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Implicit Differentiation 

Professor Dave Explains
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We are pretty good at taking derivatives now, but we usually take derivatives of functions that are in terms of a single variable. What if we have x's and y's in there? We need a new technique! It's called implicit differentiation, and it goes like this.
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21 мар 2018

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Комментарии : 656   
@stephaniemangwiro6301
@stephaniemangwiro6301 6 лет назад
Thank you so much, who knew you could learn more from an 11 minute RU-vid video than a 45 minute lecture
@__lunareclipse
@__lunareclipse 5 лет назад
Pretty Much
@brandonzarate2736
@brandonzarate2736 5 лет назад
Yeah you can learn from an 11 minute video. Although keep in mind, you can also pause the video and re-watch parts that did not make sense the first time around. Also the videos are tailored in the fashion where he's teaching to you directly in front of you. In lecture, you may be sitting far from the professor making it difficult to hear and see. Also, here in the video he just goes over the steps. Sure, there are moments where he explains why some things are the way they are which is helpful but not in the same sense as in the lecture. Lectures from math professors cover more than how to do problems. They cover the reasons why more in depth. I"m sure if student went to their professor's office hours and asked how to do the certain problems, they would similar results to watching this video. Sorry if I appeared to be attacking you. I didn't mean this directly at you and I get the feeling you were just saying it general.
@anishreddyanam8617
@anishreddyanam8617 4 года назад
Dude same
@zuhaib_meo_rajput
@zuhaib_meo_rajput 4 года назад
Thnk you Sir, after getting this video; this time, I am able to do exercise my self. Love U from PakistaN
@deringthomas5363
@deringthomas5363 4 года назад
You guys have lectures?
@RemixerUltimate
@RemixerUltimate 5 лет назад
Multiple days of class and it just wasn't clicking. And it takes one 10 minute video to cement it. Holy hell.
@bennybickerton2149
@bennybickerton2149 3 года назад
Who needs school when big dog Dave is on the job haha
@chocolateylovv8792
@chocolateylovv8792 6 лет назад
ive never understood this concept for almost a year and my exam is tomorrow, the moment i understood i almost cried tears of joy, thank you so much!!!
@jamesmakau4992
@jamesmakau4992 5 лет назад
what a crap
@dewgantuah1815
@dewgantuah1815 5 лет назад
😂
@dewgantuah1815
@dewgantuah1815 5 лет назад
😂
@iknowyoucanhearme6483
@iknowyoucanhearme6483 4 года назад
I can somehow relate to that tears of joy. The feeling where you no longer have to be scared because you already know how to attack the problem.
@pratikshadutta7843
@pratikshadutta7843 3 года назад
I am also watching the video a day before my exam. Tomorrow is my exam 🤧
@MrJuandahero
@MrJuandahero 5 лет назад
I hate to admit it but the color coding the breaking down each step made this crystal clear. Here, have an thumbs up
@frostbitepokin9520
@frostbitepokin9520 3 года назад
I hate to admit but red reminds me of period blood
@E_Rico
@E_Rico 3 года назад
Why would u hate to admit that?
@santi044
@santi044 2 года назад
Why would u hate to admit that
@ivoryas1696
@ivoryas1696 2 года назад
@@E_Rico He probably thinks it would make him seem simpler-minded, possibly not knowing that's how many people study.
@ivoryas1696
@ivoryas1696 2 года назад
@@frostbitepokin9520 Hate to admit it, but that reminds me of period bacon.
@ramithjayasuriya
@ramithjayasuriya 6 лет назад
its 1AM and i'm getting ready to the exam tomorrow. and didnt know a thing about this, but this video made me understand every possible way it could happen. Thank you so much.
@sinioofficialposer4311
@sinioofficialposer4311 6 лет назад
Ramith Jayasuriya we're the same bro, I've got an exam Tomorrow and still don't have an idea how what is in implicit Differentiation, a big thanks to this video tutorial
@ramithjayasuriya
@ramithjayasuriya 6 лет назад
Pabutaya Ando good luck buddy!
@lolamoon7296
@lolamoon7296 5 лет назад
Ramith Jayasuriya *Same here, a high school senior filled with regrets for taking Ap Calculus*
@winner1338
@winner1338 5 лет назад
Did you pass the exam?
