dy/dx, d/dx, and dy/dt - Derivative Notations in Calculus

[@TheOrganicChemistryTutor]

Derivatives - Free Formula Sheet: bit.ly/4dThzf1 Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk Next Video: kzbin.info/www/bejne/qGazhYFoicx6rcU

[@0xVENx0]

you probably already know it, but man, at any point in your life when you feel down remember that you are the man who helped millions over the internet for free, you are a good man!

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[@tahereltanahy6752]

Totally agree

[@Pedro_Le_Chef]

This man is a national treasure, and he is not even from my country.

[@tafim5558]

This indeed

[@zadiczane7618]

say "man" one more time

[@liamtolkkinen5025]

My calc professor never covered this, she just expected us to understand what the difference was! This video was a huge help so I thank you for clearing it up for me!

[@billbob9570]

school overcomplicates everything so less pass

[@gabrielgamez4686]

Omg r we in the same class ? LMAo

[@willylie9995]

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[@FerghusCameron]

Hey I'm a 9th grader and I'm learning some calculus because I think it would be kind of useful for the future and I can can somewhat understand it up to my knowledge if someone explains it to me and tries to listen to my point of view! I am happy to know that I still have a chance to make a good success

[@ethan8348]

@@FerghusCameronyou’re gonna be a genius come senior year

[@Zersara]

*The first few seconds already taught me more than my teachers ever could*

[@ilukeith4922]

Mylinhble 😂

[@tofuchewer]

yeah, nobody never taught me this, idk why.

[@kingricharddiango9559]

Blame your pals, haha idk

[@HeyKevinYT]

Force BadBoyHalo to learn Calculus

[@gigatrooper5098]

ThE fIrSt FeW sEconDs alreAdy taUghT mE mOrE thAn mY TeAcherS EvEr coUlD get that generic BS statement outta here, if that taught you more than ur teacher, then you can't concentrate properly, probably adhd or add.

[@MuhNine]

I have taken University Calculus 1 and 2 and this has always confused me. Whenever I'd ask a teacher they would just say its the derivative of y in respect to x but that means nothing! This video has finally made me understand something that I just had to guess at for over 2 years of calculus and almost a full year of calculus based physics

[@kiranlalani552]

this is saving my life during online school where you don't learn shit

[@lemowonapimaximilian5022]

Fr💪🏽

[@nyuhsexecutioner4795]

Just wanna say... You saved my life on my high school days and im very grateful for that ^_^ *thank you*

[@Chris-pt6hh]

I'm at one of the top universities in the world, and your videos are what really teach me. Once I'm out of med school, you're getting a fat donation.

[@arianaeilish6169]

Which uni?

[@orirori8294]

@@arianaeilish6169 hes lying prob

[@arianaeilish6169]

@@orirori8294 yeaa

[@thebigyeeter4282]

which university?

[@sunnianonymous4416]

@@arianaeilish6169 I don't think so

[@markchen8893]

My German physics professor just "blitzed" through everything without talking about this. You just saved my life! Thanks a lot.

[@matheuscastello6554]

i wish my teachers explained it this concisely, i never knew what to do when i saw dy/dx and now i know! thank you very much

[@andreapinedo7058]

thats exactly the way I felt before watching this video, he's a hero indeed

[@zojirushi1]

@@andreapinedo7058 he's a legendary hero!

[@yrok244]

@@zojirushi1 An absolute legend.

[@shamsideenjamiu9280]

You deserve some accolades sir because you really know how to explain stuff honestly, you make maths look like a piece of cake. Love all the way from Nigeria 🇳🇬❤

[@alaurenfuentes]

it is once you get it :)

[@ArtiMishra-rd1cp]

You read my mind. I was thinking about this today and you posted... I am glad I found you early. I am just in 11th std Love from India 🇮🇳 Thank you for your gr8 work

[@EpicTurbulance]

Thank you, you have really helped make Calculus look easier. We don't really go through this in Education. And the fact you use dy/dx instead of f' and g' helps me understand too. Now I know why d/dx is written and have learned better about how derrivatives with respect to a specific variable.

[@ahmedreda1620]

Man, God bless you! I have just started my master's this semester, and one course is all about derivative notations. AND I ALMOST DIDN'T UNDERSTAND A THING UNTIL I WATCHED YOUR VIDEO! SO THANK YOU SO MUCH!!!!!

