dy/dx னா இவ்வளவு தானா? | Basics of Calculus | LMES

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[@baviikrshn]

Listen pannave evlo nalla iruku!❤️ Ipdi lam theliva endha school la solli kudukranunga 🤦

[@anbubm8518]

Yes

[@keerthigachandramohan3973]

First Teachers ke idhu theriyadhu

[@MohamedAli-wx9nk]

@@keerthigachandramohan3973 நாங்களும் எத்தனையோ தடவை எங்க Lecturer கிட்ட கேட்டோம், ஒருத்தர் கூட சொல்லித்தரலே, அவர்களுக்கே தெரியாது. எங்க Maths professor ஒரு நோட் வச்சுருப்பரு, அதை தூக்கிட்டோம், அவரு காலி,

[@RamKumar-ds9ub]

Madam..ippadi solikoduthu irundha than nama nadu eppove valarasu agiirukumey

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Ippidi solli kudutha apram oru naalaikku oru topic tha solli kudukka mudiyum....

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Bro Build a New School " THE LMES SCHOOL "

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I support 😍

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I support

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Admission yeppo open pannuvinga

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admission for next 12 years will be full

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[@revathir4639]

இவ்வளவு தெளிவாக எங்கள் பள்ளிக்கூடங்களில் சொல்லிக் கொடுத்திருந்தால், என்னைப்போல் கல்வியில் பின் தங்கிய மாணவனும் நன்கு புரிந்து படித்து நல்ல நிலையில் இருந்திருப்பார்.

[@ravindran8761]

I was taught differentiation during my college days at 1978 but understood today only. It's my bad luck you were not born that time. Extremely thanks for my great teacher.

[@professordumbledore369]

I was taught these concepts in class 11 and 12 which I attended between 2001 and 2003... I can understand your pain. Wish we had google and KZbin then 😢😢😢

[@art_of_heart25]

Theivame na college 3rd year padikira ,but ipa tha y=x^2. Panna en dy/dx =2x ,varuthu therithu...Intha channel oru 6 varusathuku munadi vanthu iruntha na ipa kashtam pada vendi irunthu irukathu..

[@The_real_Sarcastrovert]

Naanum sme 3rd yr bro... ippothan ennakum theriyuthu

[@karthikeyan1996_]

Sethuru

[@srikanth1649]

J John joseph Xd

[@AjaySaravana]

6 varushathuku munaadi channel vanthirunthaalum, jio vanthirunthaatha namalaala intha video va paathiruka mudiyum.

[@subramanianchinnathambi4284]

En inamata nee....😊😊

[@a.m.karthick629]

Video potta 10 minutesla 5000 views really wonderful. I think Tamil people are moving more toward knowledge!!!!

[@sisterhood6022]

We've always been there,. movement is only 'dy' now ;-)

[@kailashmuralidharan5849]

@@sisterhood6022 LOL wonder when the 'y' will increase

[@samthomas6789]

Sadly we don't have a channel/teacher like this in Malayalam, seeing BYJU's Ad everywhere 🥴

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bro byjus suck bro !! shit app my 40k gone 😖

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@@gamingnoobie1700 same, but for my brother.

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@@fatpotato3512 shit hppns life lessons

[@fatpotato3512]

@@gamingnoobie1700 yup

[@shaileshkumarbaskaran2929]

மனமார்ந்த நன்றி தோழா, கணிதம் மீது காதல் வந்தது!

[@ggeditx1002]

Eppo propose panna poringa bro 😂 just for fun😅😂

[@viswas2389]

@@ggeditx1002 naa paniten

[@ggeditx1002]

@@viswas2389 rejectaa

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@@ggeditx1002 accepted

[@raavanaprakash]

நீங்க ஏன் BYJU மாதிரி ஒரு app ரெடி பன்னக்கூடாது... ஏனெனில் BYJU தமிழில் கிடையாது

[@mayoorannjayamohan446]

Byju = fraud

[@kirubakaranchandran3397]

Mayooran Jayamohan @ MaYoon you are great mam. By feeding a negative comment you are induce the ppl to see your profile and watching videos. Good marketing strategy 🍻

[@saikrishnasworld9283]

Adhu free eh kedayadhu

[@Iyyappanktc]

😭

[@subaannanthak5005]

S bro.

