Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacadem... The gradient captures all the partial derivative information of a scalar-valued multivariable function.
Пікірлер: 179
@atraps78823 жыл бұрын
the moment i heard that deep, soothing voice, I knew I'm in good hands for multivariable calc.
@youngkim59093 жыл бұрын
3Blue1Brown fans detected! That man is a genius, not only mathematically, but also pedagogically
@EliteCubingAlliance2 жыл бұрын
@@youngkim5909 True. He's inspirational.
@swatantradhara41532 жыл бұрын
Ahhh yes! 😌
@alexandergrunbacher93572 жыл бұрын
@@youngkim5909 is he actually a professor though?
@xiaomenghu883112 жыл бұрын
3B1B has such an iconic voice.
@eduquest31693 жыл бұрын
Tears roll down my face after listening this beautiful voice.
@anonymoustraveller22547 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.
@lexuanbach11273 жыл бұрын
Shut up
@yashagrahari3 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.
@littletravel3 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.
@ShirimeCid8 жыл бұрын
Keep em coming, I can't help be be proud of seeing you be a teacher in khan's free knowledge.
@douglasespindola51856 жыл бұрын
Grant, you're the best!
@slickwillie33764 жыл бұрын
I like it. Thinking of the gradient as the "full derivative" is an easy way to remember the whole thing. 😀
@jrremix58785 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)
@AlexanderNghiem6 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
@PandaKittenhybrid5 жыл бұрын
omg me too the way he said it was just so funny
@cubby0913985 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-sz4pf3 жыл бұрын
Hey can I ask what are you studying and what year are you?
@EliteCubingAlliance2 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!
@nevenazMadwrld2 жыл бұрын
i know that voice anywhere
@MrLikon78 жыл бұрын
3blue1brown? come to numberphile next pls xD
@unrelentingawesomeness75014 жыл бұрын
Numberphile sucks balls imo
@realcirno17504 жыл бұрын
your wishes have been answered
@PranabMallick.3 жыл бұрын
Your wish was granted.
@aadityasingh85536 жыл бұрын
Its weird...... Your voice is the reason i understand maths....
@chamidumadumal71305 жыл бұрын
is this the real grant?? is this just fantasy??
@maddykim93485 жыл бұрын
Caught up in the landslide, No escape from reality!
@collardgreen4 жыл бұрын
Open your eyes, look up to the skies and seeeeeeeee
@DylanFridman4 жыл бұрын
I'm pretty sure this was the best, funniest comment I've ever read on KZfaq.
@satyamprakash70304 жыл бұрын
I am just a little boy, I need no sympathy
@serotonin92184 жыл бұрын
I’m just a poor boy, Nobody loves me.
@shane22864 ай бұрын
I couldn't be happier when I opened the video and heard Grant Sanderson
@bartonpaullevenson34275 жыл бұрын
Very simple and to the point! Thanks for posting!
@lizzybach4254 Жыл бұрын
Wait, that sounds like 3b1b. Omgggg!
@MeatMaster694202 жыл бұрын
Literaly was my savior throughout my school life so far
@SkanderTALEBHACINE6 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
@jvcmarc6 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
@namik2b2 жыл бұрын
WOW, you did it so simple.
@jifathossain76372 жыл бұрын
I came here randomly but when I heard that voice I was ......
@mrhatman6753 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
@ramankumar417 ай бұрын
Dear @khanacademy , you are the greatest gift for students !
@ruidodevinilo Жыл бұрын
That voice... 3blue1brown
@danieljaszczyszczykoeczews26163 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
@justinweaver3753 жыл бұрын
This has the "potential" to be very interesting!
@peanutbutter76395 жыл бұрын
It’s Grant Sanderson 🤗🤗🤗
@SandeepSingh-hc3no Жыл бұрын
Hail Grant Sanderson!
@SerdceDikarya1993 жыл бұрын
I hate showing computation before giving a geometric interpretation😍😍
@maxwellsequation48874 жыл бұрын
Grant is grand
@Real_Obi-Wan_Kenobi Жыл бұрын
When did 3blue1brown start making Khan Academy videos?
@UntakenNick5 жыл бұрын
Does it make any difference, conceptual or practical, to place the derivatives in vertical order between square brackets or horizontally between parenthesis..?
@redberries80395 жыл бұрын
Why don't they provide a link to the related playlist?
@JamesRobinson-pl1xx4 жыл бұрын
why am I doing this for my GCSE's, just crazy.
@ankitaaarya3 жыл бұрын
I like grant but tbh i dont understand him, khan is better explainer for me.