[@zojirushi1]

Thanks that first part was very helpful I was always curious to know the difference between dy/dx and d/dx. Now I know dy/dx tells us what the answer is and can also be written as y' and f'(x). While d/dx is telling us to differentiate inside brackets.

[@edilsonruach]

Exactly

[@umagovindaraj4339]

Thanks a lot.. I'm an Indian here in India for many highly tough competitive examination exams like JEE, NEET these are concepts are most important and play a vital role...... Once again thank you so much for explaining this clear.... 🤗🥺❤❤❤

[@Rainnnbow]

You literally saved my maths.... Thank you so much

[@funyunsferret4289]

Huge respect to you man! You're educating millions arround the world online. We can't thank you enough Love from India ♥️

[@anushree8908]

Tomorrow morning I've my exam, and this saved me my time. Short and sweet. Thank you so much. There was a big confusion between them & I guess it's very clear now. Thanks!

[@minleyfox5231]

This is a good explanation but is missing something that produces confusion among the comments. It is correct that d/dx (y^3) = 0. It is in general also correct that d/dx (y^3) = 3*y^2 dy/dx. However, it should be clarified that this notation only "works" if y is a function of x. Thus, it should be better written as: d(y(x)^3)/dx = 3*y(x)^2 dy(x)/dx.

[@igoranisimov6549]

Makes no difference. If y is not a function of x then dy/dx=0

[@andrewholtan3286]

Great tutorial. Thanks for showing that math concepts can be comprehended if the basics are portrayed in clear, easy to comprehend steps.

[@kiyoponnn]

Whenever I watch your videos, my anxiety just fades away

[@mouayadmaher5525]

I was looking for (Why d/dx [d/dx (y)] = d²y/dx²) when I found your video and I understood it without even watching the rest. You're an amazing teacher In every sense of the word.

[@thetooginator153]

I am another grateful viewer! I’ve heard many explanations of the difference between dy/dx and d/dx, but yours was the first I understood!!! If I understand correctly dy/dx=2x is a statement (this IS the derivative), whereas d/dx=x^2 is a command: differentiate x^2.

[@nickscopre726]

This was actually very helpful, my school just kinda skipped derivative notation and this is saving me before my implicit differentiation quiz, so thank you very much.

[@jarskil8862]

I finished damn college 2 months ago and they never taught how to do this. They just told to throw the stuff in calculator without explaining what even is going on

[@vidishareddyvuppula3125]

I just can't thank you enough for this...you just saved my mind from blasting after my last physics lecture...now it all makes sense only and only because of you....love you so much for that...😄❤

[@matthewc8116]

This is fantastic. Ive always struggled with this because its rarely explicitly explained.

[@ItzMxsticTV]

Took Calc 1/2 during Covid, somehow got past them but I never really learned anything. Now im coming back to learn them for Deep learning. You are a huge help

[@josesousa6428]

I am not even learning this at school I just like his voice

[@ZainabZehra786]

lolllll

[@Wolfickle]

Thank you for this dude..I am currently having Calculus in online classes so this helps a lot more than my ignorant teachers with bad internet!

[@wrusselrani9511]

Your existence is a blessing to millions of people around the world.

[@degenerationz9284]

Dy/dx --> denotes a derivative of the function y with respect to x. D/dx--> states that you should take the derivative of the function in the proceeding adjacent parentheses. Dy/dx=d/dx (y)

[@theuserings]

Thanks

[@jeremyhofmann7034]

It helps me to translate these notations into programming language statements. So dx/dy could be called with differentiate(x, y) where differentiate(expression, respect_to) is a function that accepts an initial expression and applies the “respect to” variable to each differentiated term in the expression.

[@СанжарАлманов-т3с]

Bro I love the way you teach, you REALLY helped me a lot, I am actually in first year at university. Your videos is literally a gold for me. Thank you very much!!!

[@han.jisung-s_cheesecake]

My teacher explained the difference after someone asked her, but I still didn't understand her explanation. So you are saving my life here🤍🤍🤍

[@gunnerrn]

You are litterally carrying me through my calc course, thx so much

[@randht]

If most teachers thought this way so many students will not be dropping math and science classes. Thanks for your help.

[@anaswaer2619]

Just wanted to say that you've helped me a lot in different subjects in high school and college. I am very grateful, Thanks

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for a solid analysis on Derivatives Notations in Calculus. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@helljumper911]

Great. Thank you ! There are many videos in german who explain Derivative Notations, but not the diffenrence between dy/dx and d/dx. Now I finally understand this. Thank you !