[@user-nv5pp2ic3x]

The reason the calculation had error in the first example (while x = 2 & dx = 1) was, dx was not small, so we should not simply neglect it; instead we should add it. So dy = 2xdx + dx^2 = 2×2×1 + 1×1 = 5. The reason we use calculus is simply because the change is small. It works also in large scale 😁 this video simplified my understanding 👍🏼 thumbs up for the great work.

[@--dk]

But when x=2 , how can "dx=1". It should be zero right (dx=0)??

[@raghavan265]

I thought of sharing the reason...but u did it...gud job to u too!

[@Astayunoleo]

@DineshKumar dx is with respect to the square example. he mentions it himself in that

[@gowrishankar29]

I agree and I was planning to post the same. How can we neglect anything in mathematics? Anyway, It was a great video to explain the formula. We need more videos like this!

[@user-nv5pp2ic3x]

@@--dk dx can never be zero (dx tends to zero/it gets closer to zero) *it's an infinitesimaly small (very small to measure) value.* If dx was zero then the ratio dy/dx could not be calculated, as division by zero is not defined. This small value doesn't affect the ratio anyway. The example in the video has been chosen in an easily understandable way, such that the change in area of the square is a constant, in other words the change is not instantaneous (it is not changing always) it changed only once by an increase of 1 sq. meter. So we can replace dx by Δx which is an appropriate change. And then dx can be 1 (which is indirectly Δx) and therefore the term dx need not be neglected. We neglect a term only if it is very small and adding or subtracting it does not affect the final result. For instance adding 25 paise to 1 lakh rupees is pointless, so we simply neglect it, as it is very small compared to 1 lakh Rs. Think about it; on his previous video on "How LMES helped Newton" the average speed of the apple and the instantaneous speed were different because the change was *instantaneous* which means the speed was rapidly changing each second. I hope I made it clear. Keep asking doubts 👍🏼 Happy learning! 😊

[@princegns]

I remember my senior school times when I used to struggle with this ....I sincerely attended school classes and tuitions expecting this to understand but all they cared about was to make us memorize the formulas and do as use it in exams .... students who were not bright like me felt like stupid machines....kids today are so lucky to access knowledge from people like you...years later when I somehow completed my degree and sitting jobless in lockdown...I wish I could start again from 11th.....

[@VV-yh4uh]

Thanks as you spoken from your heart and this is the reality even Manickavasagampillai in his book didn't explain this way...

[@ravindran8761]

I too agree with you and my case is like you only.

[@s.senthilkumar136]

Excellent explanation.. Thanks bro for making mathematics so interesting 👍

[@definitelynotacringeusername]

How are you now?

[@dinesh33star]

I was explaining the same thing to my buddies last week. Thank you guys, I got this video. You just made my work simple. Will share it with them ;-)

[@harixeroxkrishnatravels7410]

Pls video about Wireless electricity Tesla coil Interdimensional theory Dinosaurs extinction

[@rohitjg]

Visit rohit science experiment for this topic

[@harixeroxkrishnatravels7410]

@@rohitjg I will see it I liked your reply just now

[@arv1ndgr]

Check GreatScott and Real Engineering channels

[@win9810]

Sir super I always enjoy and listen to your messages you are always informative thank you sir

[@vara1499]

Wonderful explanation Sir. I feared study calculus but your simple approach has made me to understand better.

[@sornalakshmi1615]

Ada paavigala! Eivloo easy ya Na matter A.. Tuition Ku Panam katti padikumbodhu kuda solli tharalyea.. Nanrei.. Prem🙏

[@johnwick6066]

avanga namala vida mosama memorize panna solli tharuvanga 😂

[@MathsclassKI]

Good

[@nothingwrong3698]

That's corporate business Sorna Lakshmi. We have studied school 12 yrs + graduation 3yrs but when we come to job nothing related or don't know where to apply our studied subject. Such type of education system won't help the students will grow to stand their own mind.

