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Introduction to 3d graphs | Multivariable calculus | Khan Academy

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Three-dimensional graphs are a way to represent functions with a two-dimensional input and a one-dimensional output.
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Опубликовано:

29 авг 2024

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Комментарии : 140

@hz6612 4 года назад

Im learning math through internet and i love it so muuuuuch

@darkseid856 4 года назад

Same

@dontreadmyusername6787 2 года назад

I mean i agree with the first part of learning through internet but loving math is........umm.......a bit too much

@isaachester8475 2 года назад

@@dontreadmyusername6787 Math is awesome!

@kanna-chan6680 2 года назад

@@dontreadmyusername6787 Wait till you hear about math addiction

@dontreadmyusername6787 2 года назад

@@kanna-chan6680 i loved math till highschool, i can't say the same now in colg though

@rfolks92 5 лет назад

1) What would happen if you scaled a paraboloid by some number 0

@pictobloxer5412 4 года назад

its gets cut in half?

@SohamChakraborty42069 4 года назад

@@pictobloxer5412 xD

@armstrongtixid6873 4 года назад

As x is more than 0, that means that the parabloid isn't flattened, but as it is less than 1, it becomes smaller (the outputs), so therefore, all values of z decrease. Hence, my answer is b

@jestermagdaraog5664 3 года назад

It shloops

@armstrongtixid6873 3 года назад

@@jestermagdaraog5664 ahahaahahahah

@MsChocolisious 8 лет назад

I like the intuitive manner in which you teach!! Really good.

@ron0studios 2 года назад

The lecturer here is 3blue1brown, wait till you see his youtube videos :D

@Zeroeah 8 лет назад

Just want to say that your formatting is really well designed and the course plan will run smoother through this type of visualization. Another victory for the education revolution.

@jakesimonds5051 3 месяца назад

This series is to 3blue1brown as Tim Robinson's 'The Characters' 1/2 hour is to 'I Think You Should Leave'

@toolhog10 8 лет назад

Is this the 3blue1brown guy

@Moreoverover 7 лет назад

Yes.

@jamesgohigh26 6 лет назад

Yes

@davidm.johnston8994 5 лет назад

...and yes.

@wewwew1908 5 лет назад

yes

@abdulalhazred5924 5 лет назад

no, this is Patrick

@curtpiazza1688 Год назад

This is great! The graphical illustrations help me visualize the function! I've never seen this subject taught like this! 🎉😊❤

@ethanjensen661 7 лет назад

this is the same guy from three blue one brown!!!!!

@Test-ri2kr 3 года назад

No it’s me

@kevvonkev 2 года назад

OMG MY FAVORITE PI GUY IN KHAN ACADEMY

@Akira-tb1cj 4 месяца назад

Thanks 😊

@cheesescrust5399 4 года назад

We need a simple video that goes from basic common core all the way through to differential equations. Maybe an hour or so lol

@dafphtthedislikeupdater7836 2 года назад

how did your year go from the time you posted your comment to now?

@jitendra4308 7 лет назад

I really find your video very very helping. Can you do a video of scalar functions in three variables. More importantly, visualising scalar functions in different coordinates systems.

@alice_in_wonderland42 5 лет назад

check out his youtube channel 3Blue1Brown

@ulagy1 5 лет назад

In every x-y plane we get a circle and the radius depends on the value of z where z = f(x,y). Is this parabola actually a change of circle over time/radius plotted on z-axis?

@jairocorrales7370 3 года назад

This is not math, this is art.

@luvrathod2071 Год назад

yeah, that's why it's useless

@ruchirrawat8804 4 года назад

I clicked on khan academy i'm sure not 3b1b

@ericaredman1541 3 года назад

"shloops" used in a perfect context xD

@johnkhalil7146 3 года назад

Thank you so much

@izharkhankhattak 3 года назад

Thank you so much.

@lastweek438 3 года назад

thanks for making this video.

@jarenhohmann233 3 года назад

Would this give the same output as the integral from 0 to infinity of x^2 rotated around the y-axis or is it coincidental that they look almost identical?

@civic2980 2 года назад

Really long time ago but .... the graph looks exactly like x² rotated around the y axis. But the integral would give the area under the curve of x² and with your bounds .... only the right half. Could be wrong though im just a calc student like the rest of us. ( calc 3 now)

@avistaopu181 7 лет назад

excuse me, can i know what software did you use for that 3d graphic in your video? thank you for help before :)

@scubahick 4 года назад

I would like to know as well!

@aneesurrahman1086 4 года назад

@Jorge Ávila Balmaceda thanks

@camilo2107 3 года назад

He is using the macOS preinstalled "Grapher" App

@SchwanaCARDHUT 3 года назад

Hello dear, very good explication so it's very comprehensible I haven't seen before so it's nice imagination magique ..

