Multivariable maxima and minima

Тәжірибелік нұсқаулар және стиль

Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacademy.org/math/mult...
A description of maxima and minima of multivariable functions, what they look like, and a little bit about how to find them.

Пікірлер: 82

  • @elgatito00
    @elgatito003 жыл бұрын

    My eyes went wide when I heard that voice 👌👌

  • @shubhambhavsar6933

    @shubhambhavsar6933

    3 жыл бұрын

    same here

  • @dominic8599

    @dominic8599

    2 жыл бұрын

    SAME

  • @syra9806

    @syra9806

    2 жыл бұрын

    Ikr! I was like, "No way...!"

  • @nadiransari6656

    @nadiransari6656

    Жыл бұрын

    3Br1Bl

  • @mathalysisworld6693

    @mathalysisworld6693

    Жыл бұрын

    same yar

  • @razywazy7271
    @razywazy72715 жыл бұрын

    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

  • @danielc4267
    @danielc42677 жыл бұрын

    You deserve so many more views

  • @bobseagull7600
    @bobseagull76006 жыл бұрын

    I already kind of understood this concept, but your video made it cristal clear. Huge thumbs up dude!!

  • @zubiyamoin6289
    @zubiyamoin62892 жыл бұрын

    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.

  • @plpm
    @plpm6 жыл бұрын

    it's so helpful that you always start your lesson of with the application/the why of a mathematical subject.. nice!

  • @sahajjitsingh5480
    @sahajjitsingh54803 жыл бұрын

    Great Explanation, Best thing this man is telling the application of topic in real life

  • @constantine495
    @constantine4952 жыл бұрын

    Does anyone know what software is used for the Graph visualizations ? It would be very helpful for my Graduate courses.

  • @tomandsally
    @tomandsally4 жыл бұрын

    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

  • @lisamonalisa4260
    @lisamonalisa42604 жыл бұрын

    What is the exact definition of the function that is graphed here, can you share?

  • @pareenmehendi4991
    @pareenmehendi49916 жыл бұрын

    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.

  • @karthiksukumaran85
    @karthiksukumaran854 жыл бұрын

    Great Explanation...

  • @thomasbeimrohr6685
    @thomasbeimrohr66856 жыл бұрын

    3blue1brown???

  • @randomguy75

    @randomguy75

    6 жыл бұрын

    yes

  • @TheLeontheking

    @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

    @DieselBoulder

    4 жыл бұрын

    Same guy, but a different site. He did Khan Academy videos before 3Blue1Brown

  • @KodamatiUdayaPrabhuKiran

    @KodamatiUdayaPrabhuKiran

    4 жыл бұрын

    The legend Grant Sanderson

  • @AxanLderE

    @AxanLderE

    4 жыл бұрын

    @@TheLeontheking bahahahaha I have never seen this fact so elegantly stated.

  • @unpaintedcanvas
    @unpaintedcanvas6 жыл бұрын

    Ooh yay! 3blue1brown is doing this vid!

  • @ZiaKhan-zi9sm
    @ZiaKhan-zi9sm6 жыл бұрын

    explain local maxima and minima with example sir

  • @fredesch3158
    @fredesch31582 жыл бұрын

    What's the program he's using to write stuff, it's so cool, it looks as if he was writting with chalk

  • @damian.gamlath
    @damian.gamlath6 жыл бұрын

    Grant is God of math!

  • @l3nn13
    @l3nn133 жыл бұрын

    wait what is called then at the point 0 of x^3 then in single variable calc?

  • @onesun3023
    @onesun30234 жыл бұрын

    Why put the playlist for this series in the description? That would be too easy?

  • @mevadeva1397
    @mevadeva13972 жыл бұрын

    why is a saddle point "new" in multivariate? wouldn't for example x=0 for f(x)=x^3 also kinda count

  • @entropyz5242
    @entropyz52427 жыл бұрын

    You have another KZread channel right? Your voice sounds familiar

  • @blackheart2728

    @blackheart2728

    7 жыл бұрын

    He's the voice of the channel 3Blue1Brown

  • @elgatito00

    @elgatito00

    3 жыл бұрын

    Yaass I was wondering the same thing 😂

  • @andrewadvani1011
    @andrewadvani10116 жыл бұрын

    does this episode/video belong to a playlist ?

