Gradient

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

[@atraps7882]

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

[@youngkim5909]

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

[@EliteCubingAlliance]

@@youngkim5909 True. He's inspirational.

[@swatantradhara4153]

Ahhh yes! 😌

[@alexandergrunbacher9357]

@@youngkim5909 is he actually a professor though?

[@xiaomenghu88311]

3B1B has such an iconic voice.

[@eduquest3169]

Tears roll down my face after listening this beautiful voice.

[@nevenazMadwrld]

i know that voice anywhere

[@sanjeevsaroy6019]

Grant Sanderson 3b1b

[@lizzybach4254]

Wait, that sounds like 3b1b. Omgggg!

[@anonymoustraveller2254]

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]

Shut up

[@MrLikon7]

3blue1brown? come to numberphile next pls xD

[@unrelentingawesomeness7501]

Numberphile sucks balls imo

[@realcirno1750]

your wishes have been answered

[@PranabMallick.]

Your wish was granted.

[@Real_Obi-Wan_Kenobi]

When did 3blue1brown start making Khan Academy videos?

[@douglasespindola5185]

Grant, you're the best!

[@jrremix5878]

3blue1brown with sloppy animation. love it

[@That_One_Guy...]

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

[@ShirimeCid]

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

[@chamidumadumal7130]

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

[@maddykim9348]

Caught up in the landslide, No escape from reality!

[@collardgreen]

Open your eyes, look up to the skies and seeeeeeeee

[@DylanFridman]

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

[@satyamprakash7030]

I am just a little boy, I need no sympathy

[@serotonin9218]

I’m just a poor boy, Nobody loves me.

[@littletravel]

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]

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]

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

[@Stopitgetsomehelp3012]

Are you from Bangladesh?

[@littletravel]

@@Stopitgetsomehelp3012 yes but live abroad. But why?

[@Stopitgetsomehelp3012]

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

[@yashagrahari]

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.

[@slickwillie3376]

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

[@jifathossain7637]

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

[@ruidodevinilo]

That voice... 3blue1brown

[@AlexanderNghiem]

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]

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

[@cubby091398]

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]

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

[@EliteCubingAlliance]

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!

[@kavourakos]

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

[@Mari-Bathwater]

On the website

[@maxwellsequation4887]

Grant is grand

[@aadityasingh8553]

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

[@JamesRobinson-pl1xx]

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

[@Por-poI]

I love 3blue1brown men... so good

[@PasanJayaweeraYashoda]

hi 3Blue1Brown

[@SandeepSingh-hc3no]

Hail Grant Sanderson!

[@jvcmarc]

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

[@1ts7ust7osh]

3b1b??

[@avareallymeow]

omg stan 3b1b

[@Festus2022]

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

[@SerdceDikarya199]

I hate showing computation before giving a geometric interpretation😍😍

[@meena6032]

i’m learning this in year 8 i-

[@danieljaszczyszczykoeczews2616]

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

[@vanishnobin9159]

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.

[@phenomenalphysics3548]

Omg! The guy from 3blue1brown 💞💞💞

[@tcatking9761]

is that 3blue1brown's voice?

[@peanutbutter7639]

It’s Grant Sanderson 🤗🤗🤗

[@tom_bhai675]

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

[@shane2286]

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

[@gtaonline3542]

I thought this was a 3blue1brown video

[@SkanderTALEBHACINE]

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

[@ankitaaarya]

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

[@siddharthvijay8617]

is this the guy from 3Blue1Brown????

[@강봉준-m4k]

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

[@TheHumanHades]

3b1b is my favourite youtuber. Are you really the same.

[@redberries8039]

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

[@BlueOrange1]

Awesome! thumb up!

[@damejelyas]

i dont see khan Academy I see 3 blue 1 brown

[@hje9021]

Thank you ...TT

[@karancontractor586]

tyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

[@krishanlallaxiib4589]

🎉🎉❤️❤️ HEY GUYS HAVE YOU DIFFERENTIATED YOUR MOUSE POINTER ALSO???🎉🎉😂😂

[@hyunwoopark9241]

Is this Gront Sonderson?

[@theoleblanc9761]

Grant Sanderson *

[@justinweaver375]

This has the "potential" to be very interesting!

[@ethanvirtudazo1657]

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

[@luckygamer9197]

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

[@fahnub]

That's Grant's voice!

[@bartonpaullevenson3427]

Very simple and to the point! Thanks for posting!

[@juliocardenas4485]

3 blue 1 brown !!! I’m safe

[@henryzerpa8476]

hola

[@mayanksoni7635]

3b1b?

[@mayanksoni7635]

@Bob Smith hello?

[@matheusyuri6004]

I love you 3 blue 1 brown

[@namik2b]

WOW, you did it so simple.

[@samvhora9076]

3blue1brown 🔥🔥🔥🔥

[@HeavyMetalShredder]

3B1B!!!!!

[@harshal.rathore]

I know this voice 😌

[@ramankumar41]

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

[@keithwallace5277]

OH i know this Voice ;)

[@tripasect1271]

We lovve you Grant.

[@DylanWoods-kw6km]

THREEBLUEONEBROWN!

[@mrhatman675]

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

[@poppyflorist]

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

[@vkv392]

really good....

[@somerandomuserfromootooob]

Grant!!?..

[@yiranwang9588]

3blue1brown????

[@UntakenNick]

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

[@maahir3871]

3b1b is that u sir ?

[@LeonieHanneChannel-c3v]

Thanks sir

[@Kapilsharma-uc1fs]

is that grant

[@shararan23]

It’s grant!

[@brd8764]

steel time.

[@MaarceloHenrique]

3B1B????

[@mohtasimtamjeed]

yes Grant Sanderson, same person

[@giovannyespitia632]

nudge

[@MyBilal19971]

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

[@Gunth0r]

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

[@billbuyers8683]

derivative is the amount of change in a function

[@higuy_14]

What? why is 3blue1brown here?

[@LSEMTSARARINDRA]

Tsara raha ty fa Anglais nahavoa azy leroa...

[@ericsparkman1303]

Thank you for all your awesome videos

[@Mohamed_Shokry]

is he the same person in 3blue1brown?

[@accumall3027]

exactly the same... no doubt

[@isaacfernandez2243]

What course is this video taken from?

[@arashchitgar7445]

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

[@paperexplained]

3blue1brown is that you?

[@accumall3027]

is his baby

[@MeatMaster69420]

Literaly was my savior throughout my school life so far

[@ycombinator765]

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

[@kanxo2583]

Imposter

[@ngm_4092]

3blue 1 brown... I love this guy

[@arachan5280]

thank you so much this is very helpful

[@kevinshao9148]

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

[@jamesmiller2521]

so basically bunch ("vector") of derivatives

[@empty-m3m]

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

[@cmiclassof]

mi lost to this

[@kamsitheprince]

Bruh

[@ΚωνσταντίνοςΛαζαρίδης-ξ9ι]

Thanks!