

    • @AB-gu9ui
      @AB-gu9ui 5 ปีที่แล้ว +1

      He started uploading a week before i started calc 3 :))))) couldnt be happier

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      @peterfisher5931 4 ปีที่แล้ว

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    • @isaaq1393
      @isaaq1393 4 ปีที่แล้ว

      How did it go?

    • @waanochannel6502
      @waanochannel6502 4 ปีที่แล้ว +7

      @@isaaq1393 i got an A 😊 alhamdulilah.

    • @isaaq1393
      @isaaq1393 4 ปีที่แล้ว +4

      @@waanochannel6502 mashallah walaal. good on you. Wish me luck

  • @RicardoGonzalez-tg3lw
    @RicardoGonzalez-tg3lw 10 หลายเดือนก่อน

    My lecturer took a million classes to explain this, and I didn't understand. I watched 2 mins of this video and it all made sense. You're great! I'd be failing all my classes if it wasn't because of this channel.

  • @boramawi
    @boramawi 2 ปีที่แล้ว +4

    I took more than two classes of 3 hours each and found myself more confused with this concept. I got the whole point of this lesson from this video by the first 2 minutes! Really amazing video. Thanks a lot.

  • @kaeshaun4037
    @kaeshaun4037 3 ปีที่แล้ว +9

    I have CALC 1 exam tommo, im a freshman in chem eng i DEDICATE my degree to you. YOUR VIDEOS ARE SUPER DUPER HELPFUL

    • @OGCBxGrub
      @OGCBxGrub 2 ปีที่แล้ว +5

      This is calculus 3

    • @Batman_2003
      @Batman_2003 ปีที่แล้ว

      @@OGCBxGrubcan still be used in cal 1. Just using applications of partials rather than implicit and tbh partials are easy to understand so I’m sure he figured out how to do all of it the cal 3 way lol

  • @Ken-Mojo-Dojo
    @Ken-Mojo-Dojo 2 ปีที่แล้ว +3

    thank you so much for bringing complex topics in math down so anyone can learn it, I have been so behind in university study I used your channel as a last resort and I have my final exam today and you helped build my knowledge and confidence for it :)

    • @anmol3457
      @anmol3457 2 ปีที่แล้ว

      Good luck, i have my midsem in about 12 hours lol

    • @knanzeynalov7133
      @knanzeynalov7133 ปีที่แล้ว

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  • @ricric4722
    @ricric4722 3 ปีที่แล้ว

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  • @priyankagorla8639
    @priyankagorla8639 2 ปีที่แล้ว +7

    *I had a lot of confusion and it's cleared all thanks to you sir!! You are a really great teacher sir.*

  • @helnyxiscool
    @helnyxiscool 7 หลายเดือนก่อน

    I've never understood this concept in my life, but the tree diagram makes it so simple! I GET IT NOW AFTER ALL THIS TIME!!!

  • @muteahmdv
    @muteahmdv 5 ปีที่แล้ว +15

    Hello teacher,
    Thanks to you, I can really get the main idea in calculus 3, watching your videos and solving questions from book, I got the topics very easily. I ask from you to teach us more about Claculus 3 with videos. At our university we are studying from Thomas' Claculus thirteenth edition, I hope you will teach more topics to us from Claculus 3. Without your teaching I really get hard to follow and study those topics. Best regards teacher, thank you :)))))

  • @FarhadADeven
    @FarhadADeven 3 ปีที่แล้ว +3

    you are great man thanks!
    I hope everyone watching this video takes their time and comments and likes this video in order to help with the algorithm!
    Thats the least one can do to show the appreciation for what you do. thanks for your effort man!

  • @iqbalseeam9067
    @iqbalseeam9067 2 ปีที่แล้ว +1

    This channel made my study much easier and effective. I love this The Organic Chemistry Tutor channel.❤

  • @katkrasher
    @katkrasher 2 หลายเดือนก่อน

    This guy got me through calc 1 ,2, chemistry, and now calc 3 he might as well be my real professor at this point

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    @majdlabbad5221 4 ปีที่แล้ว +25

    May God, Or the Universe or whatever you believe in bless your soul! I don't understand how this dude explains in 20 minutes what I failed to understand in 90 minutes of lecture! dude fucking pure magic.