@julianjoseph5033
@julianjoseph5033 5 лет назад
Do you mean today since it’s 1AM?
@golembes
@golembes 2 года назад
I am a calculus teacher and I have looked a few videos on this subject. Your video is the first one I have watched that actually does this mathematically correctly. Thank you! If students simply memorize a process and do not understand what is happening, they are going down a dead end street. Your video was very easy to follow and you emphasized quite nicely the concept of "the derivative of something with respect to something else" - a critical concept as we progress through calculus. It is not about getting the right answer it is about getting the right answer by understanding the mathematics. Thank you! I will post your video for my students in addition to my own videos.
@eigentheory
@eigentheory 3 года назад
I have seen this video many, many times and I must say it is hands down the best explanation of implicit differentiation that I have seen. I hope to use this explanation when I am able to teach Calculus one day!
@arrtwo1375
@arrtwo1375 6 лет назад
Got a calc test tomorrow and this is saving my ass. Thanks dude.
@tahmidadib4018
@tahmidadib4018 5 лет назад
Man calc gives me goosebumps
@8DJYash
@8DJYash 3 года назад
How did it go
@evanmastermind
@evanmastermind 5 лет назад
3:30am; test tomorrow. Finally learning this stuff.
@erniemyleskeelerkeeler
@erniemyleskeelerkeeler 2 года назад
You someone give this guy a Nobel prize. I could listen to a lecture all day, come home and learn 5 times as much watching a small video. thank you Professor Dave, Keep up the fantastic work
@undeadman7676
@undeadman7676 4 года назад
I'm currently taking Calculus 1 from home without any video lessons or instructions from my professor because of the current pandemic. This video has gotten me a perfect score on my assignment that is due in 2 days. I understood it well enough to even take it to its second derivative, and that's from a single 12 minute video. I'm excited to go back and work through the proofs for this for a few days once I finish my exam!
@Iucebowel
@Iucebowel 2 года назад
Studying at 1:00 AM, got a math test tomorrow and this helped a lot; Thank you!
@HappyRhino
@HappyRhino Год назад
I'm sure you get an increase in views during finals- and its well-deserved! Thanks for the refresher.
@Justin-ne6rw
@Justin-ne6rw Год назад
mine is next week
@kels8823
@kels8823 Год назад
This was the first video I found that actually explains WHY things are happening with implicit differentiation, specifically, around the 3:00 min mark. It is also the clearest visual representation, much easier to follow than someone hand writing at a whiteboard. Also, you are just low key encouraging, so thanks! I appreciate your efforts!
@635atom
@635atom 8 месяцев назад
I agree. I'm currently taking Calc 1 in college, and my professor never explained why we keep dy/dx. I have no clue why it's apparently so uncommon to teach why this is happening, but I appreciate this guy's videos.
@sondidu
@sondidu Год назад
I'm here because my teacher can't teach
@lekissdarams7195
@lekissdarams7195 2 месяца назад
Same here bro 😭
@x-90
@x-90 2 месяца назад
This stuff is too hard
@NgaxVEVO
@NgaxVEVO 2 месяца назад
Than that is not a teacher
@Islamaroma1919
@Islamaroma1919 Месяц назад
Me too
@jackyboyvods7852
@jackyboyvods7852 Месяц назад
same
@woopwoop2601
@woopwoop2601 2 года назад
I just came across this for the first time, having somehow missed it in my previous university modules, and I swear that you're the only person who managed to make this seem like the simple concept that it is. I came across Khan Academy's explanation first, and they made such a song and dance of it I was lost within 5 minutes xd
@treymtz
@treymtz 5 лет назад
I've taken cal like 2 times now. This is the one video that made implicit differentiation understandable.
@connerbills7892
@connerbills7892 3 года назад
Dave could probably teach me to perform brain surgery in an afternoon. This man is goated.
@cheskaoliveros8227
@cheskaoliveros8227 5 лет назад
This is the only tutorial video I'd really appreciate.. Now I understand the implicit differentiation very well.
@7betty
@7betty 3 года назад
No one can teach like this in the whole youtube community you are the best professor the world had ever seen
@johnahmirlawas7854
@johnahmirlawas7854 Год назад
If teachers and instructors would teach like this then contents like these on yt will never would have been existed. So props to them for making yt math video tutorials so great.
