Partial derivatives and graphs

Рет қаралды 253,219

8 жыл бұрын

One of the best ways to think about partial derivatives is by slicing the graph of a multivariable function.
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Пікірлер: 88

@robertstan2441 3 жыл бұрын

1:55 the thing my toilet sees everyday

@TechnoSan09 2 жыл бұрын

Oh man ,u see things differently Which normal persons can't visualize

@zes3813 6 жыл бұрын

This is art.

3 жыл бұрын

Can't even think of a better way of explaining this. Thank you!

@navneet7075 3 жыл бұрын

You made my last 10 years man... No word to thank you... ❤️❤️❤️❤️❤️❤️❤️❤️❤️

@TheLocoUnion 2 жыл бұрын

This man is the Bob Ross of math!

@MsChocolisious 7 жыл бұрын

These videos make me happy to learn! ^_^

@NovaWarrior77 4 жыл бұрын

Good to hear! Me too.

@igg5589 4 жыл бұрын

What software do you use for writing notes and slicing graphs?

@jordanjacobson6046 3 жыл бұрын

Great video, my only little remark is that the way you write your twos makes them look a lot like a z, which would be fine in the single variable world, but since we are working with functions in three dimensions, it could be confusing for some people.

@joeybasile1572 11 ай бұрын

If someone thinks that is a Z in this context then lmfao

@shahf13 3 жыл бұрын

I have been struggling with this for a long time and in 2 videos you make it so clear and understood thank you so much

@lynsikeye3714 6 жыл бұрын

Thanks so much! This helped!

@cybernaut_ev3106 6 жыл бұрын

Love the explanation and the graphics.

@umairalvi7382 4 жыл бұрын

What a great explanation.

@user-bz8nm6eb6g 4 жыл бұрын

Thank you!

@sols8-ee799 6 жыл бұрын

Super cool video!

@dilpreetsingh4199 3 жыл бұрын

Thank u for making it so simple

@Xx_Eric_was_Here_xX 2 жыл бұрын

thank you.. i had the intuition that the partial derivatives would form 'slices' of the surface to form curves, i just had such trouble visualizing it in my mind.. i also did not realize to form these slices you just have to pick a constant value for y, as you increment the constant value you can start to visualize the gradient of the function..

@yougetchandan 3 жыл бұрын

before watching this video i had never seen a graph in such a way

@dhruvgarg8113 3 жыл бұрын

Beautiful!!!!❤️❤️

@zubair1411 5 жыл бұрын

Perfect explanation

@edgbaston149 3 жыл бұрын

Thank you so much

@rishitsrivastava2345 3 жыл бұрын

Wow!! What an amazing explanation...!!!Gr8👍👍👍👍👍👍👍👍👍👍👍👍👍👏👏👏👏👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻👏🏻

@curtpiazza1688 10 ай бұрын

Love the graph "slicing" ! 😂 🎉

@raheelroy2448 3 жыл бұрын

Great job 👍👏🎉

@zhenniqi136 7 ай бұрын

Can i say,wow!what a great job!

@mrmathsacademy3343 7 жыл бұрын

Very good editor you use there. I don't believe it is SmoothDraw 4? What program is this?

@jagsproduction 3 жыл бұрын

You are awesome!♥️♥️♥️♥️🙏🙌🙌🙌🙌

@kisore20gp 5 жыл бұрын

Awesome

@arkapravamanna 3 жыл бұрын

Really best videos

@omarallam4548 2 жыл бұрын

Great♥

@MrBigmit37 7 жыл бұрын

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

@KK-rg3nj 3 жыл бұрын

graphs are the best

@sandipansarkar9211 3 жыл бұрын

good explanation

@jyothishtr6460 2 жыл бұрын

Is this 3blue1brown?

@546mukulsharma8 4 жыл бұрын

Good video

@suryanshkhatri5570 Жыл бұрын

My mind was blown when I got to know that this is 3blue1brown

@AvielLivay 5 жыл бұрын

Beautiful!!

@impogg5942 Ай бұрын

you could have used small angle approx to denote the trig values

@rossholst5315 5 ай бұрын

What about when you want to know what the shape is doing in a partial step in the x direction and a partial step in the y direction?

@aaa-battery316 5 жыл бұрын

4:46 x youre a constant! why? youre the variable!

@aharonmalachi 5 жыл бұрын

Why we are interested in 2 specific derivatives in specific directions (along the x and y axes) when we can ask about the derivative of other infinite directions? is it because it is easier to calculate? how can we calculate the derivative of other directions?

@MrCmon113 4 жыл бұрын

The different directions would be different parametrisations of the same graph, but lead to a different function.