  • @adeeltufail
    @adeeltufail 3 ปีที่แล้ว +8

    Truly professional videos
    Cannot thank you enough.

  • @elliewolcott6254
    @elliewolcott6254 2 ปีที่แล้ว +1

    Thank you so much!! I've been on the brink of a mental breakdown the past hour lol I needed this video!

  • @jyothiswaroop2964
    @jyothiswaroop2964 2 ปีที่แล้ว +1

    Thanks a ton!!! My exam's tomorrow and this video was very helpful!!

  • @impulsiveguys7599
    @impulsiveguys7599 ปีที่แล้ว +3

    issue in the first problem where dy/dt of 5t^3 should be 15t^2 not 15t^3

  • @gambitsgobrrr5687
    @gambitsgobrrr5687 3 ปีที่แล้ว +8

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  • @HANA_n15
    @HANA_n15 หลายเดือนก่อน +1

    Got my first Calc exam on Thursday, wish me luck ya'll

  • @priyaprishni3366
    @priyaprishni3366 4 ปีที่แล้ว +1

    my goodness.... thanks for this video...I have been breaking my head for 3 hours for this topic and you have explained it sooo clearly :)

  • @parneetkaurreddu4320
    @parneetkaurreddu4320 3 ปีที่แล้ว +5

    Sir, I understand the whole concept, thank you so much!

  • @peterfisher5931
    @peterfisher5931 4 ปีที่แล้ว +20

    Still my man crush every Monday.

  • @gautambhaskar4160
    @gautambhaskar4160 2 ปีที่แล้ว

    Best Video on multivariable chain rule

  • @Sunnysidedup
    @Sunnysidedup 28 วันที่ผ่านมา

    THANK YOU..... my exam is next week and I couldn't understand this concept, I'm so grateful thanks

  • @wejdan1974
    @wejdan1974 4 ปีที่แล้ว +2

    You’re a lifesaver man i love your voice ;)

  • @Salamanca-joro
    @Salamanca-joro 7 หลายเดือนก่อน +1

    There is no way its this simple😂😂 i understood it in the first 5 minutes to the point that i am thanking that there is somethinf wrong with me

  • @zuhairalsaffar7001
    @zuhairalsaffar7001 4 ปีที่แล้ว

    You are more than professor l. Like your way of teaching thanks you your best

  • @doom8185
    @doom8185 ปีที่แล้ว +6

    Thank you so much !!
    3:56 shouldn't the derivative of 5t^3 be 15t^2?

  • @MrMinbs
    @MrMinbs 2 ปีที่แล้ว

    Perfect!! The most clear explanation!!

  • @favhwdg
    @favhwdg 5 ปีที่แล้ว +2

    Ayy thanks

  • @anjamularefin
    @anjamularefin ปีที่แล้ว +1

    you are awsome💌
    love your class

  • @dlwlrmae
    @dlwlrmae 3 ปีที่แล้ว

    God bless you. Really. I hope that you get everything you want and need. You’re a saviour 🙏

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    @jjvfly7651 4 ปีที่แล้ว

    Great info with more ads than daytime television

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      @Les303 3 ปีที่แล้ว +1

      just download an ad blocker if they bother you so much

  • @syifanurulawaliah5678
    @syifanurulawaliah5678 3 ปีที่แล้ว

    THANK YOU SO MUCH FOR SAVING MY TIME AND GRADE

  • @BSingh-on4qr
    @BSingh-on4qr 4 ปีที่แล้ว

    That tree explanation is brilliant for understanding

  • @aswinnath4118
    @aswinnath4118 7 หลายเดือนก่อน

    You are actually the GOAT

  • @NitashaAslam1
    @NitashaAslam1 3 ปีที่แล้ว

    I love The Organic Chem Tutor.

