Calculus 1 Lecture 2.7: Implicit Differentiation

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  • Опубліковано 14 січ 2014
  • Calculus 1 Lecture 2.7: Implicit Differentiation

КОМЕНТАРІ • 421

  • @JustinMarshallMabry
    @JustinMarshallMabry 8 років тому +1669

    Weird, a Cal teacher who doesn't act like his students should already know the material

    • @ryanx8749
      @ryanx8749 7 років тому +35

      soooo true =_="

    • @ashleytho
      @ashleytho 7 років тому +37

      FUCKING TRUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU

    • @austindiodene972
      @austindiodene972 7 років тому +41

      this may be the most spot on comment

    • @kallmekrissarchivetiktoks8012
      @kallmekrissarchivetiktoks8012 6 років тому +12

      Justin Mabry this comment is painfully PAINFULLY TRUE!!!!!!!!!

    • @retiredhater
      @retiredhater 5 років тому +4

      That's the reason that I'm here in the first place!!!!

  • @monsterguy111
    @monsterguy111 8 років тому +598

    Professors should watch you so they can learn how to teach.

    • @Acampandoconfrikis
      @Acampandoconfrikis 8 років тому +52

      +monsterguy111 and how to lift

    • @Ireemo1
      @Ireemo1 8 років тому +15

      +MrSoultaker432 and be aware of the fact beauty and brains exist

    • @dhf335434
      @dhf335434 6 років тому +6

      and be funny at times !

    • @shreyasingh8498
      @shreyasingh8498 5 років тому +3

      But my teachers will start saying that he is foolish but acc. to me he is the best.

    • @Peter_1986
      @Peter_1986 4 роки тому +6

      @@dhf335434
      Haha yeah, it's really frustrating how a lot of math teachers are so goddamn dry and serious. All that grave super-stiff seriousness drives me crazy, so it's hugely refreshing that Professor Leonard has a much more relaxed and charming personality.

  • @kingmang12
    @kingmang12 9 років тому +246

    THE BEST PROFESSOR?? anyone agrees with me?

    • @cynhol8
      @cynhol8 8 років тому +5

      Aung Lin Hands down the best. He breaks it down into clear understandable English.

  • @dylanreen6149
    @dylanreen6149 7 років тому +267

    idk what they are paying him, but professor swole needs a raise!!

    • @nicocapa123
      @nicocapa123 5 років тому +21

      Whatever it is, it's not enough.

    • @RupturE612PGR
      @RupturE612PGR 4 роки тому +10

      Pretty sure he gets donations that are well deserved.

  • @lvbearboy
    @lvbearboy 8 років тому +332

    Every Professor should observe how this man teaches. THIS is what it is all about, clear, concise with the ability to convey EXACTLY what he is trying to get into the students head. Thank you professor Leonard from Las Vegas!
    Tim

    • @Peter_1986
      @Peter_1986 Рік тому +7

      Some people seem to think that detailed explanations are some sort of "for dummies" approach;
      I have always hated that description, because it seems to imply that it is only people with major learning difficulties in the subject (who I guess are the supposed "dummies") who desire clear and detailed explanations.
      But that is how things SHOULD be taught;
      if people are new at something, then they WANT hand-holding.

    • @user-si6ey2gq4t
      @user-si6ey2gq4t Рік тому +2

      I am from Malaysia! this teacher is very good !!!

    • @sd2go
      @sd2go 11 місяців тому +1

      if i had him in 1985 for calculus, i wouldn't have failed the first time i took it

  • @nicholassanchez2326
    @nicholassanchez2326 7 років тому +157

    I'm convinced if all my professors were this good at their job I would be a genius in every subject

    • @luis-vv3lw
      @luis-vv3lw 3 роки тому +7

      no. it's not that easy. If the professor was as good as Mr. superteacher here then you would have an easier time understanding the subject, but applying the knowledge would be a bit more difficult.

