Calculus: Higher Order Partial Derivatives

[@OUKEN2024]

MAN SOMEONE SHOULD GIVE THIS GUY AN AWARD I LEAVE MY MATH CLASS ALL CONFUSED LIKE I AS HIT WITH A FLASHBANG THEN I REMEMBER PATRICK SAVES LIVES AND HE SAVED MINE, NOW MATH IS MY BITCH, THANK YOU SO MUCH.

[@AldosWorldTV]

hahahahah flashbang lmfao i legit laughed out lout

[@fayrajamanda4766]

Man it’s still working 6years later

[@YvonneRuizz]

saving calculus lives since 2009. thank you lord for this man :D

[@whoeverwhoever400]

cool. now i know how to solve fxyyxxyyyyxxxyyx(x,y)

[@archismanchakraborty8228]

Sed life

[@feanor607]

Patrick I've been studying Math now for 5 years and if I had a dollar for every time I've said to myself "Patrick you are a Godsend" I'd be living in luxurious retirement anywhere I chose to live. I had managed to figure out the Chain Rule but could not understand the Higher Order side of things until I watched your video. Within 20 minutes I was solving my Math problems. Patrick you are a Godsend and a wonderful teacher too. Once again a heartfelt "Thank you" - you have a rare gift.

[@RaXaBBath]

Effortless & so relaxed. I would've never understood Partial derivatives if it wasn't for these amazing videos. BTW, u r an excellent teacher!

[@Baps1985]

Doing homework at home, online, and past midnight, and am so grateful for this video. Thank you!

[@janeshazel]

I'm refering my instructor for Math Analysis/Business to use your videos cuz he has no clue what he's talking about! I should be paying my tuition to you! Thank you for your clarity and the videos!! They're a life saver!!!

[@StaceyWong1997]

Why are you so much better than every math teacher I've ever had?

[@patrickjmt]

glad it helps : ) i just need some better lighting now : )

[@shougfab3682]

I love your videos and I understand 100% from you in ALL courses, you seriously have no idea. If there was not you I would have missed up in all my quizzes and exams. I love you and I love math because of you.

[@patrickjmt]

@mb7733 well, you use them to find maximums and minimums of functions (for starters)

[@stuttaz8]

you're a life saver ! I found your videos 2 days ago and have been addicted ! They've been very helpful !

[@kyraleemurcott3418]

THANK YOU!!! I was stuck on part of this topic for hours and your video made me realize something vital. You are a legend.

[@pinksincerely]

Thank You :) I am currently studying Calculus 1 right now and its really hard, my teacher explains it well but still the subject is really hard and when I watch your videos it really helps. Every time I have a quiz I always go to your channel and watch :) So I really just wanted to say thank you, you have helped me a lot! :D Keep it up and God Bless Mr. Patrick!

[@jahpeng101]

Thank you for the help! This was discussed to us for only 20 mins. I didn't understand this concept clearly in class because I have a headache earlier. But now, I understand it even though I have a headache! You made it simple!:) Keep up the good work! B

[@mookieoftheshire]

You helped me with Calc 2 so much and now it looks like you're going to be my hero for calc 3 too. Thank you for all your help, all your work. I appreciate it very very very much.

[@abdullahabrar8589]

It is helping me a lot even after 10 years Thanks Patrick.

[@luyandakeswa5840]

You're a dope teacher man. God bless you!!!

[@wongaasive4080]

eita this is wonga keswa here is my number 0635147388 plz call me

[@user-re7hb1kj2f]

Mr Patrick ,you are the best ,thanks for this clear and easy explanation 🤝

[@peyo001]

Patrick you are golden! It is always a pleasure to hear you explain this stuff in you clam and clean voice. Thank you

[@patrickjmt]

thanks for the kind words :)

[@XtremeKillah101]

you save lives as much as a firefighter or a doctor.Thank you! :D

[@iraya92]

Only watched 2 minutes and you already answered my question! Thank you!

[@Theincapower]

Hey Patrick, I have watched almost all of your calculus videos. I am taking calculus III this semester and so far your videos have been great! In other words, I know calculus because of you! Thank you soooooo much!!!

[@akshaysingh4712]

this is awesome, my lecturer goes through pages and pages of book material about partial derivatives which no one in my class can follow, when it simply boils down to this.

