Partial Derivatives - Multivariable Calculus

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  • Опубліковано 18 тра 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...

КОМЕНТАРІ • 1 тис.

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  6 місяців тому +17

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

  • @erikmachado4489
    @erikmachado4489 3 роки тому +1210

    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 2 роки тому +51

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

    • @devalon8568
      @devalon8568 2 роки тому +5

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

    • @blurryface616
      @blurryface616 2 роки тому +2

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

    • @bruceleroyalty
      @bruceleroyalty Рік тому +2

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

    • @anyegodlove3546
      @anyegodlove3546 Рік тому

      it's well simplified

  • @Wasoska
    @Wasoska 4 роки тому +4419

    How many engineer students here ?

    • @GiuResta
      @GiuResta 4 роки тому +112

      no one cares about geology students :(

    • @Wasoska
      @Wasoska 4 роки тому +80

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

    • @dudeisawesome7202
      @dudeisawesome7202 4 роки тому +35

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

    • @danialasmady2953
      @danialasmady2953 4 роки тому +16

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

    • @josephsweitzer5471
      @josephsweitzer5471 4 роки тому +23

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

  • @chemthingz7467
    @chemthingz7467 5 років тому +1172

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

    • @ronallan8680
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    • @markcross109
      @markcross109 5 років тому +10

      Salamat mahal ko.

    • @pandamamoosshhhshek9512
      @pandamamoosshhhshek9512 5 років тому +8

      Omg same. He's really a savior.

    • @lynns4122
      @lynns4122 4 роки тому +3

      Nice

    • @wrjazziel
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  • @sophiaonyoutube
    @sophiaonyoutube Рік тому +337

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

    • @SharifKhan-tz9pn
      @SharifKhan-tz9pn Рік тому +3

      same to you.

    • @ritik7906
      @ritik7906 9 місяців тому

      true 5 days before exam

    • @MichelleHugli
      @MichelleHugli 7 місяців тому

      Day of the test!!!!

    • @CharlesMosesEmeruka-kz9xt
      @CharlesMosesEmeruka-kz9xt 6 місяців тому +1

      He is more than just a hero. He is just a God given Gift to humanity's education. Wow! I love the way he passionately explains the concepts.

    • @random1ndividual
      @random1ndividual 6 місяців тому +2

      almost 2024 for me lmao

  • @juleslcj1396
    @juleslcj1396 Рік тому +130

    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.

  • @joshp3446
    @joshp3446 4 роки тому +368

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    @peachfreude 5 років тому +218

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  • @sentinel_1752
    @sentinel_1752 4 роки тому +86

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  • @angelahuynh5074
    @angelahuynh5074 Рік тому +36

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  • @austinmorris455
    @austinmorris455 2 роки тому +14

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

  • @hughpearse
    @hughpearse 6 років тому +14

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

  • @juleslcj1396
    @juleslcj1396 Рік тому +13

    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 Рік тому

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

  • @LustrousKingMax
    @LustrousKingMax 4 роки тому +14

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  • @kerialyscoss1289
    @kerialyscoss1289 6 років тому +21

    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!!!!!

  • @jasminscheven7732
    @jasminscheven7732 Рік тому +6

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

  • @mphomokhwebane5696
    @mphomokhwebane5696 3 роки тому +9

    this person is a master,he knows almost everything academically

  • @famwang7090
    @famwang7090 3 роки тому +5

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

  • @wardahassan15
    @wardahassan15 4 роки тому +6

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

  • @lj54
    @lj54 7 років тому +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!

  • @stevenwhitesell1804
    @stevenwhitesell1804 3 роки тому +15

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

    • @dannynufer1296
      @dannynufer1296 Рік тому

      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.

  • @Aim4sixmeals
    @Aim4sixmeals 5 років тому +1

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

  • @nkhjk3457
    @nkhjk3457 4 роки тому +44

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

  • @brindaprothia9973
    @brindaprothia9973 4 роки тому +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 Рік тому +4

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

  • @sia7001
    @sia7001 6 років тому +5

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

  • @user-br3mg5gt3g
    @user-br3mg5gt3g 4 місяці тому

    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!

  • @Czar684
    @Czar684 3 місяці тому +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.

  • @m4trixbee477
    @m4trixbee477 2 роки тому +3

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

  • @adonaig.446
    @adonaig.446 7 років тому +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?

