Chain Rule With Partial Derivatives - Multivariable Calculus

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This multivariable calculus video explains how to evaluate partial derivatives using the chain rule and the help of a tree diagram.
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Vector Equations of Lines:
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The Equation of a Plane:
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Planar Equation - 3 Points:
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_______________________________
Lines & Planes - Intersection:
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Angle Between Two Planes:
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Distance Between Point and Plane:
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Chain Rule - Partial Derivatives:
• Chain Rule With Partia...
Implicit Partial Differentiation:
• Implicit Differentiati...
________________________________
Directional Derivatives:
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Limits of Multivariable Functions:
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Double Integrals:
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Absolute Extrema - Max & Min:
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13 сен 2024

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Комментарии : 225

@TheOrganicChemistryTutor 8 месяцев назад

Final Exams and Video Playlists: www.video-tutor.net/

@additco1 4 года назад

Great video! At 3:52 dy/dt should be 15t^2.

@foundmee 2 года назад

I was looking for such a comment

@yeasinibnekadir7464 2 года назад

@@foundmee same

@mosis9276 2 года назад

I thought I was the only one who noticed that. I thought it was just supposed to be 15^3

@Speedypants88 Год назад

Thanks man, great comment!

@sophiaonyoutube Год назад

thanks!

@catcen9631 2 года назад

I graduated from a 3rd world country with a super shitty education lvl. when I started pursuing my college degree in Germany I was really struggling with math (since I had no background) and this channel helped me pass all my finals, moreover now I'm able to do calc 3 with literally no mistake... I cant express how grateful I'm thank you, organic chemistry! you are a true hero!

@manage.1723 Год назад

Chad

@taasinbinhossainalvi9173 Год назад

Chad

@Runaasu Год назад

Chad

@arjunnnnnnnn Год назад

dahC

@eskees9498 6 месяцев назад

goat

@salinalamasl 2 года назад

I hope you know how happy it makes me when I search for a topic and you have covered it. Nobody explains such a complex idea in a simple manner as you do!

@anthonyajao2156 11 месяцев назад

You have no idea 😭😂 He needs to do more videos on calc 3

@AdrianGonzalezBlogs 4 года назад

God bless this human, taking tomorrow my final for calc 3.

@imaginer04 4 года назад

Indeed.

@ironman5034 4 года назад

Same here, calc 2

@NoName-bh4pf 3 года назад

How’d you do?

@AdrianGonzalezBlogs 3 года назад

@@NoName-bh4pf lol I can't remember my exam grade but I passed the class 🙌

@Nickv333 2 года назад

thats literally me right now holy

@carlossantana8306 4 года назад

Dude! You answered my prayers! I asked for this video at the beginning of the semester and you came through!!! I have donated to your patron page all semester and I can not have done any of this without you !

@jamesa.646 4 года назад

Thank you so much thanks to this shitty quarantine my proffesor doesn't even bother giving online lectures or any resources to help us. Just gives us HW but thanks to this, I was able to tackle the problems fairly straight forwardly

@cameronsantiago3155 2 года назад

Wtf?

@andypantes8062 Год назад

genuinely the best online tutor/professor. You teach math better than anyone in my humble opinion. Extra is that in this video you explain it the same way as my professor!

@waanochannel6502 4 года назад

Am about to take my calc 3 final tomorrow. I'm sad that u just started uploading that topics. Thanks tho, you're the secret of my straight A's.

@AB-gu9ui 4 года назад

He started uploading a week before i started calc 3 :))))) couldnt be happier

@peterfisher5931 4 года назад

Don’t keep this man a secret!

@isaaq1393 3 года назад

How did it go?

@waanochannel6502 3 года назад

@@isaaq1393 i got an A 😊 alhamdulilah.

@isaaq1393 3 года назад

@@waanochannel6502 mashallah walaal. good on you. Wish me luck

@meat55 4 года назад

first problem's answer should be 15t^2, not 15t^3

@janjansen2091 4 года назад

ikr I was so annoyed by that haha

@dj.a.4109 4 года назад

Yeah

@divyoroy9056 4 года назад

Nah bro he accudently wrote t^2 but it is supposed to be t^3

@hamzarajab6281 4 года назад

@@divyoroy9056 are you on pot? haha it should be 15t2

@mikechalek9281 4 года назад

It was just a simple mistake

@georgesadler7830 Год назад

Professor Organic Chemistry Tutor, thank you for an awesome outline and analysis of the Chain Rule with Partial Derivatives in Multivariable Calculus/Calculus Three. Problem solving is always the key to understanding all the concepts/materials in Mathematics, Physics, Computer Science and Engineering. The Chain Rule is problematic from start to finish in Calculus Three. Thanks to the great viewers for finding and correcting the small error in the beginning of this video.

@katkrasher 3 дня назад

This guy got me through calc 1 ,2, chemistry, and now calc 3 he might as well be my real professor at this point

@priyankagorla8639 2 года назад

*I had a lot of confusion and it's cleared all thanks to you sir!! You are a really great teacher sir.*

@boramawi 2 года назад

I took more than two classes of 3 hours each and found myself more confused with this concept. I got the whole point of this lesson from this video by the first 2 minutes! Really amazing video. Thanks a lot.