@slek_cs
@slek_cs 6 месяцев назад
Not gonna lie, I need to pay more respect to X 😂
@artemis_719
@artemis_719 4 месяца назад
holy cow i literally cannot thank you enough. Didn't take me until watching this that i understood and just got a perfect score over the quiz I took today on this concept. You explain it literally perfectly. Thank you 😭
@icecube250
@icecube250 Год назад
I am a 9th grader and I want to be a scientist. I decided to learn calculus and I spent 5 whole hours trying to understand this thing. Thanks to this video I can understand implicit differentiation. I am studying quantum mechanics and relativity and I am working on a theory of my own with my friend. I absolutely love your videos and they help me so much. I owe you respect.
@sucool9300
@sucool9300 Год назад
god damn
@thedevourerofgods1686
@thedevourerofgods1686 Год назад
9th grade (last year at the time of writing), coincidentally, was when I decided to start doing math/science above my grade level, it's very satisfying. I've used the knowledge I've gained to do all sorts of things, like making fictional concepts using what I know, help other people learn it, and mess with concepts to see what happens. I especially love using knowledge of science to explain why things like superpowers don't work properly. I know you probably don't plan on it, but you shouldn't quit learning science and math if it interests you, it's very satisfying to know the ins and outs of how certain things work. Always cool to see someone who loves to learn stuff
@icecube250
@icecube250 Год назад
@@thedevourerofgods1686 Dude i wanna be a scientist. Why won't I ever quit science and math. They are the most beautiful things in the universe
@thedevourerofgods1686
@thedevourerofgods1686 Год назад
@@icecube250 based opinion
@EmpyreanLightASMR
@EmpyreanLightASMR 2 месяца назад
@@icecube250 There's someone essentially your age in my calc 3 course, and they're the greatest person ever. Super smart and also a lot of fun to talk to. Hope your studies are going well!
@WarriorX16
@WarriorX16 5 лет назад
We are doing partial derivatives in Calc 3 and had to do implicit differentiation as well. This definitely helped refresh my memory, thank you.
@hoshicakes3
@hoshicakes3 Год назад
I've watched so many videos about this topic but this is the only one that made sense to me. Hats off to you sir, you got my eternal appreciation
@maryscott5030
@maryscott5030 3 года назад
Hands down best help I've gotten in Calc all year
@margot9303
@margot9303 5 лет назад
Words cant express my gratitude for Professor Dave.....
@Shineyourlightwithglory
@Shineyourlightwithglory 10 месяцев назад
This video is explicit, 5 years ago,yet it is still building strong minds. Well done Prof. Dave❤
@mhonthungovung7122
@mhonthungovung7122 3 года назад
Very clear voice and can easily understandable, thank you so much for giving such a wonderful and easy examples..
@andriskirsis8401
@andriskirsis8401 5 лет назад
Professor should have just shown this video in class. Thanks. I haven't understood this at all until watching the video.
@sleepyitgirl
@sleepyitgirl 6 лет назад
Thanks for your clear and short explanation! Appreciate for it!
@neutro1538
@neutro1538 3 года назад
Thank you soooo much, I've been trying to wrap my head around this topic for ages, thinking of y like a function of x was a godsend, thank you sir :)
@asmaakhan2648
@asmaakhan2648 6 лет назад
Thank you so much, Professor. It was very clear and helpful.
@lindaslele6561
@lindaslele6561 6 лет назад
You explains best..we like it great explanation...
@felixkuadugah9108
@felixkuadugah9108 5 лет назад
Yup
@ifonlytherewasmoretime187
@ifonlytherewasmoretime187 5 лет назад
Your video came in clutch for my math final, thanks so much you're better than my teacher by far lol!
@rzjnbtg1546
@rzjnbtg1546 3 года назад
my teacher taught us the first part and usually i wouldnt get any part of it but your vid hits me very easily after 4 minutes and i was able to solve it independently
@TheNamesFathom
@TheNamesFathom 2 месяца назад
I've been watching your channel for the debunks for months now, never thought I'd be using it for the calc explanations too!
@lethilethuy3891
@lethilethuy3891 4 года назад
this is the best explanation on youtube thank you
@petermorgan5645
@petermorgan5645 4 месяца назад
Outstanding video. Cleared up all my issues with the topic in one go. Thanks!
