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Calculus: Higher Order Partial Derivatives
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- Опубліковано 28 лип 2009
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Calculus: Higher Order Partial Derivatives. In this video, I briefly discuss the notation for higher order partial derivatives and do an example of finding a 3rd partial derivative.
For more free math videos, visit PatrickJMT.com
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.
hahahahah flashbang lmfao i legit laughed out lout
Man it’s still working 6years later
saving calculus lives since 2009. thank you lord for this man :D
cool. now i know how to solve fxyyxxyyyyxxxyyx(x,y)
Sed life
Effortless & so relaxed. I would've never understood Partial derivatives if it wasn't for these amazing videos. BTW, u r an excellent teacher!
Mr Patrick ,you are the best ,thanks for this clear and easy explanation 🤝
Doing homework at home, online, and past midnight, and am so grateful for this video. Thank you!
glad it helps : )
i just need some better lighting now : )
You're a dope teacher man. God bless you!!!
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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.
@mb7733 well, you use them to find maximums and minimums of functions (for starters)
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thanks for the kind words :)
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
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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!
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thanks : )
someone asked for it (or close to it), so here it is!
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You should get a fields medal for teaching in 10 mins what a teacher tries to teach in 4 hours. Thank you :-)
Great video. My textbook poorly explained the notation and this was extremely helpful.
THANK YOU!!! I was stuck on part of this topic for hours and your video made me realize something vital. You are a legend.
@RaXaBBath thanks, happy that it helps!
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.
Oh Patrick, what would I ever do without you? Thank you thank you.
This guy has been my math professor for the past year now.
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.
Patrick; I can't thank you enough.
Patrick you are golden! It is always a pleasure to hear you explain this stuff in you clam and clean voice.
Thank you
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!
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What is the graphical/conceptual understanding of a higher order partial derivative?
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.
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wonderful explanation
God of calc. Patrick JMT.
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
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.
the new exam solutions for alevel
He's great, but he doesn't cover partial derivatives
you should start doing live question and answer session for students. You are that good!
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
Thanks! I have been struggling with this for a while.
You seem to clarify everything that's foggy for me in these videos. These videos are treasures!
@Theincapower u r very welcome!
Only watched 2 minutes and you already answered my question! Thank you!
You're amazing bro!keep up the good work
Thank you bro ! I was having a hard time getting partial d. when exponential was part of the function!
There needs to be more teachers like you.
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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?
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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
@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! :)
thank you so much sir. these videos are so useful.
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
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
How come you've multiplied the first 36 in the late term by two please? I can't make sense of it.
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!
Very helpful videos, much respect for all the time and effort put in.
you have help mi soooooooooo much with my assignment thnxs mob nice explanations
RESPECT TO YOU FOR MAKING THIS ST*T COMPREHENSIBLE!!!!!!
patrick you have high talent.thanks.
@Ducaale179 glad to help : )
Thank you, it saves me for tomorrow final examination!!!
can u give an example of finding second partial derivative using chain rule ?
Thank You! This helps me a lot with my self learning!
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Good video once again Patrick !
Thank you so much! I hope to pass my examination! This helped like... a lot :)..
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froM PakisTaN
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?
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)
Clouds095 Neither notation is confusing really. They are both quite ubiquitous. Just have to get used to them both.
Thank you so much for this video...
Most welcome 😊
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beautifully clear
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)
do you have a video for higher order partial derivatives using chain rule
at 3min 2 sec why didnt u apply product rule to that term (xy) , may i know the reason , thank you
can you do a video showing applications of this?
Nice leacturing skill you hv got there!!
always educational and well thought out!
How will I survive without you when I head over to linear algebra?? DX
Very informative, but I have one request. What about if you have this problem but instead of just e^(2xy) you have e^[(2xy)/(y-2)] for example. My professor gave that as our first homework for partial derivatives and said it's simple and he shouldn't need to explain it to us. I'm just confused because he literally said "Partial derivatives are just like derivatives just keeping the other variables as constants. I expect you as Calculus 3 students to easily solve these." Thanks for your time.
Really good stuff. Even math tutors are watching and learning from you! But you should read it as "f "sub" x" etc... Reading it as "f "of" x" sounds confusing...
MASTER of calculus
Absolutely Clear Way of explanation : ), Good job : )
You save my life too much.
xellent .......i'd appreciate if you post a example for function of functions.
Thanks so much! You are making math fun for me again :D
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This is a life saver, okay maybe just a grade saver, but still. Thanks a bunch
Would you please do some in Leibniz notation?
was really helpful to me... thanx
Amazing explanation!!!!
saved my semester !! Thanks man
The page on your website doesn't link to this video (dead link) ;)
Great videos btw!!!!!