Partial derivatives, introduction
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- Опубліковано 2 жов 2024
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Partial derivatives tell you how a multivariable function changes as you tweak just one of the variables in its input.
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3B1B, The way you say 'Tiny Nudge' is decipherable from the solar system away...Love you man....
Oh, it's that guy??
He's great!
Absolutely great man good content for mathematics love his channel keep it up
ITS 3B1B!???? Thats why his voice is so familiar!
i know a guy that explains things exactly like you. 3b1b, he is a cool guy
Thank you sir..for clarity explanation
He is Grant from 3blue1brown🥴
He worked for this platform before creating his own chamnel
@@muhammadarsamdanish6237 I think that was the point 😂
@@muhammadarsamdanish6237 thank you captain obvious
@@ViratKohli-jj3wj now i understand how virat kohil play balls in exact gap direction
😅😅😅
How seamlessly Grant adapts and emulates the step-for-step Sal explanation style when it comes to really explaining the math and algebra down to the most operative level (something Grant usually doesn’t do on his own 3blue1brown channel) just once again goes to show what a ridiculous multi layer genius this man is. I salute you, Sir! You’re a mastermind and a gift to math students all over the world.
3B1B you should start your own Math channel, you'll be successful
he is 😌
Hes successful now
I was hoping for a 3B1B video on this topic cuz I don't know anything about it and he explains things really well; needless to say it's a massive surprise to hear him on here! :D
*the nudge is far too familiar*
*_Why that 'nudge' feels familiar?_*
Tanishq hmmmmmmmmmmmmmmm
Becoz he's our mentor ,old mentor .I just love him .He's the most beautiful soulful guide of mathematical intuitions yes he's 3b1b
Hahahaaaa
As always, you've taken a subject which haunts some (me, 15 minutes ago), and made it feel intuitive.
3b1b ????? Exciting
Where can I see him?
Just face simply
Lol
7 years later and another electrical engineering uni undergraduate has been saved. +1 for simplicity. Really appreciate it.
Khan Academy strikes again, another great video. I wanted to refresh my understanding as to why a particular equation in my work is partial.
You have incredible teaching skill, when I watch 3blue1brown I can visualize everything, and see the purposes behind every math equation
I've learned more from this video than from my teachers a whole semester of uni. Thanks man
I'm taking Andrew Ng's machine learning course on Coursera, and when Andrew showed the equation for gradient descent, I was able to decipher what it meant thanks to Grant's intuitive approach of little nudges and visualization. Thank you Grant!!! You are a phenomenal teacher!
I'm taking the same ML course now, which brings me here too :D
I am here for the same reason
same reason!
oh my god the way that all of us are here from the exact same video is insane and needs to be studied expeditiously
How much do u want sal to know lol. Sal is not a god that knows everything, he can't make thousands of videos for free for you, at any level lol. He must find others who help. This guy is amazing, his technique helped a lot. In fact a new person helps you understand ways in a new idea so it makes a spark. Hence a lot of people like tutors..
Are you suggesting Sal doesn't know multivariable calculus?
Jared Ronning lol, second that
@@jaredronning3020 nah i guess s/he was just meant that its okay for sal to take help to peovide free educational videos, s/he was jist appreciating everything sal is doing
@@jaredronning3020 sal has a full BS in mathematics from MIT so idk how he would get that idea. Sal has a BS in Math, BS in EECS, MS in EECS, and an MBA.
@@ViratKohli-jj3wj ?
I used to think calculus was hard, now It's super easy, it's advanced geometry and stats that's really hard for me now. but next year I'm taking intro to math stats and some actuarial stats classes so hopefully I'll be able to get that under my belt.
paused at 9:48 for a couple minutes, and played it back again trying to find out why its was sin(y)...
HAHAHA
TIL that 3B1B did videos for Khan Academy.
Am I the one that thought that that parabola was the most beautifully drawn they have ever seen?
FREEHAND
You are a celebrity in math education on UA-cam, 3blue1brown. People love you.
OMG u r 3blue1brown
Thank you for the video! All of you friends are super awesome!
you can tell from his voice that he keeps his house spotless
LOL yes 😂😂
thanks, this simple stuff is killin me in physics because I haven’t taken calc 3.
math for me now has the same voice as grant Sanderson . Thanks grant for letting your knowledge flow and benefit others . May God be by your side
Amazing Teacher you are... my salute
omg i was so confused to hear grant sanderson
AAHAHAHAHAHHAHA IS THAT GRANT SANDERSON!?!??!