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    @ananyathukral100 4 ปีที่แล้ว +2

    This guy is a legend :)

  • @eriedului
    @eriedului 2 ปีที่แล้ว

    Happy to see people in the comments rejoicing that they saw the mistake on their own. I did too. dy/dt = 15t^2

  • @TMK264
    @TMK264 2 ปีที่แล้ว

    You are such an amazing teacher. Thank you.

  • @benjaminomare6685
    @benjaminomare6685 2 ปีที่แล้ว

    Right on time to save my me.Sir you doing a great job.

  • @salmaalyahya8916
    @salmaalyahya8916 3 ปีที่แล้ว

    man I would like to see you in heaven. i love you so much for this. for everything that you’ve been creating. i wish i can thank you enough. god bless your soul ♥️

  • @earthcinema8912
    @earthcinema8912 4 ปีที่แล้ว

    thanku very much sir.just 4min.I got this topic

  • @strawbloody123
    @strawbloody123 11 วันที่ผ่านมา

    I REALLY FEEL THANKFUL FOR THIS VIDEO. I CAN NOT UNDERSTAND MY TEACHER WHICH WE SPEAK THE SAME LANGUAGE😑BUT I GOT THAT TOPIC AT ONCE WITH YOUR EXPLANATION. YOU REALLY MAKE MY DAY🙌🏻🤍

  • @pardisattar9935
    @pardisattar9935 3 ปีที่แล้ว

    god bless you , you saved my grades :")

  • @CristianaRose-r7p
    @CristianaRose-r7p หลายเดือนก่อน +1

    people say this is calc 3, whilst I'm doing this crap 2 months after I graduated high school.

  • @rage6224
    @rage6224 ปีที่แล้ว

    GOD BLESS THIS MAN

  • @noorryen2560
    @noorryen2560 3 ปีที่แล้ว

    Man you are a savior

  • @sudhakard1991
    @sudhakard1991 3 ปีที่แล้ว +1

    Really superb sir upload more videos on maths sir

  • @SONO4B11T
    @SONO4B11T 2 ปีที่แล้ว

    Your Calculus videos are amazing! Thank you.

  • @480pixels
    @480pixels 2 ปีที่แล้ว

    THANK U FOR MAKING THIS CLEAR 😺👍👍👍👍👍

  • @muhammadrafaydanish8837
    @muhammadrafaydanish8837 2 ปีที่แล้ว

    Thank you man, always coming in clutch

  • @NorahAQA
    @NorahAQA ปีที่แล้ว

    What a great explanation! What a great topic!

  • @manashalari2987
    @manashalari2987 3 ปีที่แล้ว +1

    thanks for this.

  • @calculusandchembuddy
    @calculusandchembuddy 7 หลายเดือนก่อน

    Always make the tree diagram. It's really intuitive

  • @maqsoodabbas5112
    @maqsoodabbas5112 2 ปีที่แล้ว

    Great video 👍 but some mistakes that can made me confusioned...also in question 3 .. firstly the value of z write z=rst then it change with z=rst^2.

  • @yerassylkaiyrzhan
    @yerassylkaiyrzhan 8 หลายเดือนก่อน

    A Brilliant as Always

  • @sfds3999
    @sfds3999 4 ปีที่แล้ว +2

    i watched nearly all of the calculus 2 videos and i got 103 on the midterm exam. i dont want to know what if i watched all the videos lol

  • @samuelbassey6806
    @samuelbassey6806 ปีที่แล้ว +1

    Thanks for sharing

  • @makemymarket1772
    @makemymarket1772 ปีที่แล้ว +1

    You are amazing.!

  • @dipeshpokhrel7187
    @dipeshpokhrel7187 3 ปีที่แล้ว

    The professor we wish we all have

  • @the_kid777
    @the_kid777 ปีที่แล้ว

    Math becomes so clear that a 12 year old can learn multi-variable calculus, once you find just one thing... This channel.

  • @Nier_altruist
    @Nier_altruist 4 หลายเดือนก่อน +2

    Y'all remember when math was about numbers?