@gabrieletrovato3939 2 года назад

Is he 3Blue1Brown? The voice seems the same.

@inanis6707 2 года назад

He indeed is

@300483rahul 8 лет назад

Pease help...can I please know which mathematical animation software is used in these videos ...its amazing ...please let me know if anyone knows...thanks

@jeanapp_ 7 лет назад

I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program: github.com/3b1b

@300483rahul 7 лет назад

thanks :)

@shiphorns 7 лет назад

His current videos in his own channel do use all his own code. This video looks like his own virtual blackboard, but the 3D plot in the middle is done with the graphing calculator that comes with Mac OS X (Applications/Utilities/Grapher)

@endogeneticgenetics 5 лет назад

I would also recommend Mathematica highly as vis and math software. Very worth learning imo. And student or amateur licenses are super cheap (and often free if in uni).

@nalayak862 Год назад

2D input - line x where output is a y height for each input 3Dl input - plane xy

@ved9402 2 года назад

Hey sir grant

@amruthavalli3319 4 месяца назад

Can we make this using projector sheets??

@chinmaygupta1530 5 лет назад

i love this video

@MDShakib-nw3dt 3 года назад

this guy is from 3 blue one brown

@jagsproduction 3 года назад

Explained well!♥️♥️🔥🙌🙌

@andrewgarcia3967 4 года назад

great video Thanks

@rashpalsingh7421 7 месяцев назад

Can we think of multivariablr functions as dot product like 2 dimension getting scaled to one dimension

@galisurendrareddy4435 2 года назад

Very nice..May which are the tools you have used to create this content?

@Andrei-ds8qv 7 лет назад

ty!!!

@scholar-mj3om Год назад

Marvellous💯

@temporary9508 9 месяцев назад

can a function mapping from 3 dimensions to 2 dimensions be fit into 3 dimensions ?

@chrismorevanrooyen3303 2 месяца назад

Which application was used to graph these functions tho,plz i need a answer guys

@GabrielBarbosa-yt6zg 7 лет назад

Do you guys know any good textbook/book that follows the flow of this course (entire playlist on multivariable course)? I want to use it as an additional material, also to solve some exercises from it. Thanks :)

@frazierli3078 5 лет назад

Gabriel Barbosa u can use the text UCSB math 6a/6b which is about vector calculus

@Kasasasassasasasasasas Год назад

I am just curious, if we were to create a formula to create a 4D parabola, would it be: f(x,y,z,) = x^2 + y^2 + z^2 ?

@Vic-ty2be 10 месяцев назад

most probably

@ravindrasuthar 4 года назад

🤗🤗🤗thank you...

@MrBigmit37 7 лет назад

So the partial derivative only shows a change in Z because x or y, (depending on whose partial derivative you take) will be constant?

@marc_frank Год назад

you could put as many axis in the xy plane as you want

@shakilmahmudresvy3802 3 года назад

You sound like the guy from '3blue1brown'

@rezarxy 4 года назад

You're amazing!

@djprometheus923 3 года назад

this is awesome

@NinetyUnderScore 3 года назад

He really sounds like that narrator for long division on DeltaMath

@abbigailclark1156 3 года назад

What program can I use as a 3D graphing calculator?

@user-xf7mu7ub9d 2 года назад

GeoGebra but if you have a Mac computer you can use Grapher.

@EPICNINJABOMBER 8 лет назад

What graphing software do you use? I cannot afford any professional programs, but I absolutely LOVE graphing. For 2D graphs, I use Desmos, but I haven't been able to find a decent 3D graphing software, which can keep up with my crazy functions. Thanks!

@blownspeakersss 8 лет назад

+EPICNINJABOMBER It looks a lot like the "Grapher" application that comes with Macbook computers.

@EPICNINJABOMBER 8 лет назад

+blownspeakersss Is there a Windows equivalent? I don't have a MacBook I can use.

@youmah25 8 лет назад

www.microsoft.com/en-us/education/educators/default.aspx

@jeanapp_ 7 лет назад

I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program: github.com/3b1b

@JannikPitt 6 лет назад

Try Geogebra, you can graph 2D- and 3D function with it.

@mukarrammallick7546 3 года назад

Can anybody suggest me app for android and software for windows. From which I make make this 3-D graphs?

@exploringthedata1992 6 лет назад

I wish you taught at Rutgers

@htascon 11 месяцев назад

Excellent videos… What software do you use to plot 3d functions?