[@patrickjmt]

@RaXaBBath thanks, happy that it helps!

[@Armando17717]

You should get a fields medal for teaching in 10 mins what a teacher tries to teach in 4 hours. Thank you :-)

[@LonghornBabe11]

So my Cal III professor sort of gives us topics and tells us to "Google it" you are saving my life (and my gpa) with these videos. I owe you my passing grade, lol THANK YOU SO MUCH.

[@patrickjmt]

thanks : ) someone asked for it (or close to it), so here it is!

[@tintran1856]

This guy has been my math professor for the past year now.

[@rrow8167]

Oh Patrick, what would I ever do without you? Thank you thank you.

[@RTX94]

I can't thank you enough. Mathematics is not exactly my strong point, and so this is like a Godsend. Thank you very much Mr.PatrickJMT

[@MaxOnTrack]

Patrick; I can't thank you enough.

[@joshuasteiner5568]

Great video. My textbook poorly explained the notation and this was extremely helpful.

[@Nebraska_ICT_Student]

You seem to clarify everything that's foggy for me in these videos. These videos are treasures!

[@patrickjmt]

@Theincapower u r very welcome!

[@yaluman.]

wonderful explanation

[@BryancMcBride]

God of calc. Patrick JMT.

[@snake10566]

There needs to be more teachers like you.

[@MaxedOutArab]

I have to say that. I FUCKING LOVE YOU.

[@loper9]

Im sure all of your guides will help me next year in high school. Eeek. Im sure ill be back to check out your videos for help. I know you helped my last year, so thanks again.

[@dancewithbel]

What is the graphical/conceptual understanding of a higher order partial derivative?

[@jenoharu]

thank you for all your videos! i passed my math subject last sem bc of your vids! love lots

[@mytwohands]

I know this is terrible, but I am nowhere near as worried when I miss my math class because I know I'm just going to come home and watch your videos anyway. It's totally enabling me, haha :D

[@AlmaHEADSTRONG]

Thank you so much for making these videos! If it wasn't for your explanations I dont think I'd ever understand math, so thanks!

[@nittayoshifumi8252]

Thanks! I have been struggling with this for a while.

[@hershhama7179]

i wish u were my instructor i did not get that subject before watching this video but now i can teach my classmates :D thanks

[@malickcamara5953]

You're amazing bro!keep up the good work

[@patrickjmt]

@Ducaale179 glad to help : )

[@azlani92]

you should start doing live question and answer session for students. You are that good!

[@JocoGorenc23]

Very helpful videos, much respect for all the time and effort put in.

[@johndawejko244]

You can actually take any path to solve for higher order differentials if the second order differentials are continuous: del(f), del(y), and del(x) from left to right or right to left AND del(y), del(x), del(x) from left to right or right to left will yield the same result. This is known as Clairaut's Theorem.

[@jenniferdenden2109]

Thank you, it saves me for tomorrow final examination!!!

[@dariog26]

@Theincapower im in the same position as you, and I as well have passed calculus (with A's in I & II) and its all thanks to patrick! Im in my third semester and planning on getting an A as well! Thank you so much for all the help you have provided to thousands like me to get A's in math!! btw im taking differential equations next if ur planning on posting some news vids on those, that would be awesome! :)

[@msbijja]

RESPECT TO YOU FOR MAKING THIS ST*T COMPREHENSIBLE!!!!!!

[@real01s.50]

Thank you bro ! I was having a hard time getting partial d. when exponential was part of the function!

[@mmwkoh]

I suggested your channels to my classmates and guess what? They keep saying "patrick said.." "patrick did.." you are very popular in our class lol

[@balikakamble1433]

thank you so much sir. these videos are so useful.

[@aznjet8]

Is there a way to determine how many nth-order partial derivatives a function with three variables has? So if I wanted to find out how many third order partial derivatives a function with 3 variables has would it just be 3^3 = 27?

[@Hirenpatel0593]

hey can you make one video on find the chain rule by given function of x & y (fundtion of u,v &w)and by given particular value of u , v & w

[@halligan89]

How come you've multiplied the first 36 in the late term by two please? I can't make sense of it.