[@srinivasanramaswamy1098]

Wonderful. Bro I have completed my education and service satisfactorily and also retired successfully. I have never understood dy/dx. You have made me understand that very easily. Kudos To you

[@berlinkirubha8264]

11th la differential calculus padikumbothu ethuk padikaromnu theriyaama padichom 12th la thaa application problems vanthuchu. Maths has various applications specially differential calculus and integral calculus. LMES Crew , I really wish you great success . Expecting more such videos Thank you

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ANTHA KAALAM friend :enaku sciencela athupudi he: ama ivaru periya ALBERT EINSTEIN NOW friend:enaku sciencela athupudi he :ama ivaru peria PREM ANAND anna

[@theepane8945]

Podu thalaiva.....😂😘

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Change LMES anna to premanand

[@KrishnaVeni-uz8qe]

Hey super ya... effective credit..

[@muthukrishnandiet8459]

No need for a Maths turion teacher,if Maths is taught in this way!.

[@MM-jz7wy]

Go and watch mohit tyagi sir channel.. To master 11th and 12th calculus

[@sankarkannang3294]

U need a English teacher more than a maths teacher

[@muthukrishnandiet8459]

@@sankarkannang3294 ,Bro!, Language is only a medium of communication; whereas,Mathematics/a subject only can develop intelligence!.

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@@muthukrishnandiet8459 bro he told like that bcoz in your comment instead of tuition u got turion

[@muthukrishnandiet8459]

@@rajeshr6086 ,S bro!. I honestly accept!.

[@charlesantony4384]

Dear bro, continue your service to education. Current school textbook teaching collapsed the purpose of understanding the basics. Really I appreciate your effort. Thank you

[@arrjoseph]

Excellent explanation. Got some clarity on this topic after 12 years since i finished my school. Thanks bro. Keep your good work. Cheers 👍👍👍

[@Justknow-is3tf]

Dheivameeeee nandri dheivame... Ithana varshama idhu teryama formula la manapadam panni....... 😪😪😪

[@vinayagams7315]

Mani Kandan nee mattum illa pa...ellarume appadithan..

[@gopinathprakasam3614]

Becoz, even teachers doesn't know the exact fact. They too reinforce the same us to memorize

[@yesubalan6651]

Correct ahh soninga bro ithalam manapadam panni ithu yethuku use aagumnu theyriyama padichitu irunthurukom

[@rajkumarshanmugam8875]

Same blood nanba

[@DineshKumar-cq3ws]

Even engineering maths professor didn't know that.......you r great bro😘

[@sriramk2883]

Super ji. After 24 years . Now only I understood ..

[@haribharathi2054]

😅

[@sujindhamas1323]

I'm looking for a new generation ahead...... Keep going LMES

[@sharanyasri8843]

It will be wonderful if people like you could bring solid change in our education system. Our country would peak itself with such tutors. God knows when such miracles will Happ... kudos to ur knowledge and work. Appreciate your dedication.

[@Balaji31582]

I don't who are those who dislike these videos.. LMES is actually doing a educational service which adds meaning/sense to what we have learnt THEORITICALLY.. Keep rocking team.. more miles to munch

[@mainkandanayyapillai7307]

Bro thank you, After 54years I learn this clear. Really great. All your videos make our students as scientist. Tamil Nadu govt will use your knowledge and your work. I believe soon it will happen. Keep it up.

[@yogesh.s1896]

vera level.. semma explanation and logic.. pictorial representation spotlightu... konjam ellam ideaskum indha madhiri explain pannunga bro

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idu kooda theriyama engineering 4 years mudichaachi with 8cgpa...😬😬

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Y blood, mm same blood..

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Same

[@dinakenthiran.d118]

Uppo Enna panringa

[@nishanttnagarajan6316]

Great video! Found it very useful and shows how i was fooled in the name called mathematics in my school, you guys are doing great job, all the best LMES team !

[@dhineshg4249]

Bro purringi padiga nu soldringa but in this way who will teach us all the concepts. If you support like here !

[@azhagappankathiresan5338]

Ellathayum avar sollikudutha aprm edhuku bro school ku poringa 🤦🤦

[@youvaneshs5451]

romba nandri anna ..! formula ve yappadi padikanum nu puriya vachathuku!