    • @CaptainZhariff
      @CaptainZhariff 2 роки тому +5

      @@luis-vv3lw yeah agree on that one, it would definitely make the process of understanding much easier but to actually use it, it's all on us to go through trial and errors when doing practice questions

  • @kennedylove2433
    @kennedylove2433 4 місяці тому +8

    Just got a 95% on my first calculus exam at UT Austin! The class average was a 65% and your videos are the reason I did so well. Sincerely, Professor Leonard, thank you so much. You’re the best of the best.

  • @odalysh23
    @odalysh23 2 роки тому +61

    15 minutes into the video and I am like so that's how you do it. 5 weeks into the semester and did not understand anything until now. He is the difference between doing what you love vs doing it for a paycheck. He has passion and patience and that makes him one of a kind. you don't come across Professors like this often. Thank you Professor L.

  • @iamjustinburke
    @iamjustinburke 9 років тому +145

    Life saver! Man i wish you were my teacher hah

  • @Domesticpandah
    @Domesticpandah 11 місяців тому +12

    I know these videos are almost 10 years old at this point, But professor you really are incredible. I didn't have the strongest mathematics background knowledge but you have made everything so clear and easy to follow with some practice. You deserve all the good karma in the world.

  • @nomuscleasianman
    @nomuscleasianman 9 років тому +161

    Professor Leonard puts many math instructors to shame

    • @mjohnson510
      @mjohnson510 9 років тому +7

      So fucking true bro! Im taking cal 1 and cal 2 at the sametime in college and hes better than both

    • @SmileyGuy3
      @SmileyGuy3 9 років тому +7

      mjohnson510 I don't know how you got away with taking Cal 1 and Cal 2 at same time.

    • @Darkenedbyshadows
      @Darkenedbyshadows 9 років тому +2

      Dancing Robot ikr? u kinda need one to do the other.... my bullshit meter is going off....

    • @mjohnson510
      @mjohnson510 9 років тому

      Darkenedbyshadows I'm not lying about that. It's very easy to do both or get approved. I got approved by a counselor and got approved by the head of my college math department at my local community college.

    • @Darkenedbyshadows
      @Darkenedbyshadows 9 років тому +1

      mjohnson510
      If you are able to do Calc 2, why bother going through Calc 1? Unless you are attempting to better your marks from Calc 1.

  • @TheRbaezJr
    @TheRbaezJr 9 років тому +53

    You are now my online math Professor.

  • @scrainbow1234
    @scrainbow1234 5 років тому +49

    i literally WANT to watch the next videos and i actually look forward to making my way through his playlists...this is something i have never before encountered regarding math in my life until professor leonard

    • @ElvenStone
      @ElvenStone 9 місяців тому

      Same! His enthusiasm and clear explanations are everything. Complete opposite to my current Cal professor 😵‍💫

  • @linvalmuzvidziwa1441
    @linvalmuzvidziwa1441 7 років тому +66

    thank you very much Professor Leonard....this channel is really helping me ace my math classes. Ever since i started watching the videos I became the math guru in my class and I top my class every test and exercise

  • @jrpg0630
    @jrpg0630 9 років тому +35

    This just shows that taking your time in teaching improves the students' understanding tremendously. Unlike most professors in college. Thank you.

  • @taylormoss6021
    @taylormoss6021 4 роки тому +18

    I’ve used his videos all throughout college, and finally graduating in May 😂Thanks professor Leonard!

  • @aliabrahimi3711
    @aliabrahimi3711 10 років тому +72

    Once upon a time people left their homes and traveled thousands of miles to find the best school and the best teacher. Now .....

    • @hurrdurr25
      @hurrdurr25 9 років тому +1

      It's like the Issac Asimov short story, "The Fun they Had"

  • @Chelsea2009FC
    @Chelsea2009FC 8 років тому +120

    You should do a video on how to lift.

    • @tylerstanton494
      @tylerstanton494 4 роки тому +3

      For real though. PL inspired me to get in shape

    • @ThatGuy-pp1pe
      @ThatGuy-pp1pe 4 роки тому +6

      was going to like this comment but it was at 69 likes

  • @OgonoArtFamily
    @OgonoArtFamily 8 років тому +253

    Math Professors Hate HIm.

