Partial Derivatives - Multivariable Calculus

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  • čas přidán 18. 05. 2017
  • This calculus 3 video tutorial explains how to find first order partial derivatives of functions with two and three variables. It provides examples of differentiating functions with respect to x or with respect to y using techniques such as the product rule, quotient rule, and power rule. This video contains plenty of examples and practice problems.
    3D Coordinate System: • Plotting Points In a T...
    3D Distance Formula: • How To Find The Distan...
    Equation of a 3D Sphere: • How To Find The Equati...
    Calculus 3 - Intro to Vectors: • Calculus 3 - Intro To ...
    Calculus 3 - The Dot Product: • Calculus 3 - The Dot P...
    Angle Between Two Vectors: • Finding The Angle Betw...
    Parallel & Orthogonal Vectors: • Are The Two Vectors Pa...
    Direction Cosines and Vectors: • Calculus 3 - Direction...
    Calculus 3 - Vector Projections: • Calculus 3 - Vector Pr...
    Cross Product of 2 Vectors: • Cross Product of Two V...
    _______________________________________________________________________________________
    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...
    Lagrange Multipliers: • Lagrange Multipliers
    Triple Integrals: • Triple Integrals - Cal...
    2nd Order - Differential Equations: • Second Order Linear Di...
    Undetermined Coefficients: • Method of Undetermined...
    Variation of Parameters: • Variation of Parameter...

Komentáře • 1K

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Před 5 měsíci +11

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @Wasoska
    @Wasoska Před 4 lety +4282

    How many engineer students here ?

    • @GiuResta
      @GiuResta Před 4 lety +111

      no one cares about geology students :(

    • @Wasoska
      @Wasoska Před 4 lety +76

      @@GiuResta in my college this is calculus 3 and for what I know, only engineers have to take calculus 3.

    • @dudeisawesome7202
      @dudeisawesome7202 Před 4 lety +35

      @@Wasoska Same, although there are some computer science students in my class lol

    • @danialasmady2953
      @danialasmady2953 Před 4 lety +16

      @@Wasoska In my university, geology students have to take these as well :(

    • @josephsweitzer5471
      @josephsweitzer5471 Před 4 lety +23

      Lourdes Rodz I have to do this for chemistry and physics, like WTF. I want to die.

  • @erikmachado4489
    @erikmachado4489 Před 3 lety +1183

    What truly makes this channel great is he takes his time to explain a prior concept, so that we can fully understand what's going on. Most channels just say something like "I assume you know how to do this part" and proceeds to solve the problem forcing students to go back and remember something they haven't seen in a bit when literally a simple review can come a long way.

    • @undefined.infinity3106
      @undefined.infinity3106 Před 2 lety +48

      that way he shows every derivative part by part, irl any teacher never do that for their students.

    • @devalon8568
      @devalon8568 Před 2 lety +5

      He sometimes does this too, though. But yea better than other teachers.

    • @blurryface616
      @blurryface616 Před 2 lety +2

      It needs patience to do that and most teachers don't have it.

    • @bruceleroyalty
      @bruceleroyalty Před rokem +2

      This channel has saved me in the physics and calculus series both 🙏

    • @anyegodlove3546
      @anyegodlove3546 Před rokem

      it's well simplified

  • @chemthingz7467
    @chemthingz7467 Před 5 lety +1133

    To express my gratitude, I watched all of the ads that appeared

  • @sophiaonyoutube
    @sophiaonyoutube Před rokem +324

    It's 2022 and this guy's still saving me from failing my exams. Thank you so much, you are a hero!

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    @joshp3446 Před 4 lety +360

    this guys is absolutely amazing, it seems like he knows everything, and can translate it into dumb for the rest of us. Thank You O.C.T!

    • @Samdala.
      @Samdala. Před 4 lety +9

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  • @juleslcj1396
    @juleslcj1396 Před rokem +123

    Again thank you for your great work. You've literally taught me calculus 1,2 and now three. You saved me in my high school chemistry and physics classes especially during the covid lockdown. My high school grades in chemistry and physics are literally because of you. Basically you're the reason why I was able to reach the qualification for an engineering degree and you're still helping me survive the degree. Thank you man! Honestly I owe you.

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  • @peachfreude
    @peachfreude Před 5 lety +216

    I love that you giving us many examples question and then explain in details how to solve the questions. You're such a good teacher. Thank you so much!

