❖ Finding Partial Derviatives ❖
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- Опубліковано 20 вер 2024
- In this video we look at finding partial derivatives in calculus.
I show three examples of finding all the partial derivatives for a given function.
The main idea is that to find a partial derivative we are taking a derivative with respect to a particular variable. Mechanically what we are doing is we treat all other variables besides the one that we are taking the derivative with respect to, and we treat those variables like constants when finding the partial derivative.
This is a topic that one would encounter in multivariable calculus.
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This guy explains my 3 hours study in 7 mins
Same here!
This guy is free and way better than a $20k university who don't teach ...Then exams are 10x harder than HW..
Omg true
Its because you already studied 3 hours.
@@theduke7243 TRUEE
It is just astounding how professors can't get it across this way...2 hour lectures and what not of gibberish.
usually that gibberish is the proof and derivations; it is important if you are in a math class; some of those people in there might actually be math majors...
I'm a math major and when they proof it, it goes right over my head.
join the crowd, that is how it goes. they are still obligated to go over that stuff. my advice is to go through the section the day before and try to understand as much of the proof as you can. of course, no one actually does this because it is very time consuming... (expect people like me)
Lol and we greatly appreciate you taking the time out to comprehend the material. But I'll try looking over the material the class before and see how that works out for me. Keep up the great work!
well seriously, the proofs are the hard part but it would be a disservice if the profs did not go over them. there is no way that 3 hours a week in class can make this stuff clear; there is a ton of work to do outside of class. i am always shocked though that math is a subject where you are not expected to read the material beforehand and yet somehow understand it. as someone who went through it, read the material before. you wont get it all but class time will be so so much more productive
i try my best! glad it helped : )
Thanks a lot sir
@@WaleedAsif No
I have no idea what you said to make this concept click--- but CLICK!!!!! thank you so much I'm going to rock my test on Monday!!
Melissa Melko magic!
+patrickJMT Same here. Every book and explanation just yells at me 'Hold It Constant!!', now I know what that actually means. Thanks heaps
+Melissa Melko lolx :D
I get it after first video
Love you
hey Patrick I just came here to say thank you for all your videos man, Im taking my civil engineering licensure exam and I just drop by here to check some of your stuff and I feel nostalgic to those nights when I struggled understanding some stuff and your videos were there to help. love from Philippines!
Two of my calculus professors told us to watch your videos before attending lecture! One was for parametric equations and the other was for finding the determinant of 3x3 matrix. I think the math department at my school is on to you.;)
I had already been watching your videos for a year. You especially helped me in physics. My prof sounded like crickets chirping, so it was really hard to understand and I would space out eventually. One time I remember I was overjoyed when some test questions were almost identical to your videos. Thank you!!
glad they like my videos!
It's 2019 27jun still helping
Its Sept 16 still helping ♥️♥️💯
Still helping
still heping
Patrick.. I can't thank you enough. I thought I would spend at least 2-3 hours on each lesson just to grasp the concept .However, it only took me 20-30 minutes to grasp each one and give me confidence to tackle my homework questions thanks to you. I've watched all your calculus videos connected to my course and I am very happy with the results. I planned my studies for two weeks and it only took me 5 days to finish understanding the entire course lol! Very confident about my exam now. Cheers :D
Your 1000 practice problems book got me through the first two semesters of Calculus. Thank you for the problems that always seem to appear on tests but not in the textbook
glad to help! : ) i just wish that i had been around on youtube when i was taking calculus...
16 years ago, man this is crazy. i do love old calcs yt videos
this video came out 11 years ago, but every time I need to brush up on anything that has to do with math for my engineering courses I come rushing to you @patrickJMT. You're amazing!!
thanks joseph!
13 years old and still one of the best, if not the best, videos for self-study. Thank you so much!
I've been watching you for 3 years Patrick. You basically took me through first year engineering maths. Thanks you.
This helps me. I'm taking Micro Econ Intermediate and I never learned about partial derivatives, and my professor doesn't really know how to teach us (though he is very smart). Thanks!
I got through it, though it felt like every exam I took was a mental ass-beating.
Same. I'm doing Managerial Econ in year 3 (scored 88 in Micro and 80 in Macro, yr 1 & 2 respectively, but not great at math). Practice makes perfect, despite a lecturer who expects you to know all this stuff.
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dud.. you jst saved me... i got my calculus finals today... couldnt get anything from my proffessor.. tank you much!! peace..!
could only find super overcomplicated stuff on this then came across this video and explains it in minutes. cheers man
Thank you for all the effort you put in these videos. They not only brought some light upon math concepts but also changed the way I approched the problems. Very much appreciated!
very happy to help :)
Taking a microeconomics theory with calculus class, and it's been about a year since I've had a calculus class. Thanks for making these videos, it's helped me brush up on what I had forgotten.
Thanks again for making these videos.
I'm trying to learn deep learning and it includes lots of linear algebra and derivatives. I forgot all my calculus and never learned linear algebra. Watching your videos helped me to get through tons of concepts with ease that I otherwise would've had to open a textbook or take a class to learn. Thank you so much patrickJMT, you are making such an impact on us!
