Multivariable maxima and minima
Тәжірибелік нұсқаулар және стиль
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A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them.
Пікірлер: 82
My eyes went wide when I heard that voice 👌👌
@shubhambhavsar6933
3 жыл бұрын
same here
@dominic8599
2 жыл бұрын
SAME
@syra9806
2 жыл бұрын
Ikr! I was like, "No way...!"
@nadiransari6656
Жыл бұрын
3Br1Bl
@mathalysisworld6693
Жыл бұрын
same yar
A very thorough explanation. I'm so glad that there is a 3D sketch to show what you're talking about. It really helps :D
You deserve so many more views
I already kind of understood this concept, but your video made it cristal clear. Huge thumbs up dude!!
Literally every video i came across on video just taught how to solve questions... It is only you who is concerned about explaining the applications and making us understand the concept That's the kind of teachers the world needs.
it's so helpful that you always start your lesson of with the application/the why of a mathematical subject.. nice!
Great Explanation, Best thing this man is telling the application of topic in real life
Does anyone know what software is used for the Graph visualizations ? It would be very helpful for my Graduate courses.
I'm trilled even I watch it for the twice time after 1 year........ thank you 3blue1brown for bringing me the beauty of multivariable calculus
What is the exact definition of the function that is graphed here, can you share?
I am a Msc chemistry student and now thinking that why I have not seen these videos in my Bsc. I may scrore an excellent grade in my subsidiary mathematics. However it's really good and thanks.
Great Explanation...
3blue1brown???
@randomguy75
6 жыл бұрын
yes
@TheLeontheking
5 жыл бұрын
For the set of videos on khan-academy S we define the rule that if a video v that is an element of S has the property of being made by 3blue1brown, the number of comments k indicating that property shall be in the range 1
@DieselBoulder
4 жыл бұрын
Same guy, but a different site. He did Khan Academy videos before 3Blue1Brown
@KodamatiUdayaPrabhuKiran
4 жыл бұрын
The legend Grant Sanderson
@AxanLderE
4 жыл бұрын
@@TheLeontheking bahahahaha I have never seen this fact so elegantly stated.
Ooh yay! 3blue1brown is doing this vid!
explain local maxima and minima with example sir
What's the program he's using to write stuff, it's so cool, it looks as if he was writting with chalk
Grant is God of math!
wait what is called then at the point 0 of x^3 then in single variable calc?
Why put the playlist for this series in the description? That would be too easy?
why is a saddle point "new" in multivariate? wouldn't for example x=0 for f(x)=x^3 also kinda count
You have another KZread channel right? Your voice sounds familiar
@blackheart2728
7 жыл бұрын
He's the voice of the channel 3Blue1Brown
@elgatito00
3 жыл бұрын
Yaass I was wondering the same thing 😂
does this episode/video belong to a playlist ?
@gnikola2013
5 жыл бұрын
kzread.info/head/PLSQl0a2vh4HC5feHa6Rc5c0wbRTx56nF7
The commentator in this video is Grant Sanderson, whose most famous KZread channel is 3Blue1Brown.
i need the formula for this function
This video makes sense but I have one follow-up question. In previous videos you describe the Laplacian as the divergence of the gradient such that points with larger Laplacians correspond to peaks (covergence) and smaller Laplacians correspond to valleys (divergence). So then why is it the case that the local minima and maxima correspond to points where the gradient is equal to zero? From what I understand, if the gradient is equal to zero, the Laplacian would also be equal to zero. To me, these two concepts seem to contradict each other, but I must not fully understand.
10 seconds in IS THAT 3B1B "a common thing you wanna do with an *animal* like this" i.. my sides. why you gotta put me on such an emotional rollercoaster within 10 seconds grant
Best man
Omg it makes sense that the gradient = 0 not just notationally but conceptually too since the gradient is the direction of steepest ascent and so if it equals the zero vector it must mean no direction leads to an ascent but what does this mean for minima?
awesome!
Awesome discussion ... Really it's praiseworthy ... But I have a question if you don't mind... and the question is - Would you please provide me the information which software are you using for this type of animation ? Waiting eagerly for your reply
@valerianmp
5 жыл бұрын
Md. Azmir Ibne Islam he write it himself github.com/3b1b/manim
But what is the equation of this surface?
Explain a example sir
It s my first time watching this video, but i feel like i know this voice
But you can have points with derivative zero which are neither maximum nor minimum in single variable calculus too, can't you? Like x^3 in zero for example
@Alex-io4jy
6 жыл бұрын
I think you're referring to inflection points (single variable) or saddle points (multivariable).
Honestly, I barely understand anything. Because my country educational system forced me to learn it. Entry level for this topic is somewhat big.. But that's all down to positive neuron connections. And brain fog and of course nutrients and of course inherent combination of genes and of course the view of consciousness and of course psychological stability and of course current time and skill ceiling and of course the code of nature.. Why would you be reading such comment here? Don't doubt, just question.
where did you get your 3d Grapher?
@shayanmoosavi9139
4 жыл бұрын
I think he programs it with python.
@shanmukeshr1696
3 жыл бұрын
@@shayanmoosavi9139 no he said some manim or something like that
@shayanmoosavi9139
3 жыл бұрын
@@shanmukeshr1696 manim is a python library that he wrote himself.
Video starts at 2:00
Hmm, I don't really think that saddle points are a new thing to multivariable calculus. Maybe in single variable calculus you don't have the shape of a saddle, but there are points in a graph where the tangent line has a slope of cero without being maxima or minima. For instance the point (0,0) in the graph of f(x)=x^3.
@karthikn7624
Жыл бұрын
A saddle point is when a function is min along one direction and max along another (at that point). Not a point where the function is flat, like the case of x^3. Think of the shape of a pringle (or a saddle xD).
3 blue one brown?
*It's Grant*
OMG ITS 3B1B
video starts at 1:57
3blue1brown yay !!
You sound just like 3blue1brown
Say his name: Grant Sanderson
Is this 3blue1brown??
Hi 3b1b
Is it grant sanderson
@leophysics
4 жыл бұрын
Yes
@leophysics
4 жыл бұрын
See description
first to comment!! :)
@sumitchauhan3951
7 жыл бұрын
First to reply :P
@apoorvagarwal633
7 жыл бұрын
:)
Where is salman khan
you need to start getting straight to the point in your videos
@adamfitchett1381
6 жыл бұрын
abbie9777 Some of us like slow, gradual, inductive explanations
@nagarmalsharma9992
5 жыл бұрын
If you just want formulae go and buy a formula book. The intuition for these things are which are really more important.
@rishabharora4652
5 жыл бұрын
if you just need the formulae then why tf are you on khan academy you idiot