  • @angelahuynh5074
    @angelahuynh5074 Před rokem +34

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  • @billionaire7781
    @billionaire7781 Před 6 lety +353

    Way better than khan academy

    • @ArsArcanum
      @ArsArcanum Před 5 lety +46

      khan academy sucks. they over explain stuff to the point where you're lost, then ask you to solve. Khan academy only works for basic match, etc.

    • @tinambalienhle7691
      @tinambalienhle7691 Před 5 lety +15

      waaaaaaaaaaaaaaaay better..

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    • @e.b.1279
      @e.b.1279 Před 3 lety +20

      While I find The Organic Chemistry Tutor FAR SUPERIOR to Khan Academy, I would never say it's outright bad. In fact, I would say that Khan Academy "paved the way" for (better) future online STEM tutors!! I wouldn't be surprised if even O.C.T. in younger days spent even some small amount of time with Khan Academy content.
      However, this is CLEARLY far, far superior!!

  • @austinmorris455
    @austinmorris455 Před 2 lety +13

    4 years later and you’re saving me the night before my calculus final. thank you bro❤️

  • @kerialyscoss1289
    @kerialyscoss1289 Před 6 lety +20

    LOVE LOVE THIS VIDEO. THANK YOU SO MUCH, YOU EXPLAINED EVERYTHING SO DETAILED AND EVEN THE BASIC DERIVATIVES FROM CALC 1. THANK YOU SO MUCH!!!!!

  • @LustrousKingMax
    @LustrousKingMax Před 4 lety +13

    I don't think you understand how great you are sir. You are legendary.. I can't imagine varsity without your youtube videos!

  • @hughpearse
    @hughpearse Před 5 lety +14

    Best Partial Derivatives video so far on youtube, great job!

  • @jasminscheven7732
    @jasminscheven7732 Před rokem +6

    This really laid down the basics I needed for my Computational Finance degree. Would have been lost without it. Much appreciated!

  • @lj54
    @lj54 Před 7 lety +32

    Thank you! I've been following your video's since Calculus I. I'm now in Calculus III, so my excitement upon seeing this video was pretty amazing. Thanks!
    I'm taking Differential Equations next semester and it would GREAT if you could add some of those videos!
    Thank you!

  • @juleslcj1396
    @juleslcj1396 Před rokem +12

    You have done what my lecturer could not accomplish in his three hour lecture. Thank you so much, you're a life saver.

    • @michaelbujaki2462
      @michaelbujaki2462 Před rokem

      And he can do it in 60, 48, 40, or 30 minutes depending on how fast you can listen.

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    @nkhjk3457 Před 4 lety +44

    forgot to wake up for online class , this guy saved my ass XD

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    @Czar684 Před měsícem +1

    You were one of my pillars of support that helped me get through college and earn a degree of Bachelor of Science in Civil Engineering.

  • @famwang7090
    @famwang7090 Před 3 lety +5

    VERY HELPFUL!!! For a first time learner, this video was extremely clear and direct to the point.

  • @mphomokhwebane5696
    @mphomokhwebane5696 Před 3 lety +9

    this person is a master,he knows almost everything academically

  • @user-br3mg5gt3g
    @user-br3mg5gt3g Před 2 měsíci

    You have no idea how much you've helped me with your videos through the years! Even in the moments in which math is hard and misunderstandable you come and the bright comes with you! Be blessed!
    Greetings from Bulgaria and Technical University of Sofia!

  • @adonaig.446
    @adonaig.446 Před 7 lety +33

    Thanks a bunch. I find all of your videos very helpful. Some people just have the gift to teach.
    Could you please consider a series on quantitative chemical analysis?

  • @stevenwhitesell1804
    @stevenwhitesell1804 Před 3 lety +15

    The pointer on when to use and not to use the product rule @ 21:10 is excellent. Thank you!

    • @dannynufer1296
      @dannynufer1296 Před rokem

      Honestly!! I've been fucking up so much through using product rule when I didn't need to - That little tip, though it seems obvious now he's explained it, has helped me no end haha.

  • @wardahassan15
    @wardahassan15 Před 4 lety +6

    istg your channel is the reason im passing calculus. Bless your soul dude

  • @ordinaryus5753
    @ordinaryus5753 Před 27 dny

    I've got calculus exam in 2 days, doing final reviews, massive thanks man. You are genuinely a savior

  • @Aim4sixmeals
    @Aim4sixmeals Před 5 lety +1

    Better than other channels showing how to do these things. This guy is straight to the point no bullshit/crap whatsoever.