  • @thevargasj1
    @thevargasj1 Рік тому +4

    This teacher connect with the students, and he explain everything so clear, Im retired and just never understand in my college years what really was doing and passed calculus like a robot, thanks Leonard.

  • @felipemagdaleno7959
    @felipemagdaleno7959 4 роки тому +10

    Coronavirus made my calc class go online and it been harder for me too learn so its nice that I can come here and watch the actual lecture.

  • @bowlofmilk222
    @bowlofmilk222 5 років тому +5

    THIS MAN WAS BORN TO TEACH. HE EXPLAINS THIS BETTER THAN ANYONE EVER COULD

  • @Aadesh461
    @Aadesh461 Рік тому +3

    The way you teach is near perfect! the ability to clearly and concisely teach the material and allow complex rules/steps/material to tie in all while making sure your students COMPREHEND is very profficient, damn near excellent. Thanks Professor Leonard! I passed my first test and midterm because of you!!!!!!!! I appreciate you

  • @GoatzAreEpic
    @GoatzAreEpic Рік тому +11

    This guy did a pushup everytime he solved a math problem

  • @Corypro21
    @Corypro21 8 років тому +8

    Just Started differential equations this week, been about 4 years since I took calc 1. You are a life saver thank you professor!

  • @travia525
    @travia525 8 років тому +3

    trying to teach myself this stuff and I got stuck on this. A lot of other books/videos really breeze through this without an intuitive explanation. I feel a million times more confident now, thanks so much for the videos!

  • @jonathonbelot551
    @jonathonbelot551 9 років тому +7

    I got and A in my math test!!!! Thank you Professor Leonard, you've helped me improve my grades!!!

  • @moviesrecapofficial
    @moviesrecapofficial 7 років тому +2

    Thank you Professor! You're amazing. I found myself relaxed, satiated and drenched in gratitude by the end of the lecture.

  • @Maya-xs9xn
    @Maya-xs9xn 2 роки тому +1

    Great teacher, I'm so fortunate to have encountered his videos, Professor Leonard's tutorials are the best and I tip my hat. He's been my online instructor in Calculus I and will remain so until I get to Differential Equations. He's the best of the best.

  • @kungfukenny
    @kungfukenny 7 років тому +14

    30:30 ... we've been doing it this whole time... mind blown. Thanks Professor Leonard, I go to a huge university and it's nice to have a teacher teach a small class. You answer the questions I have without me asking them.

  • @joannab2292
    @joannab2292 6 років тому +4

    Thank you. I always understood the rule of "take dy/dx whenever you see y" but I didn't know the reason for it. As everyone else has said your video series is so helpful!

  • @arusha6
    @arusha6 9 років тому +56

    He is sent from heaven 🙌

    • @SmileyGuy3
      @SmileyGuy3 9 років тому +4

      Arusha Braithwaite I am very envious of Merced college calculus students for having such an amazing instructor. I wonder if they realize and appreciate it themselves. I would have taken all of his classes if he taught at my college.

    • @masterofmath449
      @masterofmath449 8 років тому +2

      +Dancing Robot I like his teaching skills but I still wouldn't attend his college reason why is when I google the college it said it was a community college.

    • @belldanime
      @belldanime 6 років тому +3

      Master of Math You go to community college to get your gen eds at a decent price, then transfer to your uni of choice. Duh.

    • @jackjersawitz3937
      @jackjersawitz3937 4 роки тому

      @@belldanime that wasnt what he/she was saying you ape

  • @barryhughes9764
    @barryhughes9764 6 років тому +3

    Knowing what you teach and teaching what you know are as different as chalk and cheese. Well done sir for belonging to the latter definition, you truly are inspirational. Many thanks for all the help you give those like myself who struggle with some mathematical concepts.

  • @mprengineering4612
    @mprengineering4612 5 років тому

    This is my second time taking a calculus 1 course and so far you have helped me far better than my actual professor here in school. Thank you.

