Chain Rule With Partial Derivatives - Multivariable Calculus

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  • Опубліковано 30 жов 2019
  • This multivariable calculus video explains how to evaluate partial derivatives using the chain rule and the help of a tree diagram.
    Area - Vector Cross Product: • Area of a Parallelogra...
    Triple Scalar Product:
    • Volume of a Parallelep...
    Vector Equations of Lines:
    • How To Find The Vector...
    The Equation of a Plane:
    • How To Find The Equati...
    Planar Equation - 3 Points:
    • How To Find The Equati...
    _______________________________
    Lines & Planes - Intersection:
    • How To Find The Point ...
    Angle Between Two Planes:
    • How To Find The Angle ...
    Distance Between Point and Plane:
    • How To Find The Distan...
    Chain Rule - Partial Derivatives:
    • Chain Rule With Partia...
    Implicit Partial Differentiation:
    • Implicit Differentiati...
    ________________________________
    Directional Derivatives:
    • How To Find The Direct...
    Limits of Multivariable Functions:
    • Limits of Multivariabl...
    Double Integrals:
    • Double Integrals
    Local Extrema & Critical Points:
    • Local Extrema, Critica...
    Absolute Extrema - Max & Min:
    • Absolute Maximum and M...
    ________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

КОМЕНТАРІ • 222

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  5 місяців тому +3

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

  • @additco1
    @additco1 4 роки тому +475

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

    • @foundmee
      @foundmee 2 роки тому +57

      I was looking for such a comment

    • @yeasinibnekadir7464
      @yeasinibnekadir7464 2 роки тому +7

      @@foundmee same

    • @mosis9276
      @mosis9276 2 роки тому +9

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

    • @Speedypants88
      @Speedypants88 Рік тому +3

      Thanks man, great comment!

    • @sophiaonyoutube
      @sophiaonyoutube Рік тому

      thanks!

  • @catcen9631
    @catcen9631 2 роки тому +185

    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...
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    • @anthonyajao2156
      @anthonyajao2156 9 місяців тому +3

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

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    @AdrianGonzalezBlogs 4 роки тому +141

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

    • @imaginer04
      @imaginer04 4 роки тому

      Indeed.

    • @ironman5034
      @ironman5034 3 роки тому +4

      Same here, calc 2

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      @NoName-bh4pf 2 роки тому +3

      How’d you do?

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      @Nickv333 2 роки тому +1

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  • @meat55
    @meat55 4 роки тому +486

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

    • @janjansen2091
      @janjansen2091 4 роки тому +33

      ikr I was so annoyed by that haha

    • @dj.a.4109
      @dj.a.4109 4 роки тому +3

      Yeah

    • @divyoroy9056
      @divyoroy9056 4 роки тому +10

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

    • @hamzarajab6281
      @hamzarajab6281 4 роки тому +40

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

    • @mikechalek9281
      @mikechalek9281 3 роки тому +27

      It was just a simple mistake

  • @carlossantana8306
    @carlossantana8306 4 роки тому +21

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  • @andypantes8062
    @andypantes8062 Рік тому +8

    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!

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    @jamesa.646 4 роки тому +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

  • @georgesadler7830
    @georgesadler7830 Рік тому +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.

  • @boramawi
    @boramawi 2 роки тому +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.

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    @waanochannel6502 4 роки тому +49

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    @FarhadADeven 3 роки тому +3

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    @RicardoGonzalez-tg3lw 5 місяців тому

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  • @helnyxiscool
    @helnyxiscool 2 місяці тому

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    @parneetkaurreddu4320 3 роки тому +5

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    @muteahmdv 4 роки тому +15

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  • @MrMinbs
    @MrMinbs Рік тому

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    @jyothiswaroop2964 2 роки тому +1

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    @elliewolcott6254 2 роки тому +1

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    @kaeshaun4037 3 роки тому +8

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    • @OGCBxGrub
      @OGCBxGrub 2 роки тому +5

      This is calculus 3

    • @Batman_2003
      @Batman_2003 9 місяців тому

      @@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

  • @gautambhaskar4160
    @gautambhaskar4160 2 роки тому

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    @NorahAQA Рік тому

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      @anmol3457 Рік тому

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  • @b.f.skinner4383
    @b.f.skinner4383 4 роки тому