  • @sirnessaB
    @sirnessaB 10 หลายเดือนก่อน +1

    good work.

  • @mohamedfaisal6991
    @mohamedfaisal6991 2 ปีที่แล้ว +3

    15t^2 sir not 15t^3 little mistake there

  • @nolestock4291
    @nolestock4291 4 ปีที่แล้ว

    Thank you so much for the video. Without it I would have been in the dark with not only multivariate chaining, but single variable chaining as well.

  • @arshsingh3071
    @arshsingh3071 3 ปีที่แล้ว

    YOU SIR ARE GOATED

  • @Muvoka
    @Muvoka 4 ปีที่แล้ว

    you've saved me.....thank you so much

  • @mohammadamanalimyzada8332
    @mohammadamanalimyzada8332 3 ปีที่แล้ว

    thank you. i really enjoyed and understood it.

  • @sohailkhanzbr1013
    @sohailkhanzbr1013 2 ปีที่แล้ว

    Good explanation

  • @glebignites5278
    @glebignites5278 3 ปีที่แล้ว

    Thank you sir! This was very helpful.

  • @b.f.skinner4383
    @b.f.skinner4383 4 ปีที่แล้ว

    Very easily explained, thank you!

  • @danielhakim3739
    @danielhakim3739 2 ปีที่แล้ว

    thankyou bro really bermanfaat

  • @jecs3300
    @jecs3300 5 ปีที่แล้ว

    can u make a video about how to assume the value of something in word problems, for example ,the value of x.... i'm a first yr student and i don't know how to approach some word problems.... anyway, thank u for ur videos, it helps me a lot.... if I know ur name, I will give u some precious gift

  • @connorB333
    @connorB333 3 ปีที่แล้ว

    Managed to understand this first time i’d seen it thanks to you!
    One thing i’m unsure of though, is in the final example where you begin combining terms, (2zy^3) and (2rst) you multiply together to get (4zy^3rst), but you do not combine (3y^2z^2) with (3r^2st^2), why is this?

  • @SkyLinkRavio
    @SkyLinkRavio หลายเดือนก่อน

    i love you organic chemistry tutor

  • @moyobakare5535
    @moyobakare5535 3 ปีที่แล้ว

    Thank you, this was so helpful!

  • @rupesh.nz0613
    @rupesh.nz0613 ปีที่แล้ว

    Perfect video, thanks a lot! :)

  • @akashsreeni5314
    @akashsreeni5314 3 ปีที่แล้ว

    Superb video. Thanks

  • @isabellemunoz3273
    @isabellemunoz3273 3 ปีที่แล้ว

    I cannot thank you enough!

  • @nicolasleblanc7363
    @nicolasleblanc7363 5 ปีที่แล้ว

    Great video! Could you make a video about the second derivative of a multivariable function when you have to do the chain rule?

  • @sallubegg6225
    @sallubegg6225 2 ปีที่แล้ว +2

    Great video! there is a small mistake At 3:52 should be dy/dt=15t^2.

  • @yousufhaidari6319
    @yousufhaidari6319 2 ปีที่แล้ว

    Thank you brother

  • @IrishRanter
    @IrishRanter 9 หลายเดือนก่อน

    OrganicChemistry Tutor really carrying the US education system

  • @Zeynep999-o5e
    @Zeynep999-o5e 3 ปีที่แล้ว +1

    3:55 it is not 15t^3 but 15t^2 it is not a huge prob but just sayin, thanks for the video!

  • @justzee1933
    @justzee1933 หลายเดือนก่อน

    Amazing video but wouldve been nice if double derivatives were covered

  • @EducatorOP
    @EducatorOP 2 ปีที่แล้ว

    Thanks for saving my semester hahahaha 😃❤️

  • @salman-oi9bp
    @salman-oi9bp 5 ปีที่แล้ว +1

    Can u plz make a video fourier series and line integral and also on greens theorem

  • @OyukiMaqueda
    @OyukiMaqueda 2 ปีที่แล้ว +1

    is first exercise dy/dt=15t^2 NOT 15t^3 right?