  • @michaeldominguezjr7503
    @michaeldominguezjr7503 Рік тому +1

    You have saved my @$$! Just listening to you teach the chain rule made everything come together within the first 10 minutes. I worked on all the problems you presented before seeing the solutions and got them all correct! My teacher explains it like we've already taken calculus and should know what she's saying, it's so confusing just listening to her.. She leaves out so many parts that you take the time to teach. I have resorted to your videos first so I know what I'm doing then I go to my teachers videos to see what she's "trying" to teach. Thanks so much Professor Leonard! Keep up the awesome work!!

  • @nikistewart2012
    @nikistewart2012 2 роки тому +1

    You have no idea how much this video saved my life. :) Thank you! You are a great teacher!

  • @TheGlutenFreeArchitect
    @TheGlutenFreeArchitect 8 років тому +1

    I am so glad i came across your youtube channel! I never thought Calculus could be such a walk in the park :) A+, here I come!!!

  • @michaelwaskiewicz1
    @michaelwaskiewicz1 5 років тому +1

    My calculus professor(state university) just spent about 3 minutes explaining this, which is to say he did one example and moved on to derivatives of inverse trig functions. I don't know what I would do if I couldn't watch these after my actual class lectures. I'm an engineering student and I actually want to understand this material, not just pass the class. You are amazing, professor Leonard. I can't thank you enough.

  • @the_aalian7448
    @the_aalian7448 4 роки тому +1

    i seriously hate mathematics but studying calculus right now, i forgot to watch your videos to keep up with my course and boy do i want to close tabs of those tutorials and watch this 1 hour long lecture. This is how great this man is

  • @redfinance3403
    @redfinance3403 3 роки тому +1

    This is a fabulous explanation. I was stuck on how this worked even half way through calculus 2, but I found the answer!

  • @gursharansingh2212
    @gursharansingh2212 3 роки тому +2

    Thank you very much Leonard, I am struggling with Calc 1 with college virtually, but your an amazing help : )

  • @juandissimomagnifico7819
    @juandissimomagnifico7819 4 роки тому +21

    he really be lifting my gpa more than those weights tho

  • @mohibnissari9885
    @mohibnissari9885 Рік тому +2

    you nailed it professor.
    i dont think so any teacher or any channel explained this much detailed.
    thank you

  • @veronicasester4136
    @veronicasester4136 5 років тому

    I truly learn so much from all your videos. Thank you for uploading them, I hope you keep uploading them.

  • @Emmssa
    @Emmssa 7 років тому

    Thank you so much for taking the time to lecture this course and upload it here. Very very straight forward and clear explanation. Helped me so much with my math class!!!!

  • @aaroncroft7514
    @aaroncroft7514 4 роки тому +1

    Holy shit man you are the superhero of math professors man! Thank you sooooo much!!!! Never have I ever wanted to watch calc videos.

  • @lostmineseu
    @lostmineseu 8 років тому +8

    why did I find this 2 days before my calculus exam? ;( ;( Very well done, thank you Prof. Leonard

  • @Tio_Sam00
    @Tio_Sam00 Рік тому

    Taking Calc 1 in 2023... and this video helped me understand better than what they give you in the books or examples through the Mathlab stuff... Thanks, Professor Leonard

  • @zeyism3981
    @zeyism3981 5 років тому

    You are the BEST math teacher I ever had !!!!
    Thank you Prof.

  • @jermainewells8506
    @jermainewells8506 3 роки тому

    I can't believe how helpful this is. My professor knows the material, he just doesn't care about his delivery. Every calculus professor should watch his videos to learn how to actually teach!

  • @subbulakshmi7325
    @subbulakshmi7325 6 років тому +2

    Best ever Math teacher!!!!! I wish you were my professor.

  • @deepaks.m.6709
    @deepaks.m.6709 5 років тому +6

    Professor Leonard + 3blue1brown = Knowledge + Wisdom = :D

  • @user-bc1ot2es8w
    @user-bc1ot2es8w 8 років тому +3

    Your lectures are extremely helpful!! Thanks for uploading!