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    @NitashaAslam1 3 роки тому

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    @favhwdg 4 роки тому +2

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    @earthcinema8912 3 роки тому

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    @glebignites5278 3 роки тому

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    @zuhairalsaffar7001 3 роки тому

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    @moyobakare5535 3 роки тому

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    @peterfisher5931 4 роки тому +20

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    @rupesh.nz0613 7 місяців тому

    Perfect video, thanks a lot! :)

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    @richardvasquez5912 2 роки тому

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  • @BSingh-on4qr
    @BSingh-on4qr 4 роки тому

    That tree explanation is brilliant for understanding

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    @mohammadamanalimyzada8332 3 роки тому

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    @480pixels Рік тому

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    @akashsreeni5314 3 роки тому

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    @gambitsgobrrr5687 3 роки тому +8

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    @danielhakim3739 2 роки тому

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    @sohailkhanzbr1013 2 роки тому

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    @pardisattar9935 3 роки тому

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    @Muvoka 3 роки тому

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    @yerassylkaiyrzhan 3 місяці тому

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    @sirnessaB 5 місяців тому +1

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    @KT-dv8qy Рік тому

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    @manashalari2987 2 роки тому +1

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    @samuelbassey6806 Рік тому +1

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    @yousufhaidari6319 2 роки тому

    Thank you brother

  • @brandonprice1901
    @brandonprice1901 8 місяців тому +6

    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 Місяць тому

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

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    @makemymarket1772 9 місяців тому +1

    You are amazing.!

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    @isabellemunoz3273 3 роки тому

    I cannot thank you enough!

  • @blndcr7766
    @blndcr7766 3 роки тому

    Well done , thanks

  • @nolestock4291
    @nolestock4291 4 роки тому

    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.

  • @abubakarsadickaziz8513
    @abubakarsadickaziz8513 2 роки тому +1

    Very helpful 👌❤

  • @doom8185
    @doom8185 9 місяців тому +6

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

  • @dipeshpokhrel7187
    @dipeshpokhrel7187 2 роки тому

    The professor we wish we all have

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    @rage6224 Рік тому

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    @noorryen2560 2 роки тому

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    @sudhakard5604 3 роки тому +1

    Really superb sir upload more videos on maths sir

  • @Riad-Eleid
    @Riad-Eleid 11 місяців тому

    Thank you

  • @TCXGamer
    @TCXGamer 2 роки тому

    Great video!

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    @zainabfatymah56 3 роки тому

    Best lecture 😄

  • @ajiboladetomi4053
    @ajiboladetomi4053 3 роки тому

    Thank you sir

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    @natashasthilaire1950 3 роки тому

    thank you sir!! ♥

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    @al-washisarkerturan8913 Рік тому

    very useful

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    @arshsingh3071 2 роки тому

    YOU SIR ARE GOATED

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    @adelaidee6053 3 роки тому

    Thank you soooooo much

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    @willdaniels5353 3 роки тому

    Great Video!!!

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    @abdullahbassuony14 3 роки тому

    Thank you a lot

  • @calculusandchembuddy
    @calculusandchembuddy 2 місяці тому

    Always make the tree diagram. It's really intuitive

  • @nicolasleblanc7363
    @nicolasleblanc7363 4 роки тому

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

  • @eriedului
    @eriedului 2 роки тому

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

  • @windoffkyei7490
    @windoffkyei7490 2 роки тому

    God really bless u boss

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    @darkcornrs68jasbro4 3 роки тому

    you saved me 🙏

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    @RaniaHassani-ki7us Місяць тому

    thank you

  • @EducatorOP
    @EducatorOP 2 роки тому

    Thanks for saving my semester hahahaha 😃❤️

  • @jecs3300
    @jecs3300 4 роки тому

    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

  • @iamsofiazakaria
    @iamsofiazakaria 3 роки тому

    got it!
    thank you

  • @impulsiveguys7599
    @impulsiveguys7599 8 місяців тому +3

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

  • @maqsoodabbas5112
    @maqsoodabbas5112 2 роки тому

    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.

  • @GRANDBALOCH
    @GRANDBALOCH 2 роки тому

    So nice

  • @rainstorm.
    @rainstorm. 4 роки тому

    Thank youuuuu