@s3n1ch
@s3n1ch 4 года назад
Thank you man! I have understood much better than from my analysis teacher from Universitatea Politehnica Bucuresti, Romania! :)
@pauldalnoky6055
@pauldalnoky6055 8 месяцев назад
I've seen a dozen videos on implicit differentiation. This is the best.
@yaboiidave2255
@yaboiidave2255 2 года назад
saving my grade once again with an clear explanation and great examples, thanks again Prof!
@MrHavoc313
@MrHavoc313 5 лет назад
Thank you for making this video, so much clearer now
@celinewest1250
@celinewest1250 5 лет назад
Incredibly helpful, thank you!!
@thapelomarakalala6989
@thapelomarakalala6989 5 лет назад
you have made this topic pretty easy for me. thanks a lot professor Dave.
@mehakmalik31
@mehakmalik31 5 лет назад
You made it so easy... Thanks a lot
@Reachnopreach
@Reachnopreach 10 месяцев назад
Hey Dave, I was kinda struggling wrapping my noodle around this one, but you explained it really well. Kudos!
@jxrr.
@jxrr. 5 лет назад
Never understood this topic but thanks to u, i know how to do it now
@ankitdhaka
@ankitdhaka 6 месяцев назад
Thanks!
@VylaNwale
@VylaNwale 6 лет назад
I love you professor Dave❣️
@niturampuria9019
@niturampuria9019 3 года назад
Couldn't thank you more! Brilliant explanation
@manikdas1429
@manikdas1429 6 лет назад
Thanks i just needed this
@krishaashvsingh6811
@krishaashvsingh6811 2 года назад
Thank you so much for clearing this heavy concept in just 11 minutes
@captain_squiddy
@captain_squiddy 6 лет назад
This was really helpful thank you!
@nullFoo
@nullFoo 2 месяца назад
This explained it SO much better than my textbook, thank you!
@evansonndungu6054
@evansonndungu6054 4 года назад
For business students, your lecture ends at 8:44
@PokeShadow77
@PokeShadow77 3 года назад
Gah you lucky business majors!!!
@UzsDc1UZ
@UzsDc1UZ 4 года назад
Such a perfect method of teaching. Good job
@insert6190
@insert6190 4 года назад
This video really helped me out with the more complex ones thanks
@trinhham328
@trinhham328 3 года назад
Finally able to understand this... Thank you so much, clear and so helpful.
@Luingus
@Luingus 3 года назад
thank you! im teaching myself calculus and you helped my grasp this topic after struggling for days!
@defytyrantsofmississippi2198
@defytyrantsofmississippi2198 2 года назад
That’s awesome! I’m teaching myself calculus as well.
@yellow-is-my-jam8D
@yellow-is-my-jam8D Год назад
Thanks a bunch Prof. Dave! Your videos are really helpful for students like me, keep it up!
@haydens6669
@haydens6669 5 лет назад
You just helped me to understand this way better. Thank you.
@NoName-ot8kl
@NoName-ot8kl 5 лет назад
That was so clear; thank you so much.
@minatlasanimaisha3816
@minatlasanimaisha3816 Год назад
I was so worried bcz I couldn't find the type that our professor taught. But thanks a lot you uploaded a video exactly same style that our professor taught, all of my confusions are gone now. A bunch of thanks. If I could like this video a million times, I would do that.
@alisageyl
@alisageyl 5 лет назад
thank you so much!! as a gratitude, i will never skip any ads on your videos. please continue uploading videos it really helps us!
@ProfessorDaveExplains
@ProfessorDaveExplains 5 лет назад
I'll never stop! Oh and if you feel like clicking an ad, even better, that's how I get paid :)
@alisageyl
@alisageyl 5 лет назад
@@ProfessorDaveExplains im a civil engineering student and your channel really helps me understand the fundamentals. okayy i will click your ads if that helps!
@fireflies15
@fireflies15 5 лет назад
this is an incredible explanation. thank you very much
@yuannie269
@yuannie269 4 года назад
im gonna subscribe because this channel will be my survivor for college
@Re-nq2uh
@Re-nq2uh 2 года назад
Thank you so much! I'm a 12th grade student who studies alone without the help of any teacher, i cannot thank you enough for it. You and other great youtubers are helping me a lot with my studying i really appreciate you
@puddleduck1405
@puddleduck1405 2 года назад
good luckkk!!