  • @sia7001
    @sia7001 Před 6 lety +5

    THIS VIDEO SAVED MY LIFE! THANK YOU SO MUCH! BLESS YOUR SOUL :'D

  • @shathyanaraynanb9506
    @shathyanaraynanb9506 Před 4 lety +4

    Thank you so much really helped me a lot with the exams approaching ...thanks once again

  • @daves333
    @daves333 Před 3 lety

    This video is perfect. You made sense of something that wasn't clicking with me at all. Thank you so much.

  • @Australis_
    @Australis_ Před 2 lety +1

    This video is gold, thanks so much for taking the time to do it!

  • @peteporcelli7829
    @peteporcelli7829 Před 5 lety +4

    my first semester i lied about taking calc when i enrolled in physics so i had to watch your video on derivatives.
    now im taking meteorological measurement and lied about takin calc 2 so yeah youre the bomb bro.

  • @brindaprothia9973
    @brindaprothia9973 Před 4 lety +28

    When I don't understand my calc prof's lecture, I don't stress because I know that I can find your videos and understand everything! Thank you so much for your excellent way of teaching! :)

    • @TrinidaddyGdom
      @TrinidaddyGdom Před rokem +4

      I missed every class before my exam tomorrow and im feeling confident tbh lol

  • @Youtuber-xc8vl
    @Youtuber-xc8vl Před 2 lety +1

    this honestly is one of your best works. thank you so much

  • @crazycuban420
    @crazycuban420 Před 5 lety

    The clarity of your videos is beautiful.

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    @mansfieldclayn7994 Před rokem +5

    This man is great, I love this man’s body, I love this man’s body of work.

  • @m4trixbee477
    @m4trixbee477 Před 2 lety +3

    this is the only 1 hour educational video that makes me want to listen and learn

  • @guruprasath8548
    @guruprasath8548 Před 3 lety +1

    Really appreciate the effort you took to teach us this.

  • @kalumakalongojnr4346
    @kalumakalongojnr4346 Před 2 lety

    This man sounds calm,kind and humble,,,.good work sir

  • @abdulnazary1501
    @abdulnazary1501 Před 6 lety +12

    TOCT, If you ever get a chance it would be a big help if you can make videos covering the unit calculus 3 (multivariable calculus). There are other videos on this subject, but the instructors do not teach the way you do. Thanks!

  • @djamelhimani8012
    @djamelhimani8012 Před 4 lety +4

    thank u so much sir , u helped me a lot and i wish inchallah what i have learned will help me in the exam that i will pass this next week

  • @celsolompot6556
    @celsolompot6556 Před 3 lety

    I didn't skip all the ads. That's the only way to thank you! Thank you so much!

  • @zurzakne-etra7069
    @zurzakne-etra7069 Před 3 lety +1

    I've watched this 3 times now. So very helpful!

  • @centainejoseph337
    @centainejoseph337 Před 5 lety +120

    Can you do a video on calculus 3 topics that fall under partial derivatives such as
    1. Limits and Continuity in Higher Dimension
    2Directional Derivatives and Gradient Vectors
    3. Tangent Planes and Differentials
    4.Extreme Values and Saddle Points

    • @wrjazziel
      @wrjazziel Před 4 lety +19

      Do you want a pony too? ....
      ... JK man LOL

    • @ahmet8266
      @ahmet8266 Před 4 lety +6

      @@wrjazziel haha very funny

    • @deedeeworksitout186
      @deedeeworksitout186 Před 3 lety +9

      Check out Math TV with Professor V, there’s videos about those topics!

  • @conamore7887
    @conamore7887 Před 3 lety +7

    I never heard of partial derivative before but after watching this tutorial, I've got my basic concepts.شكرا يا استاذ

    • @dkke825
      @dkke825 Před rokem

      czcams.com/video/Zuh5EiW0o7w/video.html

  • @timwigglesworth6873
    @timwigglesworth6873 Před 4 lety +1

    watched it in 10 mins could have been shorter but thank god someone finally talked about fxx and fxy and all that cheers chief

  • @IvyANguyen
    @IvyANguyen Před 5 lety +1

    Thanks for this on how partial derivatives work. This was a big help.

  • @everchann
    @everchann Před 10 měsíci +22

    how many computer science students here?

  • @Shaylicious___
    @Shaylicious___ Před 6 lety +31

    Thank you so much, I can't even explain how much you've helped me 😩😩♥️♥️🙌🏽✅🤸🏽‍♂️👌🏽

  • @aly7514
    @aly7514 Před 2 lety +2

    thank you so much for this!

