Gradient

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Gradient

Рет қаралды 921,267

Күн бұрын

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The gradient captures all the partial derivative information of a scalar-valued multivariable function.

Пікірлер: 179

@atraps7882 3 жыл бұрын

the moment i heard that deep, soothing voice, I knew I'm in good hands for multivariable calc.

@youngkim5909 3 жыл бұрын

3Blue1Brown fans detected! That man is a genius, not only mathematically, but also pedagogically

@EliteCubingAlliance 2 жыл бұрын

@@youngkim5909 True. He's inspirational.

@swatantradhara4153 2 жыл бұрын

Ahhh yes! 😌

@alexandergrunbacher9357 2 жыл бұрын

@@youngkim5909 is he actually a professor though?

@xiaomenghu88311 2 жыл бұрын

3B1B has such an iconic voice.

@eduquest3169 3 жыл бұрын

Tears roll down my face after listening this beautiful voice.

@anonymoustraveller2254 7 жыл бұрын

Khan academy videos are like happy start to my day , after all chaos around when i hear voice of the tutor , i fall in love with the subject , now its only the subject & me, nothing else in my mind , i think that black background also helps in escaping the chaos of this world , blissss.

@lexuanbach1127 3 жыл бұрын

Shut up

@yashagrahari 3 жыл бұрын

It has been 12 years of uploading videos still I found it best lecture series to understand vector calculus so far. Thank you Khan Academy. You beauty.

@littletravel 3 жыл бұрын

The way you are teaching is really making sense to me. I am watching all videos in sequence. And it really make a big change in my understanding. Previously I found all my teachers jump to the subject in such a way that the students already know everything. Specially, the lecturers during my Undergrade at BUET really failed to make any sense of this subject. Thank you for being so detailed. I am committed to finish this course here.

@furqaanilahi8078 Жыл бұрын

The hardest thing is to watch these videos in a sequence, I mean how do u do that? It takes half an hour for me to just understand the sequence 😂

@littletravel Жыл бұрын

@@furqaanilahi8078 haha. I think sequence is there. Good luck to your study. This is really well done work.

@Stopitgetsomehelp3012 Жыл бұрын

Are you from Bangladesh?

@littletravel Жыл бұрын

@@Stopitgetsomehelp3012 yes but live abroad. But why?

@Stopitgetsomehelp3012 Жыл бұрын

@@littletravel you mentioned BUET, that's why.

@ShirimeCid 8 жыл бұрын

Keep em coming, I can't help be be proud of seeing you be a teacher in khan's free knowledge.

@douglasespindola5185 6 жыл бұрын

Grant, you're the best!

@slickwillie3376 4 жыл бұрын

I like it. Thinking of the gradient as the "full derivative" is an easy way to remember the whole thing. 😀

@jrremix5878 5 жыл бұрын

3blue1brown with sloppy animation. love it

@That_One_Guy... 4 жыл бұрын

He's mostly not using animation when teaching in khanacademy, but uses khan writing tools (but he still use that cool 3D graphing software)

@AlexanderNghiem 6 жыл бұрын

4:40 when he says "its like how many dimensions you got" i died laughing and then had to awkwardly explain to my parents that i was unironically laughing at a youtube math lecture about gradients

@PandaKittenhybrid 5 жыл бұрын

omg me too the way he said it was just so funny

@cubby091398 5 жыл бұрын

This is much more straightforward. My Calculus III book looks and seems like total chaos. It skips way too many steps. However, the last chapter in the book which is first and second order Differential Equations makes more sense and is more straightforward, than the Multivariable Calculus in the other chapters. Thank you for your help sir. I will not only have a great professor this Fall but also you as a backup for extremely useful help.

@God-sz4pf 3 жыл бұрын

Hey can I ask what are you studying and what year are you?

@EliteCubingAlliance 2 жыл бұрын

Dude, I understand this and I'm a freshman in high school. I'm learning this for a science fair that I'm trying to win. I'm trying to get into the nationals competition for 9th grade, and I think this video will help. This man(3blue1brown) is a legend!

@nevenazMadwrld 2 жыл бұрын

i know that voice anywhere

@MrLikon7 8 жыл бұрын

3blue1brown? come to numberphile next pls xD

@unrelentingawesomeness7501 4 жыл бұрын

Numberphile sucks balls imo

@realcirno1750 4 жыл бұрын

your wishes have been answered

@PranabMallick. 3 жыл бұрын

Your wish was granted.

@aadityasingh8553 6 жыл бұрын

Its weird...... Your voice is the reason i understand maths....

@chamidumadumal7130 5 жыл бұрын

is this the real grant?? is this just fantasy??

@maddykim9348 5 жыл бұрын

Caught up in the landslide, No escape from reality!