[@santhanam4565]

This is an awesome concept of understanding, previously neither the books had the complete explanation like this nor did the teachers were interested in teaching with an goal to make some one understand the concept. They did do but in cases were the explanation was simple. Thanks for taking this initiative whole heartedly wish this channel to grow larger and benefit the upcoming generation of students. Also, can u get in touch with ur friends in IT field and check if someone is ready to start a channel for programming and other IT related knowdelge breakdown. This will also help all IT engineers upcoming and already professionals who want to learn.

[@krishxxx5341]

Purinju padikkanum nu than aasai but ungalai mathiri teacher enakku kidaikkalaye anna🙁🙁😢 You are really great anna🙏🙏🙏

[@arvindharihara]

It's been 7 years since I passed out of school and I'm so baffled to know the real application only now! Amazing brother 💯 keep going and spread awareness of why we study what we study 💯💯

[@innovativeakshu2832]

Really awesome explanation!!! No one has explained about this formula in this way in both school and engineering college also. Hats off to you Sir

[@Nirmal9396]

Bro school times la maths epdi real life la apply panrathun sir ta keten oru clear answet kedikala aprm science group eduthu bds muduchi oru 8yrs apram entha video next (a+b)2 video ethellam pakum pothu tha maths oda importance puriuthu bro you are really Good teacher & awesome thanks bro thank u...

[@ShunmugaRajab]

Kumar Nirmal Olalaw

[@a4ayyappan]

You nailed it Bro. Even after learning Differentiation in school and college, it had been a matter of ambiguity. Now, the concept and application is clear to me. Thanks for making us wiser.

[@koguladassarugashini7692]

Thank you so much sir... ivalo simple ana visiyathatha na velagala velaganu ivalo naal polambitu irruthe

[@krishnamoorthiperiasamy139]

I read Engineering Mathematics by John Bird. In his book he gave intuitive meaning of dx/dt same way how you explained. Really this approach is very important to apply in engineering problems instead of blind memorising.

[@rambabu-oz2zv]

love maths. many don't known why we use constant c in indefinite integration suppose y=4x+5, if you differentiate it, it will give us 4. we known integral is the reversal of differentiation and vice-versa. but if u integrate 4 what comes out is 4x + c. where the c denotes a constant which has a value from -infinity to + infinity.in this case it is 5. in a same way see all the problem in a graphical way.try to draw a graph of any equation you see. it may be difficult but if started to like it, it may become your hobby.

[@viswas2389]

Bro am also like you,neenga ippa enna padikiringa

[@sriharishkumar487]

Yeah I could remember that my Maths Sir says dx is infinitesimally small inorder to avoid errors....

[@viswanathanbv]

Nicely explained. Very useful for beginners. Most of the time we don't try to understand why we are doing what we are doing. You have explained it very well. Your closing remarks is very apt, we should study not for marks but with full understanding of the concept.

[@ennpee6945]

Really a great presentation of the concept in simpler way...Never had really understood the reason and importance of differentiation...Great effort...7f it was also available in English and Hindi, it would have helped many more non Tamil speakers like me

[@sns2451]

The year I joined my +1,I didn't come across the answer for my question on differentiation... Till then I was interested in maths... But now I am pursuing B.E..... Thank u for solving the mystery 😘😘😘😘... Keep going bro.....

[@LetsBeHuman]

the next secret of teaching - great visuals with examples and inspiring teaching with examples.

[@prakashraj2063]

Itha neenga purinchukirathu...evlo varusam achu bro...

[@lokeshs6448]

10minutes for me

[@bala8618]

This explanation alone made me to subscribe your channel..I did my mechanical engineering 20 years ago and always thought how efficiently to use differential and integral calculus in real...appreciate your simplicity of explaining things..keep up the good work..

[@bhuvanesh1918]

Naaney idha Kekanum nu nenachan. Nenga correct ah video potutinga Thanks bro

[@joshuarohit6995]

I am 27 now may be even my math teachers did not know this

[@sabarishmoni4610]

Teacher ungaluk terialia

[@MonishaJagadeeswaran]

Thanks... Indha oru explanation kaaga sothayae yezhudhi tharalaam... Deivam sir neenga...