  • @gnikola2013

    @gnikola2013

    5 жыл бұрын

    kzread.info/head/PLSQl0a2vh4HC5feHa6Rc5c0wbRTx56nF7

  • @eamonnsiocain6454
    @eamonnsiocain6454 Жыл бұрын

    The commentator in this video is Grant Sanderson, whose most famous KZread channel is 3Blue1Brown.

  • @nyctophilic1790
    @nyctophilic17903 жыл бұрын

    i need the formula for this function

  • @evanparshall1323
    @evanparshall13233 жыл бұрын

    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.

  • @stalinglad
    @stalinglad3 жыл бұрын

    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

  • @debjyotichattopadhyay6679
    @debjyotichattopadhyay66795 жыл бұрын

    Best man

  • @luvley5323
    @luvley53234 жыл бұрын

    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?

  • @poiuwnwang7109
    @poiuwnwang71099 ай бұрын

    awesome!

  • @md.azmiribneislam6885
    @md.azmiribneislam68855 жыл бұрын

    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

    @valerianmp

    5 жыл бұрын

    Md. Azmir Ibne Islam he write it himself github.com/3b1b/manim

  • @ronaldjensen2948
    @ronaldjensen29484 жыл бұрын

    But what is the equation of this surface?

  • @ZiaKhan-zi9sm
    @ZiaKhan-zi9sm6 жыл бұрын

    Explain a example sir

  • @fitriazusni2655
    @fitriazusni26552 жыл бұрын

    It s my first time watching this video, but i feel like i know this voice

  • @zairaner1489
    @zairaner14897 жыл бұрын

    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

    @Alex-io4jy

    6 жыл бұрын

    I think you're referring to inflection points (single variable) or saddle points (multivariable).

  • @IrrationalDelusion
    @IrrationalDelusion4 жыл бұрын

    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.

  • @zichen8678
    @zichen86784 жыл бұрын

    where did you get your 3d Grapher?

  • @shayanmoosavi9139

    @shayanmoosavi9139

    4 жыл бұрын

    I think he programs it with python.

  • @shanmukeshr1696

    @shanmukeshr1696

    3 жыл бұрын

    @@shayanmoosavi9139 no he said some manim or something like that

  • @shayanmoosavi9139

    @shayanmoosavi9139

    3 жыл бұрын

    @@shanmukeshr1696 manim is a python library that he wrote himself.

  • @anupama990
    @anupama9903 жыл бұрын

    Video starts at 2:00

  • @gnikola2013
    @gnikola20135 жыл бұрын

    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

    @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).

  • @kashika4989
    @kashika4989 Жыл бұрын

    3 blue one brown?

  • @bradleysebastian9982
    @bradleysebastian99824 жыл бұрын

    *It's Grant*

  • @wheatlysparble7900
    @wheatlysparble790010 ай бұрын

    OMG ITS 3B1B

  • @andrewtran3225
    @andrewtran32255 жыл бұрын

    video starts at 1:57

  • @Virtualexist
    @Virtualexist4 жыл бұрын

    3blue1brown yay !!

  • @Kevin-cy2dr
    @Kevin-cy2dr4 жыл бұрын

    You sound just like 3blue1brown

  • @stephend.4342
    @stephend.43422 жыл бұрын

    Say his name: Grant Sanderson

  • @sneett7670
    @sneett7670 Жыл бұрын

    Is this 3blue1brown??

  • @MoguMogu818
    @MoguMogu8189 ай бұрын

    Hi 3b1b

  • @balakrishnanganesan2511
    @balakrishnanganesan25114 жыл бұрын

    Is it grant sanderson

  • @leophysics

    @leophysics

    4 жыл бұрын

    Yes

  • @leophysics

    @leophysics

    4 жыл бұрын

    See description

  • @apoorvagarwal633
    @apoorvagarwal6337 жыл бұрын

    first to comment!! :)

  • @sumitchauhan3951

    @sumitchauhan3951

    7 жыл бұрын

    First to reply :P

  • @apoorvagarwal633

    @apoorvagarwal633

    7 жыл бұрын

    :)

  • @alinawazalinawazbaloch9697
    @alinawazalinawazbaloch96976 жыл бұрын

    Where is salman khan

  • @abbie9777
    @abbie97777 жыл бұрын

    you need to start getting straight to the point in your videos

  • @adamfitchett1381

    @adamfitchett1381

    6 жыл бұрын

    abbie9777 Some of us like slow, gradual, inductive explanations

  • @nagarmalsharma9992

    @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

    @rishabharora4652

    5 жыл бұрын

    if you just need the formulae then why tf are you on khan academy you idiot

Келесі