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Multivariable maxima and minima
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- เผยแพร่เมื่อ 16 ส.ค. 2024
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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.
My eyes went wide when I heard that voice 👌👌
same here
SAME
Ikr! I was like, "No way...!"
3Br1Bl
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
3blue1brown???
yes
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
Same guy, but a different site. He did Khan Academy videos before 3Blue1Brown
The legend Grant Sanderson
@@TheLeontheking
bahahahaha I have never seen this fact so elegantly stated.
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.
I already kind of understood this concept, but your video made it cristal clear.
Huge thumbs up dude!!
Great Explanation, Best thing this man is telling the application of topic in real life
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
explain local maxima and minima with example sir
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.
it's so helpful that you always start your lesson of with the application/the why of a mathematical subject.. nice!
Ooh yay! 3blue1brown is doing this vid!
You have another TH-cam channel right? Your voice sounds familiar
He's the voice of the channel 3Blue1Brown
Yaass I was wondering the same thing 😂
Why put the playlist for this series in the description? That would be too easy?
What's the program he's using to write stuff, it's so cool, it looks as if he was writting with chalk
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
Md. Azmir Ibne Islam he write it himself github.com/3b1b/manim
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.
Grant is God of math!
The commentator in this video is Grant Sanderson, whose most famous TH-cam channel is 3Blue1Brown.
What is the exact definition of the function that is graphed here, can you share?
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.
Great Explanation...
Video starts at 2:00
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
i need the formula for this function
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?
Explain a example sir
Does anyone know what software is used for the Graph visualizations ? It would be very helpful for my Graduate courses.
Best man
awesome!
why is a saddle point "new" in multivariate? wouldn't for example x=0 for f(x)=x^3 also kinda count
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
I think you're referring to inflection points (single variable) or saddle points (multivariable).
*It's Grant*
OMG ITS 3B1B
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.
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).
video starts at 1:57
wait what is called then at the point 0 of x^3 then in single variable calc?
It s my first time watching this video, but i feel like i know this voice
Hes 3b1b
But what is the equation of this surface?
3 blue one brown?
What is 3b1b doing here
does this episode/video belong to a playlist ?
th-cam.com/play/PLSQl0a2vh4HC5feHa6Rc5c0wbRTx56nF7.html
3blue1brown yay !!
Is this 3blue1brown??
Say his name: Grant Sanderson
where did you get your 3d Grapher?
I think he programs it with python.
@@shayanmoosavi9139 no he said some manim or something like that
@@shanmukeshr1696 manim is a python library that he wrote himself.
You sound just like 3blue1brown
Hi 3b1b
Is it grant sanderson
Yes
See description
first to comment!! :)
First to reply :P
:)
Where is salman khan
you need to start getting straight to the point in your videos
abbie9777 Some of us like slow, gradual, inductive explanations
If you just want formulae go and buy a formula book. The intuition for these things are which are really more important.
if you just need the formulae then why tf are you on khan academy you idiot