[@PainthamizhRaja]

Anna, I'm not a mathematician but I just noticed in the case of 2m Square calculation. In normal calculation, we got y=5 In differential calculation, we got dy=4: where we negating "dx^2" in the formula. (dy=2x.dx). By interest, I had tried by without negating the "dx^2". then I got the perfect answer that dy =5. ( dy=2x.dx+dx^2).

[@aiswarya3461]

I am gonna finish my clg, but now only know the reason behind this formula and how actually it works. Really I won't blame my school bcz our syllabus was formed in such a way that we had less time and more portion and always we rushed up at the end. One suggestion : Pls start any coaching institute that teaches science and engg maths in a most practical way. Age must be no bar to join the cls. For sure like me many will come and get the benefits of learning. I am 21 but still age doesn't matter to learn all concepts in a practical approach. Thank you LMES 🙏🙂

[@sadhananarendar2992]

Good attitude 👏

[@barathbaskar1]

Good one brother! Would you be able to explain Logarithms / trigonometry in a similar pattern ? I think that's another misunderstood part of Mathematics.

[@hariharasubramanian4925]

Brilliant explanation in much simplest way sir..I was searching for this video for long since I used to proceed only if I understand any concepts... Keep doing sir....

[@s.selestina5372]

Oh my god....what a clear explanation.?........ really really super...... ithu mathiri yarum enaku class edukala.....

[@mathumithac3580]

If Every classrooms show us the practical side of books! We ppl're the One's unbeatable!!Thnx for bringing a Change, in the society LMES!! Kudos!💜

[@malarshiv-s.kirthikviid1902]

Superb. In school, they didn't explain this much. Awesome. Thank you.

[@nkr548]

Super

[@vinayagams7315]

avankaluke theriyathu...apparam epadi solluvanga...

[@m.kumarpillai2285]

Very informative. No body teach like this in India

[@pethuraja7985]

Need more basics like this. Hats off, well done boys.

[@balavkrish]

Thanks for simplicity. Could have covered the change in speed during fall of object(apple) as the calculus developed by one of the creator(?) -- newton

[@mohnishsrivats4619]

Premanamd bro please tell the reason of dy/dx of sin theta and other trigonometric functions in next video

[@tanuj9653]

Yah it's confusion for many

[@Dhiyaneshwar_Vlogger_12]

Thank you so much for your Explanations!

[@venkatesansrinivasan8108]

அருமை. பல வருடங்கள் கழித்து இன்று தான் புரிந்த்தது. நன்றி

[@sagarkonnur2861]

Bro I think u r one among vry few people to start this conceptual teaching .. I thanks You sooooo muchhhh .. but request you to teach us in English brooo it helps lot of students .. namak avala tamil varaada Anna 🙏🙏🙏🙏 .. ..

[@s.e.kuzhali7014]

Dear Team, recently l have lot my friend who died in the train accident. He was trying to get down of slightly moving train. He got struck in the wheels and collapsed. He was a mechanical engineering gold medalist and a MS graduate. It shocked me extremely and l want you guys to make a video to state the science behind it and create awareness among the people.

[@prabus3637]

இதுல என்ன science video போடணும்...newton 2nd law ah

[@krishshreeman916]

Thank you so much... Indha maari orutharu venum pa ellathaium puriya vaikradhukku

[@jrmaths1]

மிக தெளிவான விளக்கம் நன்றி

[@hntindian3220]

Bro tell balancing chemical equation

[@purinji_padipom]

Yes bro please tell it

[@hntindian3220]

Bro tell your Id please

[@hitlike8801]

Enna bro class 10 ah

[@hntindian3220]

Yes bro class 10

[@aakaasha6123]

@@hntindian3220 easy only no..

[@sivasakthikannan]

Please put subtitles so that it will be benefited by so many students

[@gowthamchandran1738]

Good teaching bro. romba. supera purinjichu extrava onnum purinjuchu andha error varadhuku reason naama neglect panna dx2 value nalaya. Brother unga explanation super bro😍.