  • @ahmediu9984
    @ahmediu9984 Před rokem +2

    I am from Sudan and i just want to tell you that you are the only reason i am getting excellent grades and i also love math because of you beautiful way of teaching and making us understand the hardest equations using the simplest terms and detailed explanation thank you very much ❤️❤️❤️❤️❤️❤️❤️

  • @asaddtariq
    @asaddtariq Před 4 lety +6

    hey Bud, i love you so so much, that i can't explain to you. i got 2.7 gpa in just a week, because of you thanks

  • @jojo-lj7tc
    @jojo-lj7tc Před 5 lety +3

    Thank you so much for helping me please can you make a video on the limit of multivariable

  • @jacobschmitt7033
    @jacobschmitt7033 Před 3 lety +1

    you deserve every penny (and more) that you make from these videos.

  • @jasminewashington8076
    @jasminewashington8076 Před 4 lety +2

    Thank you so much for making this video! You are a life saver.

  • @LongLiveMasculinity
    @LongLiveMasculinity Před 5 lety +3

    on 12:05 you could also apply laws of logarithm whereby z=lnx^2 -lnY

  • @hassanabdulla3824
    @hassanabdulla3824 Před 7 lety +74

    I hope to you explain this topics:
    1-static .
    2-calculus 2 , 3.
    3-dynamics.
    4-linear algebra.
    5-material science.
    6-fundamentals of physics and bulk properties of matter.
    7-engineering thermodynamics .

  • @user-bd4wx7pp9q
    @user-bd4wx7pp9q Před 4 lety +1

    ربنا يكرم حضرتك ياااارب تستاهل كل خير علي مجهودك بالتوفيق دايما يااارب ♥️♥️🌷

  • @CharlesMosesEmeruka-kz9xt
    @CharlesMosesEmeruka-kz9xt Před 5 měsíci

    Oh my God! You made partial derivatives so easy for me to understand. You are simply AMAZING!! WOW!!!

  • @NAWAFf15
    @NAWAFf15 Před 6 lety +4

    انا اشهد بالله انك اسطوره

  • @rohit3265
    @rohit3265 Před 7 lety +8

    your videos are awesome but can you upload videos for calculus used in physics

  • @BERLINFASHIONFOU
    @BERLINFASHIONFOU Před 5 lety +2

    This video is awesome! Thank you so so much! Love your account

  • @raphaelling0663
    @raphaelling0663 Před 3 lety +2

    Thanks. Easy to understand and able to get an A+ for this subject.

  • @flamingstar1604
    @flamingstar1604 Před 5 lety +7

    I need a lesson about maximum and minimum for function of two variables

  • @Golden_348
    @Golden_348 Před 7 lety +4

    Please show me the mechanism of baking process

  • @kailyn3600
    @kailyn3600 Před 5 lety +1

    I would just like to say thank you....your videos helped me pass college calc 1 and 2.

  • @haiderrajput4315
    @haiderrajput4315 Před 5 lety +2

    Really good effort.. I appreciate your efforts for helping other by your knowledge! 👍👍

  • @miribear3809
    @miribear3809 Před rokem +7

    How many Econ students here?

  • @catcen9631
    @catcen9631 Před 2 lety +11

    It's a great video! I only have one question left... How do I know when the constant becomes 0 or stays the same, when we do differentiate it?

    • @realndu
      @realndu Před 2 lety +7

      If we're differentiating with respect to x, y is considered a constant and vice versa. If you're differentiating with respect to one of the variables and the other variable is a stand alone, it will become 0. If the other variable is the product to the variable being differentiated respectively, then its ignored and not made to be 0. Hope this helps :)

    • @Erik-ed8ml
      @Erik-ed8ml Před rokem

      @@realndu this comment saved my life thank you

    • @realndu
      @realndu Před rokem

      @@Erik-ed8ml You're welcome!!

  • @tedle2948
    @tedle2948 Před 2 měsíci

    I can't imagine there is a video like this, thank you sir

  • @mrjustin2607
    @mrjustin2607 Před 5 lety +1

    Hey man you really helped me alot, really. You're the best at it !

  • @Pavat__Ke
    @Pavat__Ke Před 5 lety +3

    2 years later and the video is still super useful..

  • @j.padilla309
    @j.padilla309 Před 5 lety +15

    Hi,
    Why some constant, you leave them as it is, and some you derive them to 0. I am confused. Thanks.