  • @daves333
    @daves333 3 роки тому

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

  • @ordinaryus5753
    @ordinaryus5753 2 місяці тому

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

  • @peteporcelli7829
    @peteporcelli7829 5 років тому +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.

  • @mansfieldclayn7994
    @mansfieldclayn7994 Рік тому +5

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

  • @timwigglesworth6873
    @timwigglesworth6873 4 роки тому +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

  • @celsolompot6556
    @celsolompot6556 3 роки тому

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

  • @conamore7887
    @conamore7887 3 роки тому +7

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

    • @dkke825
      @dkke825 Рік тому

      ua-cam.com/video/Zuh5EiW0o7w/v-deo.html

  • @shathyanaraynanb9506
    @shathyanaraynanb9506 4 роки тому +4

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

  • @Australis_
    @Australis_ 2 роки тому +1

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

  • @zurzakne-etra7069
    @zurzakne-etra7069 3 роки тому +1

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

  • @billionaire7781
    @billionaire7781 6 років тому +353

    Way better than khan academy

    • @ArsArcanum
      @ArsArcanum 5 років тому +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 5 років тому +15

      waaaaaaaaaaaaaaaay better..

    • @atp4223
      @atp4223 4 роки тому +1

      khan academy belongs to the trash

    • @rjarcana4747
      @rjarcana4747 4 роки тому +60

      @@atp4223 hey dont talk like that. atleast theyre providing free teaching for :)

    • @e.b.1279
      @e.b.1279 4 роки тому +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!!

  • @djamelhimani8012
    @djamelhimani8012 4 роки тому +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

  • @jacobschmitt7033
    @jacobschmitt7033 3 роки тому +1

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

  • @kalumakalongojnr4346
    @kalumakalongojnr4346 2 роки тому

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

  • @abdulnazary1501
    @abdulnazary1501 6 років тому +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!

  • @asaddtariq
    @asaddtariq 4 роки тому +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

  • @ahmediu9984
    @ahmediu9984 Рік тому +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 ❤️❤️❤️❤️❤️❤️❤️

  • @crazycuban420
    @crazycuban420 5 років тому

    The clarity of your videos is beautiful.

  • @Shaylicious___
    @Shaylicious___ 6 років тому +31

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

  • @centainejoseph337
    @centainejoseph337 5 років тому +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 4 роки тому +19

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

    • @ahmet8266
      @ahmet8266 4 роки тому +6

      @@wrjazziel haha very funny

    • @deedeeworksitout186
      @deedeeworksitout186 4 роки тому +9

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

  • @scr34m_piu
    @scr34m_piu 5 років тому +2

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

  • @aly7514
    @aly7514 2 роки тому +2

    thank you so much for this!

  • @jojo-lj7tc
    @jojo-lj7tc 5 років тому +3

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

  • @NAWAFf15
    @NAWAFf15 6 років тому +4

    انا اشهد بالله انك اسطوره

  • @kailyn3600
    @kailyn3600 5 років тому +1

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

  • @Youtuber-xc8vl
    @Youtuber-xc8vl 2 роки тому +1

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

  • @rohit3265
    @rohit3265 7 років тому +8

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

  • @LongLiveMasculinity
    @LongLiveMasculinity 5 років тому +3

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

  • @IvyANguyen
    @IvyANguyen 6 років тому +1

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

  • @raphaelling0663
    @raphaelling0663 3 роки тому +2

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

  • @hassanabdulla3824
    @hassanabdulla3824 7 років тому +75

    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 .

    • @Vermouth.4869
      @Vermouth.4869 5 років тому

      hassan abdulla yes please

    • @louishennick12
      @louishennick12 5 років тому +5

      Engineering student huh lol

    • @lynns4122
      @lynns4122 4 роки тому +7

      3blue1brown has a pretty cool linear algebra series.

    • @maija6099
      @maija6099 4 роки тому +1

      Metallurgical student huh?

    • @loona8398
      @loona8398 4 роки тому +1

      computer science ?

  • @eray7232
    @eray7232 Рік тому +4

    even x and y get more respect than me

  • @guruprasath8548
    @guruprasath8548 3 роки тому +1

    Really appreciate the effort you took to teach us this.