[@ArunKumar-qm9dz]

This is really good video and I guess it is inspired from 3 blue 1 brown essence of calculus. Keep up the good work in explaining the concepts in simple language. I would really appreciate if you would add the addendum for actual geometric meaning of differential calculus which is essentially slope of curve at any given point for simple curves of y=sqr(x) and y= cub(x) parabola and cubic parabola. Kindly advise people square and cube change is practical demonstration and not the complete definition of dy/dx.

[@ramasamygounder1431]

Anna when we normally differentiate x^2,we get 2x+dx.By using limit x tends to zero,we get 2x.This means that when change in x is0, we get the rate of change in equation as 2x.But in above mentioned case dx is equal to 1.so when derivative formula is used here,that is d(x^2)/dx=2x+dx, =2(2)+1 =5. You told the derivative had an error.But main reason for this is you have not used the concept of limits.Don't mistaken me I am studying class 9,but after seeing your calculus videos I got inspired and bought a book from amazon.Then I started reading it.Hence I got knowledge in this field.Thanks for your videos.Now I have started reading 11portions even.If I have any mistakes in comment,please inform me.

[@sadhananarendar2992]

Which book ? Your interpretation seems right.

[@tarunvignesh2122]

Amazing dude continue reading this is entirely correct

[@ytupdate912]

Very Very proud LMES hope you reach more heighter and keep getting stronger day by day.

[@drawmaker8267]

Sir no words..I am an Engineer..now only I understood clearly..Thank you very much.

[@mohanrajreginaswaminathan2268]

Thank you on your efforts that is useful to everyone

[@nigamanandhasarma6186]

It's like a mystery revealed. Thanks to lmes team!!!!

[@sansurvives]

Byjus be like "Yaaruda indha LMES namakkae tough kudupaan pola!"

[@nonasmouny267]

Awesome Hope all teachers in school teach kids like this . When I was a kid we Were not even encouraged to ask .. this is why we have so many ppl wirh Bsc Math with no idea about mathematics

[@ahahha2525]

Wow superb video I searched fornenglish videos but this tamil one is so easy thx a lot tamil naalae gethu thaan 😎 neenga superb ah sollitharinga

[@thenamespeaks]

Now solving mass flow rate calculation while watching before

[@Rotwh7]

Ji...Wonderful video...has always been your fan! One small correction: In <a href="#" class="seekto" data-time="250">4:10</a>, you are saying to omit small areas. Actually, it is not area. It's volume. :) Again, thank you very much for the quality content! Very proud of you!!!

[@swagf3a438]

Simple, elegant proofs.I like it.The power rule can be proved using another way.Slope={y2-y1}/{x2-x1}. y2=f(x+∆x),y1=f(x) x2=x+∆x,x1=x slope = f(x+∆x)-f(x)/∆x But infinitesimal change so, lim f(x+∆x)-f(∆x)/∆x x->0 f(x)=x^n Then use binomial theorem and solve the limit and you would get nx^n-1

[@techohtech5336]

Ultimate sir I have understand for too short.And the say for THANK YOU FOR ALL WORKERS. IT IS A GREAT JOB FOR SCIENCE INTERESTING STUDENTS

[@lordkrishh]

Really I didn't hear this in my BSC mathematics class

[@NareshKumar-cz4cu]

Bro Laplace transformation yethukku use panrom nu solli thanga bro

[@im0083]

Ninga Laplace transform pathi padikringala

[@santhoshrx500]

Using for aeroplane flies

[@saibunnizarsss2566]

Very professional...I can understood...thanx sir 🙇‍♀️

[@ezy_accounts]

one of the best videos explaining differentials. by the way, what will happen to the small area which you are ignoring?

[@mohamedsulaiman7410]

Awesome bro !!! At least u have to teach all lessons once and record it

[@manojbalaji4890]

Well understand👍.. Problem solved Ten years ago the confusion😅😅

[@Black-Bearl]

So you are confused until now 😂

[@manikandan.a5968]

Sir lmes oda oru fan neenga eppavum school students ku mattum work shop vakiringa but na ippa collage padikiren engala mathiri collage students kum vacha romba usefull ah irrukum

[@Dasan41]

When searching for education videos almost all of them are in Hindi which I don't know. This was very helpful.