@vedaanshvijaywargiya3596 7 месяцев назад

he is using the in-built grapher on macOS

@malakasadalikhan109 Год назад

0:50 4:20

@nomann5244 3 года назад

amazing

@shicobizous6154 4 года назад

what software are you using

@sharadprakash4951 Год назад

Is this 3B1B's voice?

@muqtarjamaegal6071 4 года назад

How we can write if it is infinite cordinates

@noahbayard8052 5 лет назад

Am I the only one who thought they were the first to think about graphing a 3d function only to be disappointed learning it already existed😂

@meesumashary959 6 лет назад

It really bothers me that the axises are not labeled

@shadowgamer-bohdancraft 2 года назад

Im modmaker fore one game (shadow fight 2) i need to output the data from the file responsible for the model to this graph and then edit it how to do it

@GundoganFatih 3 года назад

Hi, great videos. Which software are you using for visualization?

@camilo2107 3 года назад

He is using the macOS preinstalled "Grapher" App

@Chrnan6710 5 лет назад

G R A N T

@thescienceguy88494 4 года назад

How can I graph such functions in my phone? Making curves, drawing tangents, rotating graphs, bla bla?

@rezarxy 4 года назад

use online graphical websites like geogebra 3d or apps like "math lab graphing calculator for android"

@thescienceguy88494 4 года назад

@@rezarxy thank you a very much!

@saqrsakkaf2175 4 года назад

I am looking for Khan himself

@jimkeller3868 6 лет назад

Though his analogies are useful, I find the way he explains things convoluted and sometimes confusing.

@ryan_s 5 лет назад

Maybe you don't have the intelligance to understand it

@hindswraj4883 2 года назад

App for making this type graph

@scebsy6524 Год назад

i think he uses manim, his python library

@erikvaros 2 года назад

Everybody gangsta untill the 4th dimension kicks in

@duckscitomaster1308 Год назад

what if you did f(x,y) = xy

@vtron9832 7 лет назад

What is that application that lets you does all that math

@jeanapp_ 7 лет назад

I think it's a software written by himself (Grant aka. 3blue1brown). Check here to see his program: github.com/3b1b

@mohdayaz1212 7 лет назад

thnx

@archertao4516 4 года назад

Does anyone know which 3D graph program he used?

@pinklady7184 3 года назад

I don't know. I use Blender and it is a free open-source software. You can download Blender from its official website and it costs you nothing.

@kanghihihi 2 года назад

I am cuurently watching this video to figure out what the volume of the cookie in cookie clicker is because my friend told me they ate all of my 474 trillion cookies and I'm currently figuring out how much volume of cookies he ate

@farmaviewpointbyfarmanali9810 6 лет назад

Anybody who is good In multivariable so kindly teach me.

@asrarulhaq1890 6 лет назад

Sir i need a video about nbd of a point in sapce....plzzz

@jamescrazypig 8 лет назад

My brain the whole way through : Wtf is this guy talking about.

@wedeldylan 6 лет назад

James Smith point out a spot in the air with your finger. That can be represented by a three-dimensional point, with a of the corner of your room being the origin

@wedeldylan 6 лет назад

James Smith Think visually, not numerically

@sdo7458 6 лет назад

James Smith i

@Cyber_Cannon 10 месяцев назад

Is this 3blue1brown voice?

@arkappa-t 4 месяца назад

It's him

@Zachnemfr 8 лет назад

what happened to sal?

@ryanlira7194 6 лет назад

I did

@senam23 3 года назад

This guy is lying. If you have a three dimensional graph of an equation, it will give you a line/graph, nonetheless, not a 3D shape. I would know: I'm a game production major (in 3D, animation) and a former physics major. But, nobody will care, mostly because this probably didn't deserve any purpose, to my knowledge.

@startuckval5198 3 года назад

Dude you didn't include the context of different dimensional inputs. You refer to a 2 dimensional input, (x,y), to give a 2d shape, which you are right on, but when the third variable z is another input to the multivariable function, the cone like 3d parabola he showed was true. Also keep in mind you may be confused with vectors and in Calculus you need to remember that surfaces and areas can have fluctuating values. For example a rational function may have some weird oscillations and so the area under is measured by lim h->infinity of the riemann sum of the approximations under the curve.

@senam23 3 года назад

@@startuckval5198 Nice try!! But, you're the only one confused about anything, not me. Give it a rest. I know what a graph looks like, 2D or 3D. I don't make mistakes when it comes to this stuff.

@startuckval5198 3 года назад

@@senam23 okay, I will leave you alone with your inflated ego, "I don't make mistakes" lmao.

@senam23 3 года назад

@@startuckval5198 Sure. Doubt me. 😄🙂😏 And yes: have a good one.