  • @jasminewashington8076
    @jasminewashington8076 4 роки тому +2

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

  • @flamingstar1604
    @flamingstar1604 5 років тому +7

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

  • @j.padilla309
    @j.padilla309 5 років тому +15

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

    • @hideyoshi4794
      @hideyoshi4794 5 років тому +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 4 роки тому

      Catch The Cougar thank you

    • @darrenvillaroman7736
      @darrenvillaroman7736 3 роки тому

      @@hideyoshi4794 thanks a lot

    • @hideyoshi4794
      @hideyoshi4794 3 роки тому +2

      @@darrenvillaroman7736 im glad that i helped sir

  • @the_kid777
    @the_kid777 8 місяців тому

    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 UA-cam.

  • @CharlesMosesEmeruka-kz9xt
    @CharlesMosesEmeruka-kz9xt 6 місяців тому

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

  • @Golden_348
    @Golden_348 7 років тому +4

    Please show me the mechanism of baking process

  • @catcen9631
    @catcen9631 2 роки тому +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 2 роки тому +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 Рік тому

      @@realndu this comment saved my life thank you

    • @realndu
      @realndu Рік тому

      @@Erik-ed8ml You're welcome!!

  • @haiderrajput4315
    @haiderrajput4315 5 років тому +2

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

  • @BERLINFASHIONFOU
    @BERLINFASHIONFOU 5 років тому +2

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

  • @Pavat__Ke
    @Pavat__Ke 5 років тому +3

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

  • @somalilanderman6429
    @somalilanderman6429 5 років тому +3

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

    • @markcross109
      @markcross109 5 років тому +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 5 років тому

      @@markcross109
      Thanks alot my freind💔

    • @markcross109
      @markcross109 5 років тому +1

      @@somalilanderman6429 welcome my friend.

  • @kaviamedi8079
    @kaviamedi8079 Рік тому +1

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

  • @mrjustin2607
    @mrjustin2607 5 років тому +1

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

  • @eggieeeeeee
    @eggieeeeeee 4 роки тому +9

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

  • @abrarmahi
    @abrarmahi 3 роки тому +6

    where my comp sci students at

  • @tanimhasan6089
    @tanimhasan6089 2 роки тому

    You shouldn't thank us for watching rather we should say thank you for saving us each and everytime!!! You're the best Organic Tutor......

    • @dkke825
      @dkke825 Рік тому

      ua-cam.com/video/Zuh5EiW0o7w/v-deo.html

  • @youshaarif4253
    @youshaarif4253 11 місяців тому

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

  • @yamkelaniking8380
    @yamkelaniking8380 3 роки тому +3

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

  • @miribear3809
    @miribear3809 Рік тому +11

    How many Econ students here?

  • @austinmakachola2516
    @austinmakachola2516 6 років тому +1

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

  • @tedle2948
    @tedle2948 4 місяці тому

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

  • @everchann
    @everchann 11 місяців тому +24

    how many computer science students here?

  • @user-bd4wx7pp9q
    @user-bd4wx7pp9q 4 роки тому +1

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

  • @iharshgarg
    @iharshgarg 3 роки тому +1

    khan academy and this organic chem tutor.. probably the best content u can find on utube.. so stop paying ur tuition teacher and start support him ❤

  • @pog9238
    @pog9238 Рік тому +1

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

  • @NiiAryee
    @NiiAryee 2 роки тому

    Excellent as always, in simple, plain English.

  • @godzillaHaido
    @godzillaHaido 2 роки тому

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

  • @_assulam_
    @_assulam_ 4 роки тому

    Thank you very much...really understandable....i was searching for the same information everywhere but could not find proper one. Fortunately i found you...RESPECTS :-)

  • @houzhead6588
    @houzhead6588 2 роки тому

    This guy is dope; he makes this clear and straightforward

  • @hi77777
    @hi77777 3 місяці тому

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

  • @chisomnwodo2905
    @chisomnwodo2905 4 місяці тому

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

  • @ndereratjijahura2048
    @ndereratjijahura2048 2 роки тому

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

  • @kjolencarlcayapas3913
    @kjolencarlcayapas3913 3 роки тому

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

  • @peerapongwattanthaweesin8304
    @peerapongwattanthaweesin8304 Рік тому +2

    Absolutely helpful, thanks my guy.

  • @war_correspondent
    @war_correspondent 3 роки тому +1

    Thank you very much sir. You are helping me for my calculus test tomorrow

  • @shafaqueiqbal9728
    @shafaqueiqbal9728 8 місяців тому

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

  • @laurencampbell7532
    @laurencampbell7532 6 років тому +2

    Thank you . So easy to follow :)