@collardgreen 4 жыл бұрын

Open your eyes, look up to the skies and seeeeeeeee

@DylanFridman 4 жыл бұрын

I'm pretty sure this was the best, funniest comment I've ever read on KZfaq.

@satyamprakash7030 4 жыл бұрын

I am just a little boy, I need no sympathy

@serotonin9218 4 жыл бұрын

I’m just a poor boy, Nobody loves me.

@shane2286 4 ай бұрын

I couldn't be happier when I opened the video and heard Grant Sanderson

@bartonpaullevenson3427 5 жыл бұрын

Very simple and to the point! Thanks for posting!

@lizzybach4254 Жыл бұрын

Wait, that sounds like 3b1b. Omgggg!

@MeatMaster69420 2 жыл бұрын

Literaly was my savior throughout my school life so far

@SkanderTALEBHACINE 6 жыл бұрын

Thanks for all the efforts, just one question(maybe far away from the context) , when trying to derive the expression for the gradient of a function , we compute the total differential of this function but why we suppose that this function is only coordonate s dependent but time free? i.e. df(x,y,z)=Dfx dx+Dfy dy+Dfz dz (but not Dft dt ) using df = Gradf . dr (dr desplacement vector) . thanks again

@jvcmarc 6 жыл бұрын

IT'S THE 3 BLUE 1 BROWN GUY!!!

@user-gc2fe8oc8o Жыл бұрын

나블라는 다양한 경우에 X y z에 대하여 적용되기에 '연산자' 지만 '벡터'와 같이 표기된다. / 나블라는 스칼라f(x,y)값을 벡터로 변환함을 주목한다

@namik2b 2 жыл бұрын

WOW, you did it so simple.

@jifathossain7637 2 жыл бұрын

I came here randomly but when I heard that voice I was ......

@mrhatman675 3 жыл бұрын

It try to think of the nabla operator as a way of finding for example the 2d velocity vector when we have two axes of space and one of time

@ramankumar41 7 ай бұрын

Dear @khanacademy , you are the greatest gift for students !

@ruidodevinilo Жыл бұрын

That voice... 3blue1brown

@danieljaszczyszczykoeczews2616 3 жыл бұрын

thank you very much for a video!!! :D I don't know what I would have done if I hadn't watched this video

@justinweaver375 3 жыл бұрын

This has the "potential" to be very interesting!

@peanutbutter7639 5 жыл бұрын

It’s Grant Sanderson 🤗🤗🤗

@SandeepSingh-hc3no Жыл бұрын

Hail Grant Sanderson!

@SerdceDikarya199 3 жыл бұрын

I hate showing computation before giving a geometric interpretation😍😍

@maxwellsequation4887 4 жыл бұрын

Grant is grand

@Real_Obi-Wan_Kenobi Жыл бұрын

When did 3blue1brown start making Khan Academy videos?

@UntakenNick 5 жыл бұрын

Does it make any difference, conceptual or practical, to place the derivatives in vertical order between square brackets or horizontally between parenthesis..?

@redberries8039 5 жыл бұрын

Why don't they provide a link to the related playlist?

@JamesRobinson-pl1xx 4 жыл бұрын

why am I doing this for my GCSE's, just crazy.

@ankitaaarya 3 жыл бұрын

I like grant but tbh i dont understand him, khan is better explainer for me.

@MyBilal19971 7 жыл бұрын

Does this gradient means that it is the gradient of the tangent line at a point P on the surface?

@Gunth0r 7 жыл бұрын

if I'm getting this right, the first example with two variables x and y will give you the slope (also called gradient) (m) in a linear equation of form: f(x) = mx + y. In the second example, I'm assuming with spatial coordinates x, y, z; the gradient is a matrix whose components are spatial derivatives, which means that they represent the rate of change of a given scalar physical quantity with respect to the position coordinates. Note: Scalars are basically real values that can serve as a component of a vector, example: scalar x in vector v = [x,y] ). en.wikipedia.org/wiki/Gradient

@fahnub 7 ай бұрын

That's Grant's voice!

@Festus2022 3 ай бұрын

Why is the magnitude of the gradient vector said to be the RATE of maximum ascent? When I see "rate", I think slope. Why isn't the rate of ascent simply the partial of y divided by the partial of x.? Isn't this the slope of the gradient....i.e. change in y over the change in x? What am I missing? thanks

@ngm_4092 4 жыл бұрын

3blue 1 brown... I love this guy

@kevinshao9148 2 жыл бұрын

Hi, question please: does it have to be addition of all bases directions?

