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.
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.
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!!!
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
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.
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!
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.
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.
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!!!
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.
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.
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
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.
@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! :)
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.
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
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...
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.
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?
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)
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)
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!
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.
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!!!
thanks for the kind words :)
glad it helps : )
i just need some better lighting now : )
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
Mr Patrick ,you are the best ,thanks for this clear and easy explanation 🤝
you're a life saver ! I found your videos 2 days ago and have been addicted ! They've been very helpful !
Doing homework at home, online, and past midnight, and am so grateful for this video. Thank you!
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.
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!
Why are you so much better than every math teacher I've ever had?
thanks : )
someone asked for it (or close to it), so here it is!
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.
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.
You're a dope teacher man. God bless you!!!
eita this is wonga keswa here is my number 0635147388 plz call me
wonderful explanation
It is helping me a lot even after 10 years Thanks Patrick.
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!!!
Patrick you are golden! It is always a pleasure to hear you explain this stuff in you clam and clean voice.
Thank you
You should get a fields medal for teaching in 10 mins what a teacher tries to teach in 4 hours. Thank you :-)
This guy has been my math professor for the past year now.
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
You seem to clarify everything that's foggy for me in these videos. These videos are treasures!
Oh Patrick, what would I ever do without you? Thank you thank you.
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.
you save lives as much as a firefighter or a doctor.Thank you! :D
@mb7733 well, you use them to find maximums and minimums of functions (for starters)
Great video. My textbook poorly explained the notation and this was extremely helpful.
Only watched 2 minutes and you already answered my question! Thank you!
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
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.
@RaXaBBath thanks, happy that it helps!
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
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.
you should start doing live question and answer session for students. You are that good!
Patrick; I can't thank you enough.
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!
THANK YOU!!! I was stuck on part of this topic for hours and your video made me realize something vital. You are a legend.
Thanks! I have been struggling with this for a while.
I have to say that. I FUCKING LOVE YOU.
Very helpful videos, much respect for all the time and effort put in.
@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! :)
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.
There needs to be more teachers like you.
the new exam solutions for alevel
He's great, but he doesn't cover partial derivatives
God of calc. Patrick JMT.
What is the graphical/conceptual understanding of a higher order partial derivative?
You're amazing bro!keep up the good work
@Theincapower u r very welcome!
Thank you, it saves me for tomorrow final examination!!!
thank you so much sir. these videos are so useful.
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
Thank you bro ! I was having a hard time getting partial d. when exponential was part of the function!
Patrick ur an AWESOME teacher, God bless u man,Thanks!!!
froM PakisTaN
Awesome video man...... This video is a life saver.
thank you for all your videos! i passed my math subject last sem bc of your vids! love lots
Good video once again Patrick !
this helps a lot,thanks patrick
patrick you have high talent.thanks.
Thank You! This helps me a lot with my self learning!
you have help mi soooooooooo much with my assignment thnxs mob nice explanations
Absolutely Clear Way of explanation : ), Good job : )
you just saved my semester. thank you s/m 😭🙌
RESPECT TO YOU FOR MAKING THIS ST*T COMPREHENSIBLE!!!!!!
dude u r a gift from god himself!! thank you sooooo much!! your videos are so helpful!!
You save my life too much.
saved my semester !! Thanks man
@Ducaale179 glad to help : )
Thanks so much! You are making math fun for me again :D
This is a life saver, okay maybe just a grade saver, but still. Thanks a bunch
always educational and well thought out!
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
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?
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
can u give an example of finding second partial derivative using chain rule ?
How will I survive without you when I head over to linear algebra?? DX
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! I hope to pass my examination! This helped like... a lot :)..
MASTER of calculus
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...
beautifully clear
do you have a video for higher order partial derivatives using chain rule
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.
Don't know what I'd do without you... probably fail.
can you do a video showing applications of this?
Amazing explanation!!!!
Nice leacturing skill you hv got there!!
why do you so much respect
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?
You are the man patrick you are the man!!!!!!!!! damn u man!! thanks heaps i hope you reach 1 million subs u deserve it
Thank you so much for this video...
Most welcome 😊
@@patrickjmt wow it's amazing😄😄 😄 comment after 5 years then you replied😅😅
Patrick JMT thanks... soooo muuccchh... :D You really are so brilliant minds...
was really helpful to me... thanx
thank you very much. you actually make math that i perceived like alien language to be quite simple and understandable.
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.
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)