I just spent 2 hours screaming at my textbook and lecture notes.. yet, your 7 minute video is what helped me figure it out.
GOD BLESS YOU SIR! GOD BLESS YOU.
thank you Patrick for taking this presentation nice and slow. I am trying to get back into this after many years. your careful presentation is much appreciated and much needed. Most presenters are just running thru stuff . Basically just showing off or reciting in a straight line not caring how many listeners are turned off or demoralized. You seem to actually care. you are a good teacher. God Bless for caring!!!
I have been sitting for hours staring at my notes and book until my eyes got bloodshot red and I still did not understand partial derivatives until I saw this video! I swear some Professors just want to complicate things for you so that you can be as unhappy as they are. Thank you so much for simplifying everything!!!
10 years later and still saving my life
never before have i subscribed to a math channel on youtube. This channel is well done and very worth it to me. thank you
This is awesome: I study business administration, and our math requires only exercises & business-economical applications. and STILL my professor can't explain it clearly. Thank god I found this channel in time for my exam in 2 days...Please come and teach at my university here in Belgium :D
Seriously I didnt get the concept in my academic class but u made it so easy to understand by simple examples. It now feels like a piece of pie
Thanx a lot buddy
Nicely done. Great teaching. I am an engineering student, and i did not understand this topic when my teacher taught me. But now its clear. Thanks.
Really without u patrick , i wouldnt got 94 for the 1st clac 3 exam!
and i told all my friends about ur channel really u are a great man whos welling to give lecture for free!
i wll be watching your lesson till i wil be a mathematic
glad it helps.
every once in a while i will have a economics student who tells he that he/she hates math... i just sort of give a blank look back...
i literally tell ALL my friends about your videos, seriously not worth going to class when youre available man thank you.
i have a calc exam today and im just watching all your videos and its so easy to understand thanks again.
Summed up perfectly. No overcomplication, straight to the technique.
You earned a sub. 😁
thanks ;)
aaay 2021 and your vids still out here working and helping me revise. thank you.
Just take this I NEEDED THIS FOR MY CARRER TYA KSS 14 YEARS AGO BUT STILL HAS SOME FIRE IN EXPLANATION
You my boy Patrick. I would likely be failing this year if it wasn't for your wisdom. You are a Scholar and a Gentleman sir.
no word of lie, I was struggling on a problem for at least an hour.. watched your video and got it on the next attempt. You're the man, I'll be watching more of your videos come exam time.
Can I just say U HAVE THE BEST HANDWRITING OF ANY DUDE I KNOW??!?!?! oh and btw u saved my tush on this
ive been watching your videos for years now, you are the best and id prob be failing without you man thank you
Patrick, the service you are giving goes far beyond the magnitude of gratitude. Simply superb Job...
You have had a significant impact on many people and their exam scores, spreading knowledge is amazing
hopefully for the best!
I watch these videos before my calc lectures to have some sort of preview. I feel like i basically learn what I need to learn. You are the meaning of life, Patrick!
dude! you seriously are the best teacher ive ever had.. i dont even bother go to my lectures any more lol
Thanks for the easiest way to solve this partial problem as in my book their is in long way. Veey thanks
job well done, i really took time to login and comment just to say thanks! you explained my 2 days of study in just a few minutes
oh god
you just saved my math ass
thank you so much
Thanks, my physics professor didn't bother teaching us this at all and calc is not a pre-req. All he had to do was the first 1 minute of this video, litterally that is all I needed to get the concept. Man, I wish my physics professor would actually teach us instead of us teaching ourselves.
The other day, I was in Calc class and someone mentioned Khan Academy. I told him, "Nah man, PatrickJMT on UA-cam is the one you want." Then *two* other students backed me up!
Man youre wayy better at explaining and teaching than my calc 3 professor, I really appreciate your help!
Bro! Thank God.. Best and simplest explanation ever! Keep up the good work!
excellent! that is my goal: simple, but not too simple!
thank you so much it helped me like crazy, after watching how you solving my hand just ran on the paper, god bless you, i am an engineer now but still i refer to your teaching
Patrick, I've been with you since 10th grade. You're awesome.
you in 11th grade now? :)
Ha ha. 10th grade was actually like 11 or something years ago, but I’m currently two more semesters away from finishing my BS in Economics! Thank you so much for all of your help and teaching talent!
I passed my first term university calculus because of your videos and now i'm in term 2 and i'm loving your videos!
Thanks!
@saran00000 no worries, i do not mind. but, if i have to go over the power rule for someone to understand this, this video is waaaay beyond what they should be watching. it is like watching a video on advanced physics and saying: what is a proton?
i love how simple you make understanding these concepts! my lecturer could learn a lot from you!
Ig she is working in the kitchen now
Great video! If only my cal 3 teacher could explain things like this instead of wasting an hour and 15 minutes of my day twice a week...
i like this left handed mathematician you helped me alot through my economics studies
thank you so much! I was working with clasmates trying to figure out how to do this and we spent all afternoon at it still not totally clear. this video explained it very well it makes total sense now! You're awesome!