@helnyxiscool 4 месяца назад

I've never understood this concept in my life, but the tree diagram makes it so simple! I GET IT NOW AFTER ALL THIS TIME!!!

@FarhadADeven 3 года назад

you are great man thanks! I hope everyone watching this video takes their time and comments and likes this video in order to help with the algorithm! Thats the least one can do to show the appreciation for what you do. thanks for your effort man!

@brandonprice1901 10 месяцев назад

everyone in the comments gaining some sort of ego boost for correcting a simple math error, but we are all here watching these videos cause we are lost in the first place 😂

@Kier_but_who_cares 3 месяца назад

Yeah I agree with you... After all, everyone should know that this math teacher is only a human, who can also create mistakes.

@impulsiveguys7599 11 месяцев назад

issue in the first problem where dy/dt of 5t^3 should be 15t^2 not 15t^3

@ricric4722 2 года назад

I cannot thank you enough. I pray you get all the Blessings, Happiness and Joy you deserve!

@adeeltufail 3 года назад

Truly professional videos Cannot thank you enough.

@happy-ej2cc Год назад

thank you so much for bringing complex topics in math down so anyone can learn it, I have been so behind in university study I used your channel as a last resort and I have my final exam today and you helped build my knowledge and confidence for it :)

@anmol3457 Год назад

Good luck, i have my midsem in about 12 hours lol

@knanzeynalov7133 Год назад

I have missed all the lectures of Calculus class this semester. Thanks to this guy I'm learning everything then by reading book and solving questions practicing. Have my final in 10 days I'm tryin my best to reach to the class topics.

@muteahmdv 4 года назад

Hello teacher, Thanks to you, I can really get the main idea in calculus 3, watching your videos and solving questions from book, I got the topics very easily. I ask from you to teach us more about Claculus 3 with videos. At our university we are studying from Thomas' Claculus thirteenth edition, I hope you will teach more topics to us from Claculus 3. Without your teaching I really get hard to follow and study those topics. Best regards teacher, thank you :)))))

@kaeshaun4037 3 года назад

I have CALC 1 exam tommo, im a freshman in chem eng i DEDICATE my degree to you. YOUR VIDEOS ARE SUPER DUPER HELPFUL

@OGCBxGrub 2 года назад

This is calculus 3

@Batman_2003 11 месяцев назад

@@OGCBxGrubcan still be used in cal 1. Just using applications of partials rather than implicit and tbh partials are easy to understand so I’m sure he figured out how to do all of it the cal 3 way lol

@iqbalseeam9067 2 года назад

This channel made my study much easier and effective. I love this The Organic Chemistry Tutor channel.❤

@RicardoGonzalez-tg3lw 7 месяцев назад

My lecturer took a million classes to explain this, and I didn't understand. I watched 2 mins of this video and it all made sense. You're great! I'd be failing all my classes if it wasn't because of this channel.

@elliewolcott6254 2 года назад

Thank you so much!! I've been on the brink of a mental breakdown the past hour lol I needed this video!

@parneetkaurreddu4320 3 года назад

Sir, I understand the whole concept, thank you so much!

@majdlabbad5221 3 года назад

May God, Or the Universe or whatever you believe in bless your soul! I don't understand how this dude explains in 20 minutes what I failed to understand in 90 minutes of lecture! dude fucking pure magic.

@priyaprishni3366 4 года назад

my goodness.... thanks for this video...I have been breaking my head for 3 hours for this topic and you have explained it sooo clearly :)

@doom8185 Год назад

Thank you so much !! 3:56 shouldn't the derivative of 5t^3 be 15t^2?

@jyothiswaroop2964 2 года назад

Thanks a ton!!! My exam's tomorrow and this video was very helpful!!

@favhwdg 4 года назад

Ayy thanks

@marikantitarun8071 3 года назад

hey!! passed it?

@gambitsgobrrr5687 3 года назад

Not all Heroes wear capes . . . . Some teach online too❤

@wejdan1974 3 года назад

You’re a lifesaver man i love your voice ;)

@peterfisher5931 4 года назад

Still my man crush every Monday.

@MrMinbs Год назад

Perfect!! The most clear explanation!!

@TMK264 2 года назад

You are such an amazing teacher. Thank you.

@aswinnath4118 4 месяца назад

You are actually the GOAT

@BSingh-on4qr 4 года назад

That tree explanation is brilliant for understanding

@ananyathukral100 3 года назад

This guy is a legend :)

@gautambhaskar4160 2 года назад

Best Video on multivariable chain rule

@syifanurulawaliah5678 2 года назад

THANK YOU SO MUCH FOR SAVING MY TIME AND GRADE

@SONO4B11T 2 года назад

Your Calculus videos are amazing! Thank you.

@user-km2hk9tu6z Год назад

you are awsome💌 love your class

@muhammadrafaydanish8837 2 года назад

Thank you man, always coming in clutch

@zuhairalsaffar7001 4 года назад

You are more than professor l. Like your way of teaching thanks you your best

@benjaminomare6685 2 года назад

Right on time to save my me.Sir you doing a great job.