@Re-nq2uh
@Re-nq2uh 2 года назад
@@puddleduck1405 thank youu
@sofieooms8990
@sofieooms8990 5 лет назад
wow this was really good, thank you
@maxchan105
@maxchan105 3 года назад
Very detailed and clear explanation with no steps skipped. Helped me to understand a lot! *Silencely curse my teacher which skips all the steps when he is explaining this theory - confuse me
@MohamedRabe33
@MohamedRabe33 2 года назад
Thank you I have learned a lot from you ,from Egypt 🇪🇬
@hwillis7570
@hwillis7570 2 года назад
Thanks, nice work and clear explanations.
@MPC1055
@MPC1055 3 года назад
Nicely done! Great explanation!
@kumudchaprana5900
@kumudchaprana5900 6 лет назад
Thank u so much ... I needed this
@user-kz4lk1lx9d
@user-kz4lk1lx9d 6 лет назад
thank you for your explanations
@freedomofmusic2112
@freedomofmusic2112 2 года назад
Thank you Dave! This was very helpful 🙂
@Since-dy4rt
@Since-dy4rt Месяц назад
Thank you soooo much for making this video!! Class lecture and other RU-vid videos did not make sense to me but now I finally get it I could cry lol
@JiggyWasTaken
@JiggyWasTaken 8 месяцев назад
You are such a life saver Dave, thank you.
@whoopietv9678
@whoopietv9678 6 лет назад
Thank you very much professor dave.😁
@helenabaker5275
@helenabaker5275 3 года назад
thank you so much!!! this video was amazing and i feel so much better about implicit differentiation! you are the best!!!! :)
@CreativeWorkersBest
@CreativeWorkersBest 5 лет назад
Really good job. Thank you bro.
@shanidahan4113
@shanidahan4113 5 лет назад
I finally got it! Thank you so much you know how to explain best
@beans7285
@beans7285 5 лет назад
I did not expect it to be the product rule. After understanding that, it became much easier. Thanks m8
@domdubz7037
@domdubz7037 4 года назад
I appreciate the content and think you do a good job presenting the material. However, I’d really appreciate much more complex rigorous examples using multiple derivative rules in one problem.
@user-yi3zh5pj2s
@user-yi3zh5pj2s 3 месяца назад
Best ever explanation for implicit differentiation!!
@jacobshoup
@jacobshoup 4 года назад
Professor Dave once again saves my ass just in time for my test
@michelleng1207
@michelleng1207 9 месяцев назад
Really good and simple explanation! Thank you :)
@hikirj
@hikirj Год назад
Thank you Professor Dave!!
@ishantkatal5538
@ishantkatal5538 6 лет назад
Thanks for a such a trick ... I m ready for give a exam tomorrow
@user-iq9pe4ls2j
@user-iq9pe4ls2j 6 лет назад
this helped tremendously. thanks!
@sh1vaansh1
@sh1vaansh1 4 года назад
this made it so easy! thank you!
@heheboiii6285
@heheboiii6285 4 года назад
So helpful to understand and interesting to know Thanks prof.
@rapro9037
@rapro9037 2 года назад
Thanks a lot. I never got this until I watched your lecture😀
@08patboy
@08patboy 3 года назад
ty you've explained it much better than my lecturer
@user-hj1fk4mh7d
@user-hj1fk4mh7d 4 года назад
it’s 💯 true. Prof Dave is an infinite times better than my prof such that my prof will never reach prof dave’s level of teaching.
@tahmidadib4018
@tahmidadib4018 5 лет назад
Everybody wear a headphone before starting the video...Every single words said by the professor is valuable Mora than a diamond !!!!
@anorak_2902
@anorak_2902 4 месяца назад
Ok this video was actually incredible you allowed me a 10th grade algebra 2 student with some basic knowledge of derivatives actually understand implicit differentiation.
@MRAXELGRINDER
@MRAXELGRINDER 5 лет назад
Really great video!!!! Thank you so much for the help. Definitely recommend this to anyone who wishes to understand this topic.
@Chris-ur3sj
@Chris-ur3sj 5 лет назад
Thank you for this video!
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