@Por-poI 5 жыл бұрын

I love 3blue1brown men... so good

@user-fg2ss5ru4e 3 жыл бұрын

OMG ... He's voice is Soo OMG ... So Soothing 🥴

@ethanvirtudazo1657 2 жыл бұрын

Thank you for the video! Could someone please explain what he means by "operators"?

@luckygamer9197 Жыл бұрын

a function has an input and spits out an output, an operator takes a function and spits out another function

@ericsparkman1303 6 жыл бұрын

Thank you for all your awesome videos

@phenomenalphysics3548 4 жыл бұрын

Omg! The guy from 3blue1brown 💞💞💞

@ycombinator765 4 жыл бұрын

So, will the determinant of this nebula vector have some meaning when conbined with a function?

@vanishnobin9159 5 ай бұрын

a bit hard to understand for beginner. I wanted to show my friend who is in high school how to understand gradient but i feel that this is closer to university level.

@kavourakos 2 жыл бұрын

So how can I find which is the next video? ...

@Mari-Bathwater 2 жыл бұрын

On the website

@tom_bhai675 5 ай бұрын

then what is the main purpose of the gradient it is simple the derivatives of the function

@LeonieHanneChannel-c3v 6 жыл бұрын

Thanks sir

@juliocardenas4485 Жыл бұрын

3 blue 1 brown !!! I’m safe

@vkv392 5 ай бұрын

really good....

@arachan5280 6 жыл бұрын

thank you so much this is very helpful

@billbuyers8683 11 ай бұрын

derivative is the amount of change in a function

@afonsoczernin3615 6 жыл бұрын

Thank you sooo much, amazing material

@user-iz2et4kj9y Жыл бұрын

Thanks!

@tripasect1271 2 жыл бұрын

We lovve you Grant.

@poppyflorist 3 жыл бұрын

3b1b pls provide a practical example of why we use this

@arashchitgar7445 5 жыл бұрын

What is the difference between this nabla (Gradient) and Jacobian?

@shararan23 5 жыл бұрын

It’s grant!

@hyunwoopark9241 5 жыл бұрын

Is this Gront Sonderson?

@theoleblanc9761 5 жыл бұрын

Grant Sanderson *

@scholar-mj3om Жыл бұрын

Marvellous💯

@BlueOrange1 8 жыл бұрын

Awesome! thumb up!

@isaacfernandez2243 2 жыл бұрын

What course is this video taken from?

@1ts7ust7osh 3 жыл бұрын

3b1b??

@avareallymeow 4 жыл бұрын

omg stan 3b1b

@PasanJayaweeraYashoda 3 жыл бұрын

hi 3Blue1Brown

@alondrarivera6153 3 жыл бұрын

Thank you!

@hje9021 3 жыл бұрын

Thank you ...TT

@jamesmiller2521 4 жыл бұрын

so basically bunch ("vector") of derivatives

@DylanWoods-kw6km 6 ай бұрын

THREEBLUEONEBROWN!

@Elzelgator 6 жыл бұрын

I didnt understand why you said n dimensional would have a matrix of length of n? Isnt the example you gave 3 dimensional but the gradient matrix has length of 2?

@EpicosityGuy 6 жыл бұрын

Prisoner Of Paradise for an n-dimensional scalar field, the corresponding vector field would be the same dimension. Any scalar field is actually just a function that can be represented as a dimension higher than its scalar field.

@kotsariniskonstantinos7440 5 жыл бұрын

why does the gradient of a single variable function does not give the normal vector but gives the tangent one?

@That_One_Guy... 4 жыл бұрын

We uses vector in 3D instead of line, since it give you direction. But you may also use vector as tangent vector of 2D function/single variable function that would describe how the tip of the vector parameterizing/writing a curve should moves as parameter t changes

@meena6032 4 жыл бұрын

i’m learning this in year 8 i-

@samratpodder160 5 жыл бұрын

What is the difference between slope and gradient??? Plzz tell me.

@1eV 2 жыл бұрын

slope is not a vector

@niikurasu2855 Жыл бұрын

@@1eV Slope is pretty much just an one-dimensional vector

@suvamkumar3370 5 жыл бұрын

gradient of a vector field exist or not?

@samvhora9076 2 жыл бұрын

3blue1brown 🔥🔥🔥🔥

@jizhang2407 3 жыл бұрын

Thanks for sharing. Shouldn't the derivative of a "scalar valued function" w.r.t. a vector input (x, y), be a "row vector" instead of a "column vector", according to the book "Mathematics for Machine Learning"?

@None_me_ 2 жыл бұрын

Row vector and column vector are the same if you consider the dimensions in them. As vector is just a "one dimensional array of elements". So row vector is just single row of "n" elements and column vector is a single column of "n" elements but they both refer the same thing. :)... The important part is the inputs and their change in direction from that input and it's not about the type of vector..