@hel_0568 Жыл бұрын

It is easier to calculate in x and y directions as usually we are in euclidean space. We can surely calculate the derivative in any direction we want, for example by using polar coordinates here the parameters would be the angle theta and the radial direction in which we want to calculate, this is particularly useful when there is spherical symmetry, but it is really tedious

@PANKAJKUMAR-yc3jn 5 жыл бұрын

Thanks I did understand d concept. But how did u locate tat point(-1,1) to on graph?

@liang_white Жыл бұрын

same question for me

@alibader910 3 жыл бұрын

and what does fxx and fxy mean in geometry?

@joypalit6408 3 жыл бұрын

what software did u use?

@telephonerock 8 жыл бұрын

does anyone know what program they are using to draw? it doesnt look like the usual smoothdraw

@xynyde0 7 жыл бұрын

its the grapher

@diaracing 7 жыл бұрын

The first graph in the video is like man body upside down

@turcugeorge5874 8 жыл бұрын

Thank you! Does anyone know what is this program? it looks really useful..

@ijarbis187 5 жыл бұрын

It’s called Grapher and its a default program on Mac computers made by apple

@baxi9227 5 жыл бұрын

@@ijarbis187 No, its manim. An open source python library

@prajwaldeepkamble6617 4 жыл бұрын

How to evaluate the derivative in any direction but not in direction of x or y axis

@makotowang4363 6 ай бұрын

directtional dedriative

@mostafaEOY 7 жыл бұрын

what is the name of the program used in 3d drawing ?

@mrmathsacademy3343 7 жыл бұрын

Interesting. I like to know too. I don't believe this is Smoothdraw 4.

@Ferddddi 6 жыл бұрын

Mac Grapher

@High_Rate136 5 ай бұрын

What doesn't make sense is if you use a pure graphical interpretation. What is stopping you from looking at the slope from the other direction and thinking what should be positive is actually negative?

@raheelroy2448 3 жыл бұрын

But sel Khan is best all the time ..

@bennyblanco3322 2 жыл бұрын

You sound like timothy sykes

@pradyu8335 2 жыл бұрын

isnt this 2 variable input and 2 variable output? why does he call it 2 variable input and 1 variable output?

@tmacchioni 3 жыл бұрын

But it's Grant Sanderson of 3Blue1Brown! Isn't it?

@ekeebobs7520 3 жыл бұрын

Yes it is.

@anaslamaiz2079 3 жыл бұрын

shouldn't the point (-1,1) be parallel to the (x,y) surface?

@saimeghana2261 7 жыл бұрын

why is f(x,y) in 3D?

@arkapointer 7 жыл бұрын

Sai Meghana f(x,y) isn't actually in 3d. The point is the inputs are ordered pairs(as opposed to usual functions from |R->|R) So the "graph" is made like this considering the input domain to be the whole of |R^2

@xoppa09 7 жыл бұрын

f(x,y) is in three dimensions, if we graph it the standard way. Two dimensions for input (x,y) and a third dimension z where z = f(x,y) for output.

@computeconnect3396 5 жыл бұрын

Can you please tell me the plotting software used

@ijarbis187 5 жыл бұрын

It’s called grapher and its a default program on Mac computers made by apple and its only on Mac I’m pretty sure. It’s amazing I use it all the time.

@baxi9227 5 жыл бұрын

@@ijarbis187 Its manim. He makes the program himself

@anshul9856 4 жыл бұрын

LOVE YOU WHOEVER DISLIKED THIS MUST BE BLIND

@ahmedel-hindawi9226 3 жыл бұрын

maaaaaaan

@CheesyHotDogPuff 8 жыл бұрын

I have to do this shit in uni? Fuuuck

@tripp3468 7 жыл бұрын

it's actually pretty interesting.

@deltagamma1442 7 жыл бұрын

What you mean? There's alot of money involved in machine learning? Doesn't it reduce human labour?

@anonymoustraveller2254 6 жыл бұрын

Alpha Beta nah , people who work on machine learning gets more money , people who work for learned machines gets less money.

@1paper1pen63 5 жыл бұрын

Oh 3b1b.

@puddingninja 4 жыл бұрын

I thought so

@KaziRifatMorshed_is_here Жыл бұрын

I guess, Mr Grant Sanderson speaking 🙄

@pinkospace9040 5 жыл бұрын

why is this a 3D graph? shouldn't it be 2D?

@xingyubian5654 5 жыл бұрын

f(x,y) is a 3D graph because x and y are the input and f(x,y) is the output.

@zahrankhalil8209 8 жыл бұрын

second !!

@prostatecancergaming9531 2 жыл бұрын

I personally don’t believe in god but when I think of a person who does deeds Jesus would do i would think of grant

@yashdesai8372 5 жыл бұрын

oversimplified

@michaelchen7312 5 жыл бұрын

how would you explain it?