  • @user-rr3rq4kx8n
    @user-rr3rq4kx8n 4 роки тому +1

    I have class more than 3 hours and I don't understand nothing but with you I feel like a teacher of calculus

  • @liley54
    @liley54 8 років тому +31

    I would never EVER miss his class unless I died... he's understandable AND smokin' HOT

  • @User-fm3tv
    @User-fm3tv 6 років тому

    This man is the plug when it comes to calc. no further comments needed.

  • @Bentleysmomma1909
    @Bentleysmomma1909 7 років тому +1

    HOLY "CRAD", you're the best! THANK YOU SO SO MUCH FOR YOUR VIDEOS!

  • @shafinamin7517
    @shafinamin7517 8 років тому +75

    Omg you are so swole. Could you teach me how to get really muscular.... Also I need help with calc.

  • @feoleb
    @feoleb 9 років тому +1

    Thanks professor, you're the reason I'm passing my class.

  • @cutefamily1472
    @cutefamily1472 3 роки тому

    This guy is seriously gifted, some how I can finally understand calculus.

  • @Michelle-xx5ye
    @Michelle-xx5ye 5 років тому

    I never would have thought that I'll willing watch a hour long Calculus lecture fulling. But thank you

  • @WDnation9
    @WDnation9 2 роки тому

    Thank you for your videos! I am paying $600 for an online calc course from an accredited university where the teacher doesn't even post lectures, we are supposed to read the material and self teach a subject like this. You are the man

  • @SudarshanSrinivasan-xb2rj
    @SudarshanSrinivasan-xb2rj 3 місяці тому

    You're actually so goated bro, understood everything w one video.

  • @killiansgame5534
    @killiansgame5534 3 роки тому +1

    i recommended your channel to my calc professors, told them they could learn a thing or two

  • @3rdDegree_
    @3rdDegree_ 6 місяців тому

    This is great, I'm self studying using "A First Course in Calculus" by Serge Lang and was having trouble seeing the implicit differentiation taking place, this video finally gave me that "ah ha" moment

  • @elmanahmed6117
    @elmanahmed6117 8 років тому

    This professor is really the cream of the crop. You can't expect better than this.

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    @uzdefrederic1055 Рік тому +1

    What I really admire is how calculations are well organized....if only my math teachers (in the past) could insisted on that ....

  • @emily-gw8th
    @emily-gw8th 2 роки тому

    life saver. still watching in 2021! helped so much, God bless

  • @naifdayil8165
    @naifdayil8165 3 роки тому

    I'm taking Differential equation and he said that we should see this lecture before we continue,
    best teacher ever!

  • @jonahhunter7716
    @jonahhunter7716 3 роки тому +1

    My Calculus teacher expects our class to learn based off of a PowerPoint per chapter, and 2 minute video clips given by the math book. This has been a huge help thanks! And he doesn't go over the PowerPoint, he just does problems in class ;(

  • @uknown3151
    @uknown3151 Рік тому +1

    I appreciate your way of teaching sir, highly recommend for my calculus professor

  • @whatthehell359
    @whatthehell359 7 років тому

    Thank you, you really helped me a lot. please keep making videos like these and ignore unnecessary comments.

  • @ayubananmwavongjen1607
    @ayubananmwavongjen1607 3 роки тому

    Professor Leonard your teaching is great. I love it

  • @aliciamorris5054
    @aliciamorris5054 5 років тому +1

    Thank you so much Professor Leonard. You're my hero:)

  • @neurodivergent_queen
    @neurodivergent_queen 2 роки тому

    You're helping me so much with my calc 1 class! Thank you so much!

  • @celineharb6787
    @celineharb6787 Рік тому

    You are such an amazing teacher, I am so grateful for this video, Thank you!