    • @hideyoshi4794
      @hideyoshi4794 Před 5 lety +13

      You leave them when the constants are next to each other without a + in-between , if it's alone you derive it to 0. I hope you understand and Sorry for the late reply :)

    • @bigmann8932
      @bigmann8932 Před 4 lety

      Catch The Cougar thank you

    • @darrenvillaroman7736
      @darrenvillaroman7736 Před 3 lety

      @@hideyoshi4794 thanks a lot

    • @hideyoshi4794
      @hideyoshi4794 Před 3 lety +2

      @@darrenvillaroman7736 im glad that i helped sir

  • @kaviamedi8079
    @kaviamedi8079 Před rokem +1

    This video is really helpful in understanding the partial derivatives. thank you so much!

  • @scr34m_piu
    @scr34m_piu Před 5 lety +2

    Damn, this 1 hour is saving my semester bro. Keep up ur good work!!!!!!!

  • @eray7232
    @eray7232 Před rokem +3

    even x and y get more respect than me

  • @abrarmahi
    @abrarmahi Před 3 lety +6

    where my comp sci students at

  • @austinmakachola2516
    @austinmakachola2516 Před 6 lety +1

    Thank you very much. You've made my work easier.

  • @NiiAryee
    @NiiAryee Před 2 lety

    Excellent as always, in simple, plain English.

  • @eggieeeeeee
    @eggieeeeeee Před 4 lety +9

    People, I'm only 14 years old, but I am l learning Multivariable Calculus! Thanks to this guy.

  • @somalilanderman6429
    @somalilanderman6429 Před 4 lety +3

    For the first example
    When we were finding fy?
    What is the reason that 7 x.squered become =0??????

    • @markcross109
      @markcross109 Před 4 lety +1

      There's no "y" variable in that term, and we know that differentiation can extend until you reach zero from y' to y^infinity.

    • @somalilanderman6429
      @somalilanderman6429 Před 4 lety

      @@markcross109
      Thanks alot my freind💔

    • @markcross109
      @markcross109 Před 4 lety +1

      @@somalilanderman6429 welcome my friend.

  • @shafaqueiqbal9728
    @shafaqueiqbal9728 Před 7 měsíci

    The video was just amazing. It clears all my doubts. Thank you so much 👍👍

  • @the_kid777
    @the_kid777 Před 7 měsíci

    These days, I was tackling math without the help of your videos. But today, after crying for the whole day because I couldn't understand a single thing, I finally realized that doing math without your videos was an impossible attempt. Thank goodness I made the decision to search up for your video on CZcams.

  • @yamkelaniking8380
    @yamkelaniking8380 Před 3 lety +3

    dude lets just get married and have Organic chemistry Tutor babies already

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    @pog9238 Před rokem +1

    YOU ARE A LEGEND, YOU ARE THE BEST OF THE BEST

  • @kjolencarlcayapas3913
    @kjolencarlcayapas3913 Před 3 lety

    Thank you so much! It helped me learn more about my current lesson!

  • @lujainkhoj1018
    @lujainkhoj1018 Před 5 lety +1

    I’m really so grateful 2 u! 😭🖤✨

  • @laurencampbell7532
    @laurencampbell7532 Před 6 lety +2

    Thank you . So easy to follow :)

  • @chisomnwodo2905
    @chisomnwodo2905 Před 3 měsíci

    GOD BLESS YOU FOR SHARING YOUR WISDOM . You've literally helped and saved so many students from failing . You're a life saver !

  • @rimshy
    @rimshy Před rokem

    This lecture solved all of my confusions about partial derivatives

  • @ndereratjijahura2048
    @ndereratjijahura2048 Před 2 lety

    Thank you so much sir. All your presentations are clear. You deserve prize from me.

  • @peerapongwattanthaweesin8304

    Absolutely helpful, thanks my guy.

  • @hi77777
    @hi77777 Před měsícem

    You are an angel, you deserve so many blessings in your life!

  • @godzillaHaido
    @godzillaHaido Před 2 lety

    man, thanks so much! when you go back to show how and when to use product and quotient rule really helps

  • @makuwathembi1521
    @makuwathembi1521 Před 5 lety +1

    you really know how to explain...big up to you

  • @youshaarif4253
    @youshaarif4253 Před 10 měsíci

    Thank you, that exactly explained what I was looking for. A lot of love an respect from Japan

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    @AbdihakimHeroes Před 3 lety +1

    Who agrees with me that O.C.T is much better than Khan academy. This guy deserves to win global award for having positive impact to all students as well as the teachers. Many thanks

  • @ntokotom147
    @ntokotom147 Před 2 lety

    You're a blessing sir. Thank you so much for your help