Gradient

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

[atraps]

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

[eduquest]

Tears roll down my face after listening this beautiful voice.

[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.

[anonymoustraveller]

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.

[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.

[ShirimeCid]

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

[slickwillie]

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

[cubby]

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.

[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

[jrremix]

3blue1brown with sloppy animation. love it <3

[aadityasingh]

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

[MrLikon]

3blue1brown? come to numberphile next pls xD

[MeatMaster]

Literaly was my savior throughout my school life so far

[ramankumar]

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

[bartonpaullevenson]

Very simple and to the point! Thanks for posting!

[ycombinator]

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

[Festus]

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

[강봉준-mk]

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

[kevinshao]

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

[chamidumadumal]

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