[@warlocksmurf]

i just finished my calc 1 test yesterday and tq for all ur vids throughout my semester

[@JosephVallejo27]

Have a midterm tomorrow and this explained so much more than anything in the class 😭

[@Whatyousee63]

I'd never missed any class if you were my professor thank you sir for educating me with your videos I'm glad I found your channel❣️

[@GryffieTube]

This is the best explanation I have heard ever and yet it is something so simple!

[@chestman6511]

Man, you'r a King!

[@alicesenz6374]

FINALLY THIS MAKES SENSE. GOD BLESS YOU

[@bigpinut2386]

its hard to find the words to describe when you dont know these things, really helpfull thanks

[@forward876]

another piece of the vast puzzle just dropped into place! Thanks

[@leenelmir7463]

Sir thank you for all your effort, you have a natural gift for knowing how to explain

[@zojirushi1]

agreed he is great at explaining!

[@Chrisymcmb]

"Let's see if youuuu, been paying attention?" Thanks for keeping on track kingggg

[@elitewasi-up7dt]

Thank you, tomorrow my exam, i stuck in a basic calculation required only this but i don't have more time, thank you for your short video.. Love from Bangladesh

[@pedrosso0]

after seeing the first few sec, my assumptions are: d/dx f(x) = the derivative of f(x) dy/dx = the derivative of y dy/dt = the derivative of y in relation to t dx/dt = the derivative of x in relation to t d/dy f(y) = the derivative of f(y) in relation to y

[@magnusopump]

Thank you! It's too late for me (Calculus was 30yrs ago) but at least now it makes sense why I never did quite understand the notation.

[@taotaofu9331]

The first 2 minute solve my biggggest puzzle since I entered university.

[@crip5992]

Are u studying this in college?? We ppl here in india study calculus in 11 standard

[@instantchanel9696]

I have been search for a long time for this vidio🥶 I always confused on my physic before i see this vidio Good job :)

[@applejuiceandy4920]

Wow you made it make sense in 5 mins when I couldnt get it for the past month

[@brandonl-v5x]

Also, just a note. You might wonder why d/dy[x^3] is 3x^2 * dx/dy. Well the dx/dy term comes from the chain rule. Good thing to remember so you can understand the concept rather than just memorize how the dx/dy term got there.

[@SouthBayEngr]

Thanks for this. I need to revisit the chain rule. What does it say in short? Trying to make sense of why you need to slap that dx/dy onto there

[@jarskil8862]

Omg I think I finally got the basic idea of this. They never explained this. They just threw it on you and expected you to know.

[@guliyevshahriyar]

Thank you very much teacher, has benefited many tutorials from this channel. Keep up the good job!

[@GoldennS990]

The BEST BEST BEST tutor ever!!!!!! Lots of respect and thanks!!!!!!!

[@jimmztorz4036]

Very thankful to you from any topic. You are genius

[@arpankarmakar16]

You just saved me from the anxiety of not understanding math from examples. ❤❤

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You always have the answers to my questions in Mathematics 🙌❤️ thanks so much!

[@sunnianonymous4416]

Bro I'm on.the best college in Egypt(the Cairo uni)and i study computer And I only.knew what this means by u Big thanks for u

[@VeliKaya-p5b]

Great explanation of derivative notations. Thank you!

[@CONTENT.YOSIKIRA.THANUSH]

Thank you man it was very helpful for me pls post videos explaining the part after this

[@wdivyankop]

woah man! i cleared up my dbt in the first minute of your video. true peace when you get your doubts solved ! _/\_

[@SouthBayEngr]

What’s the point of multiplying by the derivative notation (eg. dx/dy in the example at 5:39)? What does that signify? Why isn’t it just 3x^2 + 5t^4?

[@Alistair1607]

i think its the chain rule, i think its basically like rewriting d/dy to like (d dt)/(dy dt) then seperating to d/dt and dt/dy, this (i think) is how it works for single varianbles

[@1ucasisdead]

Saved my life man. Thank you

[@hiu9196]

This really helped me out. MANY THANKS TO YOU

[@AbiolaOdunsi]

Guys, once I hear "in this video"aaaaaah!! I feel I have an 100/100 in the upcoming test

[@reiley1141]

I may be wrong but I think the reason d/dx(y^3) = 3y^2(dy/dx) is because of the chain rule in which it is the derivative of the outside function times the derivative of the inside function. Since Y should represent some function of x being operated on, dy/dx represents d/dx of that unknown inside function in which you solve for in implicit differentiation.