[@rajkiran5490]

Sir, I finished Engineering...till now I know this was the reason..Thanks! I realize I was doing this concept blindly.... Please upload more videos which makes our understanding of core concept better!.

[@TheFirstNamelessOne]

No need to speak their language, math is universal.

[@goldenlegend7200]

Sir I feel you need to start something like Vedantu because they teach mainly in Hindi and they give top tips only in Hindi. So please start something like this for Tamil students. Please!🥺

[@srinarayani529]

Yes, they have started a new channel exclusively for the training of NEET JEE Exams in tamizh, called *Chitti NEET JEE.* Please do watch that channel😁👍🏿

[@venkatkuppuswamy]

Wow super explanation of differential calculus practical application … well explained

[@muralimenon5078]

Enlightening and interesting. I too come across this explanation after half a century. Thank you.

[@sashikanthsadanand1673]

This concept got cleared after 4 years for me

[@physicspraba]

Explaination innum better ah irunthu iruklaam..... Main matter ke varalaye actually what is meant by dy/dx? Y is dependant on X.......i.e Y is the function of X i.e, Y(x)=2x Y get different value on the basis of value of X When x=1,y get the value 2 When x=2,y get the value 4 Here when value of X jumps from 1 to 2 . (interval ∆x=2-1=1,∆x=1)So that ,value of Y jumps from 2 to 4.(interval ∆y=4-2=2, ∆y=2) i.e, X la ∆x=1 na, that means One unit increase aachunaa, Y la ∆y=2, that means two unit increase aagum nu arttham.. Practical explanation, Let us consider X is a father and Y is the son Experiment no.1,(non stop 2 days Running race) First one hour la,Father 10 feet reach pannumbothu ,Son 20 feet reach pannuvaan(Y=2X, i.e son is 2 times stronger than his father) Next one hour la,Father 5 feet thaan reach panna mudiyuthu ,So, Son 10 feet thaan reach pandraan(Y=2X, i.e son is 2 times stronger than his father) is 2 times stronger than his father) Next one hour la,Father 2 feet thaan reach panna mudiyuthu ,So, Son 4 feet thaan reach pandraan(Y=2X, i.e son is 2 times stronger than his father) is 2 times stronger than his father) Next one hour la,Father 0.5 feet thaan reach panna mudiyuthu ,So, Son 1 feet thaan reach pandraan(Y=2X, i.e son is 2 times stronger than his father) is 2 times stronger than his father) Next one hour la,Father 0.1 feet thaan reach panna mudiyuthu ,So, Son 0.2 feet thaan reach pandraan(Y=2X, i.e son is 2 times stronger than his father) is 2 times stronger than his father ) Due to Tired,father one hour la 0.5 feet reach pannavar ippo 0.1 feet thaan run panna mudiyuthu Father Interval ∆x=0.5-0.1= 0.4 but son interval ∆y=1- 0.2=0.8 ∆y/∆x =0.8/0.4=2(Y=2X, i.e son is 2 times stronger than his father) is 2 times stronger than his father ) Father oda chinna movement ku kooda,antha chinna movement ku thagunthaar pola son 2 times ah irukkaan. On the whole, father aala oda mudiyaathaa situation ai nerungum bothu ,i.e ∆x------->0, dy/dx=limit ∆x----->0 ∆y/∆x = 2.......... i.e son is 2 times stronger than his father ) Y=2X dy/dx= 2(x°) =2(1) =2 Thus, son is 2 times stronger than his father..... Rate of change of y with respect to x is 2 .

[@Harikrishnan-iw3kv]

Super explanation. 👌

[@aravinddeena7645]

Hi bro...neenga Enna padichirukeenga...

[@spbros2497]

Excellent

[@sujupravin4957]

I would have scored centum in maths is my teacher had explained me like you. Until you explained, I did not know what Differential calculus means. keep up the good work.

[@harirao2499]

This was taught to me 20 years ago, now only I understood. Thank you