I love your conceptual approach to these problems. Thank you for this.
Good explanation
that an amazing explanation! Thank you
Its sooo good! Thank you!
Thanks! I missed this class and this video made it so easy to understand '^'
Amazing explanation!
explained better than my calculus professor THANK YOU
In case you were wondering, 1+cos(2) = 0.583853
Oh, my parallelepiped!
lollll
Great. Just great.
Based on the Leibniz notation, is it accurate to say that the derivative of a function f(x) is simply the differential of 'f' divided by the differential of 'x'?
Yes, but you can also say it's the ratio of change in f to the change in x, or the ratio of the change in output to a change in input. Same thing as dividing, but saying ratio is a little more intuitive imo.
thank you !
thank you so much
Organic chemistry tutor is the King
Watch the big difference in the number of displays betweeen this video and the previous videos! People know when something is usefull and when something is not ;-)
well explained my man
And how do the two partials relate to each other? What's the whole derivative?
Sum of them
See the video on gradients.
Thank you for sharing the post. It really helped me with my studies in Electrical Engineering. The visual representation did wonders for my understanding of derivatives. :-D
Since it’s a differential, technically shouldn’t df be the distance to the tangent line drawn at the spot marked rather than the actual function?
He's taking "df" as an abstraction for change in f rather than the literal differential. It might seem confusing, but it helps to get the idea without diving in the concept of the limit at first.
If you draw a line that passes through the (x,y) in the function before the change in x, and the point (x,y) in the function after the change, you get a slope between them, right?
When dx is not just any change in x and it's actually a derivative, meaning it approaches zero, the distance between them is so negligable that df is practically at the tangent. Both are interchangeable in this case, but they don't hold the same meaning, you see?
The distance to a tangent line is not the definition of what a differential is. It happens to be the case for 2 dimensions, but it doesn't help with higher dimensions.
Aggghhh! I wish you guys would've updated these videos in the beginning of the semester! My eyes had to suffer through Sal's 360p videos... But I do kinda miss Sal's smooth, jazzy voice. Luckily, this new guy get's the point across.
This new guy has his own channel named 3Blue1Brown
3 blue 1 brown
your fans recognize you
7:42 could of just went straight to that but thanks the stuff earlier did help me understand a little better
my honours in engineering is sponsored by khan academy and 3b1b
I have more examples like this on my channel if you want more practice!
Everybody's trippin over the new guy. I'm trippin over his straight lines. XD
His lines: ________
My lines _w-__-___-_---w_-_-_-_---____
they do not need such a fancy symbol for such a simple operation
Great Explanation :)
i love the way you explain things. Makes math so fascinating!!! :D
Grant Sanderson
I think the thing that is a little confusing for me here is the choice of variable y and x, with f(x) as the output. y is usually denoted as an output in the examples I've seen, but here it is just another input variable, that is also dependent on x? what is even more confusing is that on the graph, should it now show a 3d graph with x and y as the horizontal dimensions x and z and the vertical as the output? It would be great if someone could identify the cause of my misunderstanding
I like the explanation of notation however, very few videos do this, and they just jump straight in.
Your question is penomenal! I had thr same thought. If you have gotten the answer please reply back to me as well! Thanks
[edit]: Ok i am back with an explanation. You are right with your objection. But 3b1b is right too. The fact is that we all actually forget that there is a difference between IMPLICIT and PARTIAL differentiation. 3b1b is discussing partial differentiation here where the equation is defined via 2 or more variables and resultant curve is in 3 or more dimensions BUT implicit differentiation features only one function and one variable but the problem here is that the x variable and y variable are intact and cannot be separated therefore we use implicit differentiation to solve for tangentt line of the curve.
Hope this helped
@@ycombinator765 nailed it!
@@snackbob100 Thanks a lot! It feels good when someone appreciates you especially your Maths (I absolutely love it)
Thank you very much for the video. It was very helpful.