  • @kingrenny
    @kingrenny 3 роки тому

    The most satisfying feeling when I pause the time video and did the last problem fast-forwarded the video and got the answer correct! My goodness, someone nominate this guy for a Noble Peace Prize

  • @kellanjones9413
    @kellanjones9413 7 років тому

    Thank you so much for this video. I missed this lecture in my calc class yesterday and was super lost today when they were talking about it today

  • @anamikajha7210
    @anamikajha7210 Рік тому +2

    PROF. LEONARD please I can't wait for a comeback video on your channel, I am waiting ever since I completed those polar coordinates and the whole playlist in under a month, and still. Your board in precalculus always featured " May the MA be with you" and it did with me so am here with your blockbusters ( but still craving for you to look at me in your upcoming super awesome calc. series). I am here to learn stuffs and am finding it better to be more helpful than the millions of pennies that would have gone away, if only god never allowed me to find you. Thanks to Jesus from your side and Thanks to Krishna from mine.
    am a 10th grader, and so my parents don't allow me to go on more than youtube , so I never found you elsewhere.
    Congrats for your new house and godspeed for the upcoming adventures we'll face together in maths.
    please, please let me digest your absence, thru u replying on at least the first line......
    I'LL BE WAITING

  • @Marsboy99
    @Marsboy99 7 років тому +5

    I'm pretty sure my calculus teacher uses these videos as lessons guides lol. Thanks for the help, way better explanations

  • @aneeshussain6200
    @aneeshussain6200 3 роки тому +1

    Loving the way you teach

  • @marklyles3335
    @marklyles3335 8 років тому

    The chain rule. Yes. Got it. You go into the ZEN of it. Beautiful Job.

  • @shambrimurphy7831
    @shambrimurphy7831 4 місяці тому +2

    My teacher threw the book at us and has no lectures or lessons so thank you for these videos it’s saving us

  • @ayanamiimthebaddest5595
    @ayanamiimthebaddest5595 8 років тому

    Superman professor! :DD Thanks! the last question really save my life!

  • @user-vm9xd7yx6p
    @user-vm9xd7yx6p 6 місяців тому +1

    16:08
    What you do on one side, you must do on the other side:
    Typically you get an equation like y = 3x^2 +4 and you would take the derivative of the right hand side of the equation ** dy/dx[3x^2 +4]. However, if I understand this correctly, its really set up as:
    d/dx[y] = dy/dx[3x^2 +4]
    And so the key piece of information is hidden in there; that d/dx[y] = dy/dx

  • @KingTavi
    @KingTavi 3 роки тому +1

    His teaching is so calm and relaxing

  • @dakazoos
    @dakazoos 5 років тому +3

    12:10 - 12:15 that faint "HA" after Prof. Leonards joke, idk why but it made me crack up. BTW thank you for these videos!

  • @tornikekikacheishvili7318
    @tornikekikacheishvili7318 Рік тому +1

    You have to see the last equation in the graph function calculator with the slope at (2,1), it`s really nice

  • @kellenfortier9195
    @kellenfortier9195 9 років тому

    Excellent Clarity! Thanks!

  • @krsna_gwda
    @krsna_gwda Рік тому

    All these months I though I was a dumb kid who wasn't fit for doing math or calculus for that matter, it really was this easy...thanks prof!

  • @kittycat1768
    @kittycat1768 8 років тому

    One of my biggest inspirations right here

  • @erickah5174
    @erickah5174 8 років тому +24

    For Halloween, you should dress like a "Lifesaver" ;-)

  • @Katabatic44
    @Katabatic44 9 років тому

    Great videos man! My prof is an old guy who writes in cursive and has terrible handwriting. You've helped me so much.

    • @Brownkevin7
      @Brownkevin7 9 років тому

      Are you talking about talman

  • @samuelpavia6852
    @samuelpavia6852 7 років тому +15

    wow, i didn't know clark kent was a math wiz

  • @tatyldm908
    @tatyldm908 9 років тому

    Thank you for making and posting this videos !!!

  • @naziajasmeen4203
    @naziajasmeen4203 7 років тому

    You are the best math teacher in the whole universe! 😍😍

  • @jujum4851
    @jujum4851 3 роки тому

    My calculus guardian Angel from above thanks a million

  • @user-zp4qn8ph2r
    @user-zp4qn8ph2r 3 роки тому

    Thank you so much for your lectures professor!

  • @iphonedeveloper321
    @iphonedeveloper321 8 років тому

    awsome sir your work is great you helped me pass on my test

  • @rajaeelkiati8080
    @rajaeelkiati8080 4 роки тому +1

    The best teacher on earth ❤️