@jjvfly7651 4 года назад

Great info with more ads than daytime television

@Les303 3 года назад

just download an ad blocker if they bother you so much

@NorahAQA Год назад

What a great explanation! What a great topic!

@OyukiMaqueda 2 года назад

is first exercise dy/dt=15t^2 NOT 15t^3 right?

@NitashaAslam1 3 года назад

I love The Organic Chem Tutor.

@dlwlrmae 3 года назад

God bless you. Really. I hope that you get everything you want and need. You’re a saviour 🙏

@sirnessaB 7 месяцев назад

good work.

@eriedului 2 года назад

Happy to see people in the comments rejoicing that they saw the mistake on their own. I did too. dy/dt = 15t^2

@samuelbassey6806 Год назад

Thanks for sharing

@manashalari2987 2 года назад

thanks for this.

@earthcinema8912 4 года назад

thanku very much sir.just 4min.I got this topic

@calculusandchembuddy 5 месяцев назад

Always make the tree diagram. It's really intuitive

@480pixels Год назад

THANK U FOR MAKING THIS CLEAR 😺👍👍👍👍👍

@yerassylkaiyrzhan 5 месяцев назад

A Brilliant as Always

@b.f.skinner4383 4 года назад

Very easily explained, thank you!

@pardisattar9935 3 года назад

god bless you , you saved my grades :")

@KT-dv8qy Год назад

thank you very much sir!

@sohailkhanzbr1013 2 года назад

Good explanation

@richardvasquez5912 2 года назад

Thank you, this was very helpful!

@sudhakard5604 3 года назад

Really superb sir upload more videos on maths sir

@mohammadamanalimyzada8332 3 года назад

thank you. i really enjoyed and understood it.

@yousufhaidari6319 2 года назад

Thank you brother

@glebignites5278 3 года назад

Thank you sir! This was very helpful.

@nolestock4291 4 года назад

Thank you so much for the video. Without it I would have been in the dark with not only multivariate chaining, but single variable chaining as well.

@Muvoka 3 года назад

you've saved me.....thank you so much

@makemymarket1772 Год назад

You are amazing.!

@danielhakim3739 2 года назад

thankyou bro really bermanfaat

@abubakarsadickaziz8513 3 года назад

Very helpful 👌❤

@noorryen2560 2 года назад

Man you are a savior

@dipeshpokhrel7187 2 года назад

The professor we wish we all have

@rage6224 Год назад

GOD BLESS THIS MAN

@akashsreeni5314 3 года назад

Superb video. Thanks

@arshsingh3071 2 года назад

YOU SIR ARE GOATED

@isabellemunoz3273 3 года назад

I cannot thank you enough!

@rupesh.nz0613 9 месяцев назад

Perfect video, thanks a lot! :)

@mohamedfaisal6991 Год назад

15t^2 sir not 15t^3 little mistake there

@Riad-Eleid Год назад

Thank you

@salmaalyahya8916 2 года назад

man I would like to see you in heaven. i love you so much for this. for everything that you’ve been creating. i wish i can thank you enough. god bless your soul ♥️

@maqsoodabbas5112 2 года назад

Great video 👍 but some mistakes that can made me confusioned...also in question 3 .. firstly the value of z write z=rst then it change with z=rst^2.

@al-washisarkerturan8913 Год назад

very useful

@salman-oi9bp 4 года назад

Can u plz make a video fourier series and line integral and also on greens theorem

@sallubegg6225 Год назад

Great video! there is a small mistake At 3:52 should be dy/dt=15t^2.

@EducatorOP 2 года назад

Thanks for saving my semester hahahaha 😃❤️

@blndcr7766 3 года назад

Well done , thanks

@RaniaHassani-ki7us 3 месяца назад

thank you

@nicolasleblanc7363 4 года назад

Great video! Could you make a video about the second derivative of a multivariable function when you have to do the chain rule?

@the_kid777 10 месяцев назад

Math becomes so clear that a 12 year old can learn multi-variable calculus, once you find just one thing... This channel.

@connorB333 3 года назад

Managed to understand this first time i’d seen it thanks to you! One thing i’m unsure of though, is in the final example where you begin combining terms, (2zy^3) and (2rst) you multiply together to get (4zy^3rst), but you do not combine (3y^2z^2) with (3r^2st^2), why is this?

@TCXGamer 2 года назад

Great video!

@windoffkyei7490 2 года назад

God really bless u boss

@natashasthilaire1950 3 года назад

thank you sir!! ♥

@Zeynep999-o5e 3 года назад

3:55 it is not 15t^3 but 15t^2 it is not a huge prob but just sayin, thanks for the video!

@jecs3300 4 года назад

can u make a video about how to assume the value of something in word problems, for example ,the value of x.... i'm a first yr student and i don't know how to approach some word problems.... anyway, thank u for ur videos, it helps me a lot.... if I know ur name, I will give u some precious gift