Thank you so much! I have a test tomorrow and my calculus prof never did taught anything that i can understand so this is sooooooo much helpful in my case.
Thank you! My physics prof just said we're supposed to know how to do partial differentials and never even taught it to us
you teach what my professor cant teach in 45 min. You're the best.
You made me pass calculus 2, and made me get a 15/20 in my first calculus 3 exam (I messed up on one exercise). You rule, thank you very much!!
I watched this video 1 hour just before my final , and it really helped ! thank you for sharing your knowledge :)
I finally understand. Thank you so much man! You teach way better than my professor!
yes, you would actually use them.. i am just trying to use colors to show what has changed to hopefully break it up visually!
wow i am a social science major with only algebra as background and i had to take an engineering class as to improve my skills in transportation planninbvg. i used these videos and aced my homework.!!
God bless you! Calc is the only class I'm struggling in and my professor is horrible.
You, my friend, are awesome! Thank you for making this so simple.
been a long while since I've done this, awesome explanation! quick and clear.
So simple... yet everyone makes it so hard. Thanks
thank god for blessing us (desperate calculus students) with u, ur a life saver. god bless u sir :D
Wow! This is magic... I can understand this :) I remember learning this about 20 years ago in the Calculus class but never understand it. I was just lucky to able to pass the exam that day!
The dx of any constant is 0. dx(3) = 0 dx(2.0542689)=0 dx(523)=0.
When you are taking the derivative with respect to x, y is a constant - like the numbers above. It can be any number, but it's a NUMBER, where as x is a variable.
This can be switched when you take the derivative with respect to y. X is now the number.
@patrickJMT i think saran000 is using a sketchy online translator, he means it will be easier for starters haha. and he also was looking for the word 'really' as opposed to 'literally'. i will also take this opportunity to tell you your videos are consistently the best math tutoring vids on youtube. thank you sir
I always feel so left behind in math class. Thank you for answering my questions better than my professor!
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I must say you simplified this so much for me. I could not be more thankful I figured this out!
its constant because we are finding the derivitive in terms of x (along the x line), so therefore the y and z terms become constant. same when looking at only y and only z
Man this video was a life saver
Note to self: don't start an IQA assignment the night before its due when you haven't been to a lecture all year..
So silly me, I forgot to do the product rule, and my brain was going to explode trying to figure out these ln problems for my exam. Thanks a million
thaaanks.. your videos are helping me pass my differential calculus subject!! and i'm an engineering student.. :)
still one of my favourite tutors
im gonna give this video a like still, stopped selling drugs and headed to uni to study but the lectures fucking long , you are genius you kniw what im saying you good explain and that you save a nigga's life
good luck in your studies!
i had moments of doing things that i 'should not have been doing' and i reexamined my life and made better choices. i'm happy with how it all turned out so: study hard, good things come to those who make opportunities for themselves.
Patrick please keep making videos in multivariable calculus!
A constant will only go away when you try and take the derivative of it. In the first step he took the derivative with respect to r. In the second step he took the derivative of ln, and in the final step he took the derivative of (r^2+s^2). By then, he was taking the derivative of s^2 which becomes a 0.Thats why it isn't always 0. It has to be derived in order for a constant to become 0.
This guy deserves a million subscribers
Wow.... thanks so much! I just wish I would have found out about you last week, but I'm glad I found it out now, a week before the exam.
excellent refresher; I use this in microeconomic modeling
@zarp29 The derivative of a constant term is 0. If you imagine a constant term as a function by itself it is a horizontal line, so its rate of change is 0. With partial derivatives, you treat some variables as constants. So, when they are the only variable in a term, the derivative of that term is 0.
now dis a dude i like,patrickjmt,u gona teach me maths till i graduate man
@DJFistOfCurry I got it!! because when your holding a variable as a constant, its easier to visualize if you just put a constant there.. like y is 5 and x is 77 or something, so when your taking the derivative with respect to y you would really have x 5^2 z^3 therefore y would be 0, if you take the derivative of 5^2 its 0.
Bo Patrick! I'm sure that every Math student in the world loves you!
Thankyou soo much! So much more helpful then my stupid lecturers and tutors! Keep up the great work
I don't do these in English but I'll try to explain:
Since there is xy^2z^3 in the first part which include x, and 3yz in the second part which doesn't include x, the first part, it is able to derivative it as it includes x, and it'll result with y^2z^3 (as y and z are counted as constants), just like you would imagine derivativing 3x which results as 3.
As for 3yz, since x is not included, it is only counted as a constant and fx a constant would be 0.
Hope it helped. :]
You saved me and my economics grade. My angel for the day!!!
You played a very significant role in me scoring an A on my Calculus II Midterm. Thank you!
You explain concepts far better than my college professor. Thanks for the help
cuz of this guy I can miss lectures and study at home :)
Man when this video was made I was in pre algebra. It's been a long time coming in math
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you make this math thing so easy,thanks bro
Taking differential equations. Professor tried explaining partial derivatives. I didn’t follow. Thanks for the concise explanation!
my pleasure :)