[@atanggg]

you just saved my semester. thank you s/m 😭🙌

[@rolex408]

do u have an example of this but using chain rule. for example z=f(x,y) find second - order partial if x = r^2 + s^2 and y =2rs any second-order partial of f(x.y)

[@brianc2875]

Thank You! This helps me a lot with my self learning!

[@MaximaToluene]

for 3 variables there is at most 9 3rd order partial derivatives. but at some cases, some partial derivatives equal e.g. Fxyz(x,y,z)= Fzyx(x,y,z) depends on the function if equal or not.

[@lifewithdylan]

the new exam solutions for alevel

[@nusaibahhussain1060]

He's great, but he doesn't cover partial derivatives

[@AK-pr3xr]

do you have a video for higher order partial derivatives using chain rule

[@alyabdelsatar7722]

can u give an example of finding second partial derivative using chain rule ?

[@ahlamomer8253]

this helps a lot,thanks patrick

[@NexFuturex]

patrick you have high talent.thanks.

[@eshwarkarthikeya1570]

at 3min 2 sec why didnt u apply product rule to that term (xy) , may i know the reason , thank you

[@DJpix510]

This is a life saver, okay maybe just a grade saver, but still. Thanks a bunch

[@david_m157]

Would you please do some in Leibniz notation?

[@feeosh]

You save my life too much.

[@grandopening]

Good video once again Patrick !

[@AnongAlyas]

who knew calculus can be this sexy! you're my hero!

[@patrickjmt]

Awwwwwww baby

[@Peter-bg1ku]

@@patrickjmt the only geek chick magnet

[@jakelonefaith6303]

Awesome video man...... This video is a life saver.

[@tupacsomething69]

can you do a video showing applications of this?

[@Clouds095]

Great video. I find the notation here used f x y x ... Quite confusing at times. Why don't you use the delta notation instead? Just curious , it seems much nicer in my opinion. (At my university they use it)

[@mike11022]

Clouds095 Neither notation is confusing really. They are both quite ubiquitous. Just have to get used to them both.

[@atlroc99]

hey patrick thanks a lot for this video. it really helped a lot. Do u have any videos about "Increments & Chain rule" -two independent variables?

[@dorood]

you could mention the other kind of notation too... the notation with the ∂ sign.... for example ∂²z/∂y∂x .... its more confusing but its the one we use in calc II

[@kmank2l123]

Thanks so much! You are making math fun for me again :D

[@8888Duke8888]

always educational and well thought out!

[@ouzairhafeez]

Patrick ur an AWESOME teacher, God bless u man,Thanks!!! froM PakisTaN

[@garora10]

saved my semester !! Thanks man

[@d.dimitrov1130]

Absolutely Clear Way of explanation : ), Good job : )

[@abrahamsherura]

you have help mi soooooooooo much with my assignment thnxs mob nice explanations

[@ayanbhuyan9922]

Is there a first order mixed derivative?

[@joshuadimayuga2909]

Thank you so much! I hope to pass my examination! This helped like... a lot :)..

[@pinksincerely]

Hello Patrick. I'm here to ask something. I hope you can answer :) Because I just don't get it. What is the difference of total differentiation and total derivative?

[@louveeude8459]

What is the product rule ?

[@mocapuccinos]

beautifully clear

[@user-pf3vz3rd9h]

When we added 36 ye + 36 ye ,, why didnt we put a square to the y,, as in 72 y^2 e ??

[@guytrinboi]

+In Quest For Truth that only happens when you multiply the two terms. There isn't any multiplication, its just addition of the two terms.

[@FatsoMpyatona]

4:22 "Okay, *coughs in the background*"

[@barcafc198]

MASTER of calculus

[@diegocampoblanco97]

dude u r a gift from god himself!! thank you sooooo much!! your videos are so helpful!!

[@MissNickkieJ]

Amazing explanation!!!!

[@khairiyahkhirruddin2948]

thank you very much. you actually make math that i perceived like alien language to be quite simple and understandable.

[@electrichorror6642]

You are the man patrick you are the man!!!!!!!!! damn u man!! thanks heaps i hope you reach 1 million subs u deserve it

[@gewoonvictor3604]

The page on your website doesn't link to this video (dead link) ;) Great videos btw!!!!!