@MyBilal199717 жыл бұрын
Does this gradient means that it is the gradient of the tangent line at a point P on the surface?
@Gunth0r7 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
@fahnub7 ай бұрын
That's Grant's voice!
@Festus20223 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_40924 жыл бұрын
3blue 1 brown... I love this guy
@kevinshao91482 жыл бұрын
Hi, question please: does it have to be addition of all bases directions?
@Por-poI5 жыл бұрын
I love 3blue1brown men... so good
@user-fg2ss5ru4e3 жыл бұрын
OMG ... He's voice is Soo OMG ... So Soothing 🥴
@ethanvirtudazo16572 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
@ericsparkman13036 жыл бұрын
Thank you for all your awesome videos
@phenomenalphysics35484 жыл бұрын
Omg! The guy from 3blue1brown 💞💞💞
@ycombinator7654 жыл бұрын
So, will the determinant of this nebula vector have some meaning when conbined with a function?
@vanishnobin91595 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.
@kavourakos2 жыл бұрын
So how can I find which is the next video? ...
@Mari-Bathwater2 жыл бұрын
On the website
@tom_bhai6755 ай бұрын
then what is the main purpose of the gradient it is simple the derivatives of the function
@LeonieHanneChannel-c3v6 жыл бұрын
Thanks sir
@juliocardenas4485 Жыл бұрын
3 blue 1 brown !!! I’m safe
@vkv3925 ай бұрын
really good....
@arachan52806 жыл бұрын
thank you so much this is very helpful
@billbuyers868311 ай бұрын
derivative is the amount of change in a function
@afonsoczernin36156 жыл бұрын
Thank you sooo much, amazing material
@user-iz2et4kj9y Жыл бұрын
Thanks!
@tripasect12712 жыл бұрын
We lovve you Grant.
@poppyflorist3 жыл бұрын
3b1b pls provide a practical example of why we use this
@arashchitgar74455 жыл бұрын
What is the difference between this nabla (Gradient) and Jacobian?
@shararan235 жыл бұрын
It’s grant!
@hyunwoopark92415 жыл бұрын
Is this Gront Sonderson?
@theoleblanc97615 жыл бұрын
Grant Sanderson *
@scholar-mj3om Жыл бұрын
Marvellous💯
@BlueOrange18 жыл бұрын
Awesome! thumb up!
@isaacfernandez22432 жыл бұрын
What course is this video taken from?
@1ts7ust7osh3 жыл бұрын
3b1b??
@avareallymeow4 жыл бұрын
omg stan 3b1b
@PasanJayaweeraYashoda3 жыл бұрын
hi 3Blue1Brown
@alondrarivera61533 жыл бұрын
Thank you!
@hje90213 жыл бұрын
Thank you ...TT
@jamesmiller25214 жыл бұрын
so basically bunch ("vector") of derivatives
@DylanWoods-kw6km6 ай бұрын
THREEBLUEONEBROWN!
@Elzelgator6 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?
@EpicosityGuy6 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.
@kotsariniskonstantinos74405 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
@meena60324 жыл бұрын
i’m learning this in year 8 i-
@samratpodder1605 жыл бұрын
What is the difference between slope and gradient??? Plzz tell me.
@1eV2 жыл бұрын
slope is not a vector
@niikurasu2855 Жыл бұрын
@@1eV Slope is pretty much just an one-dimensional vector
@suvamkumar33705 жыл бұрын
gradient of a vector field exist or not?
@samvhora90762 жыл бұрын
3blue1brown 🔥🔥🔥🔥
@jizhang24073 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..
@damejelyas2 жыл бұрын
i dont see khan Academy I see 3 blue 1 brown
@fificovfefe62476 жыл бұрын
What is the speaker's name so I can find the rest of his stuff? Very understandable!
@douglasespindola51856 жыл бұрын
His name is Grant! The best math teacher I've ever seen besides Sal Khan!
@somerandomuserfromootooobКүн бұрын
Grant!!?..
@MaarceloHenrique5 жыл бұрын
3B1B????
@mohtasimtamjeed3 жыл бұрын
yes Grant Sanderson, same person
@curtpiazza168811 ай бұрын
Great! 😊
@tcatking97619 ай бұрын
is that 3blue1brown's voice?
@siddharthvijay86172 жыл бұрын
is this the guy from 3Blue1Brown????
@TheHumanHades3 жыл бұрын
3b1b is my favourite youtuber. Are you really the same.
@krishanlallaxiib45893 жыл бұрын
🎉🎉❤️❤️ HEY GUYS HAVE YOU DIFFERENTIATED YOUR MOUSE POINTER ALSO???🎉🎉😂😂