I have more examples like this on my channel if you want more practice!
that is good
he is just a great teacher ... I was watching his channel (3blue1brown) .. he makes complex things seem simple and intuitive! glad we have him here .. thank you
Good one
I have more examples like this on my channel if you want more practice!
I didn't understand a word 😭
Skill issue
@@not_so_epic_gamerbruhh
Watch professor leanord 's video and come back
Because the basics of calc are a prerequisite. Watch his (3B1B) calc series.
What wasn't understood?
Cute voice =)
I am used to Sal's voice. But you explained very well according to me.
So, I like you! And your voice is great as well. Although new.
Freya Saha Sal's voice was a bit deeper and I kinda got attached to that one
Check out 3blue1brown.
ben eater??? 3blue1brown??? breadboard computer guy???? the explaining math guy???????
Wait, i recognize this voice 😄😁
Please, save yourself some time and start watching this video from 8:00 min on. If you dont, you will never get the first 8min back... ever..
They have to cover their bases. Not everyone is going to watch these videos with the same background knowledge. And 8 minutes is not a lot to waste when you're learning calculus, this entire subject requires some patience.
well, this 10mins video is much better than 10 pages lecture notes and 1 hour lecture lesson from my uni
You need to get to the point faster....
I agree! I prefer Sal, although he tends to get a bit sloppy.
Why do I always get sleepy while watching math tutorials? XD
I have the same question!
I have the same question!
turn it up to x1.5 speed
Write down your own understanding and explanation on the paper and keep your mind active. It gives you the sense of achievement as well.
Drink coffee
Thank you soo much for the explanation. Really appreciate it :)
i just wanna see an example and how to solve it this confuses me
Its Grant Sanderson fromone of the best math channels.....3BLUE1BROWN
Thank you for the video:)
Grant, you left the ys in your partial derivative with respect to y red, when red was supposed to denote that we were pretending the variables were constants. What the heck man!!!!!
Don't like his approach. Beats around the bush too much as if he is explaining to himself, when the subject is much simpler when tackled directly. At one point drew X and f as parallel lines not realizing that in calculus f (output) is always orthogonal to its input
Thanks very much! so nice explanation!
nudge = perturb
i just realized this was 3B1B 3/4 the way into the video lol
Sounds like 3blue1brown
fantastic video explanation, very useful for high school mathematics
I have more examples like this on my channel if you want more practice!
@@ConquerTheCurve will surely check it out. If required
So is this symbol ∂ basically like dx/dy?
No.
What dx/dy would mean is "how x changes in proportion to how y changes" ;
Whereas what ∂f/∂x is saying is "how f changes in proportion to how x changes when all variables of f, except x, are fixed" (which could also be true to functions with more than 2 variables).
It's basically "how the rate of change of x in isolation contributes to the rate of change of f"
This video does introduce partial derivatives to me better than my school.
loved the explanation!
I have more examples like this on my channel if you want more practice!
3blue1brown?
3B1B······I also recognize that voice.
your writing and drawings are so clean 👌
4:40 This is exactly what I needed to know! ❤❤❤
I honestly watched this video to know the pronunciation of that curvy d 😐
Why does he sound so much like 3blue1brown?
The guy free-hands the curve perfectly😮
that helped a lot..thank you
ikr, i've been asking my teachers about it they said you'll this in PhD, i mean this is clearly understandable and helps alot when you solve problems
Yes exactly...i am doing these for the first time and this video really helped me
Could someone please redirect me to the next video?
I expected to find a 3b1b. I already knew that 3b1b worked in Khan Academy but I didn't expect to find it.
3B1B + Khan Academy = Boon for people
I swear this guy is the guy from 3Blue1Brown
3b1b in Khan Academy. Am I dreaming?
i understood nothing bad video find another one
If the 19th century brick and mortar educational model was a superior teaching process every student could receive an A+. The long history of education shows that this is not the case. To hide failings in the system the concept of grades is used to mask its flaws. If a 100% understanding of the material was required, students would drop out of the system and it would collapse financially. Instead of a system designed to pass information from instructor to student, the time honored educational process is treated as a sporting event. The major flaw in the 19th century system is there is no opportunity to rewind a classroom lecture until it is completely understood. If a student receives a B in a course the reality is that 20% of the material was not understood. Online courses, such as this one, offer the student a chance to understand all of the material.
david