[@lovelicky520]

🥲🥲🥲🥲🥲🥲🥲tysm 我感觉我这辈子学的绝大部分东西都能在您这里找到

[@YoannBuzenet]

@1:17 I have a question regarding the writing dy/dx. So I get it is the derivative of y relative to x. But why do we write it dy/dx ? There is no division, but we use a fraction to illustrate it ? Why is that ?

[@I_Am_Killer_B]

"d" stands for "differential" which means "change in" so dy/dx represents the ratio (which is what a fraction is) of how much the y value changes per change in x.

[@한승윤-f6f]

Your video was amazingly helpful! Thank you for posting such magnificent lesson. But may I ask you one more question? So the expression d/dx[y] means differenciate y in the view of x. And because deritative of y is simply 1, the answer would be dy/dx. But would it be a flawed explanation if I say 'd dissapears while differenciating y, and dy emerges because the function is about variabe y'?

[@advocatusdiaboli7851]

Eyeopener. Helped me a lot. Thousand thanks

[@zyankarim544]

when differentiating with respect to a different variable, I always assumed that the argument had to be a function of the the variable we are differentiating by, otherwise the derivative would be 0. for example, if we take d/dx [y^2] and y is not a function of x, then it can be treated as a constant and the derivative is 0. But if it is a function of x, then it would be 2y•dy/dx. is this right? or was I mistaken

[@minleyfox5231]

Yes you are right. A non-ambigous writing is: d/dx [y(x)^2] = 2y dy(x)/dx

[@JamesBrodski]

Thank you so much. I actually understand this. You're awesome!

[@jurajzembjak9721]

At 3:00 I don’t understand what it means “times dy/dx” I kinda get why we need to do it but i just can’t understand it logically please help

[@vyompatel1002]

Yo guys where does he make these notes? I want to know so I can help some people learn and this seems pretty goood

[@karthikchowdary6649]

dude at 3:00 why cant u differentiate y^3 with power rule.and why did u differentiated y^3 aditionally with dy/dx.please reply i am not able to sleep and move to other topics because of this doubt.

[@ziphy_6471]

I hope you slept in the last 3 years

[@nikolaysalutski3270]

fantastic! thank you so much for your very inductive explanations 😇

[@alaurenfuentes]

this really helped, thanks for being articulate. I understand so much better now :) I was like wth do all these letters mean when I'm doing the same thing lol

[@amitkumaranand843]

Cleared my much awaited doubt

[@drpkmath12345]

Cool. Notation is so important to know for sure!

[@evilg9010]

That was so, so helpful. Thank you

[@billk8579]

Clears up some problems for me.

[@makimadera]

changed my whole life for a second

[@tengiS3]

best explenation that i have ever head im 6th grade i just need teacher like him

[@ekimyukselbaba8847]

What how did you know what y's derivative was? What does respect to x mean????

[@kshjnbvsmd]

there's a video on khanacademy explaining the concept of "derivatives", i recommend you watch it

[@shahriyarrabbi8651]

onek upoker hoilo

[@jimmykitty]

Ummah.. A big one ❤ Thanks a Zettabyte Sir!

[@yandhi4202]

5:10 curious - why would one differentiate wrt to y in an equation without a y variable? what does this intuitively mean?

[@mileinagomboz9927]

Please make a video on Differential Equations and Mclaurin Series expansion

[@joshiifruit5554]

Thank you for this! Really helped me a lot

[@JonhFonseca-o7e]

Gracias , muy buena explicacion att. Jomafoman Bogota Colombia

[@Squash101]

The first minute I learned more than I did in a 3 hour lecture :'}

[@firdoshparbin1997]

Love love love love love love loveeddddd it.......cant thankyou enough for this video

[@रोहित1]

Thank you so much 🥺🧡🧡🧡 🇮🇳🇮🇳🇮🇳 love from you know where

[@graham8316]

if y = x**3 4x**2, isn't (d (x**3 4x**2))/dx the same as dy/dx? It's like an expanded form? If it's a fraciton doesn't x**3 4x**2 go on top with the d if they're multiplied? Is there a reason we cant "expand" the numerator?