Partial derivatives and graphs

[@robertstan2441]

1:55 the thing my toilet sees everyday

[@TechnoSan09]

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

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

[@navneet7075]

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

[@zes3813]

This is art.

[@jyothishtr6460]

Is this 3blue1brown?

[@jordanjacobson6046]

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.

[@joeybasile545]

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

[@igg5589]

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

[@MsChocolisious]

These videos make me happy to learn! ^_^

[@NovaWarrior77]

Good to hear! Me too.

[@shahf13]

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

[@TheLocoUnion]

This man is the Bob Ross of math!

[@Xx_Eric_was_Here_xX]

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..

[@cybernaut_ev3106]

Love the explanation and the graphics.

[@curtpiazza1688]

Love the graph "slicing" ! 😂 🎉

[@dilpreetsingh4199]

Thank u for making it so simple

[@rishitsrivastava2345]

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

[@yougetchandan]

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

[@MrBigmit37]

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

[@sols8-ee799]

Super cool video!

[@umairalvi7382]

What a great explanation.

[@Code65115]

Perfect explanation

[@zhenniqi136]

Can i say,wow!what a great job!

[@raheelroy2448]

Great job 👍👏🎉

[@impogg5942]

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

[@aharonmalachi]

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]

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

[@hel_0568]

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

[@rossholst5315]

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?

[@anykmmkyna]

dear Khan Academy … please what is the application program you are using for this 3d graph thanks alot

[@Why_did_YouTube_add_handles]

So its essentially just finding the change in output with respect to change in x where y values are constant?

[@mrmathsacademy3343]

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

[@dhruvgarg8113]

Beautiful!!!!❤️❤️

[@jagsproduction]

You are awesome!♥️♥️♥️♥️🙏🙌🙌🙌🙌

[@lynsikeye3714]

Thanks so much! This helped!

[@nila-333]

Thank you so much

[@KK-rg3nj]

graphs are the best

[@arkapravamanna]

Really best videos

[@suryanshkhatri5570]

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

[@sandipansarkar9211]

good explanation

[@콘충이]

Thank you!

[@aaa-battery316]

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

[@omarallam4548]

Great♥

[@PANKAJKUMAR-yc3jn]

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

[@requiem_co]

same question for me

[@joypalit6408]

what software did u use?

[@546mukulsharma8]

Good video

[@alibader910]

and what does fxx and fxy mean in geometry?

[@prajwaldeepkamble6617]

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

[@makotowang4363]

directtional dedriative

[@kisore20gp]

Awesome

[@AvielLivay]

Beautiful!!

[@mostafaEOY]

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

[@mrmathsacademy3343]

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

[@Ferddddi]

Mac Grapher

[@telephonerock]

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

[@xynyde0]

its the grapher

[@diaracing]

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

[@nailsandnotes]

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

[@arkapointer]

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]

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.

[@tmacchioni]

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

[@ekeebobs7520]

Yes it is.

[@turcugeorge5874]

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

[@ijarbis187]

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

[@baxi9227]

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

[@High_Rate136]

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]

But sel Khan is best all the time ..

[@pradyu8335]

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

[@jeroincababat565]

I'll leave this comment to remind myself to rewatch the lecture when someone likes this comment.

[@anshul9856]

LOVE YOU WHOEVER DISLIKED THIS MUST BE BLIND

[@bennyblanco3322]

You sound like timothy sykes

[@akshaybrawlstars6333]

Slope of a slize of a graph

[@anaslamaiz2079]

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

[@computeconnect3396]

Can you please tell me the plotting software used

[@ijarbis187]

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]

@@ijarbis187 Its manim. He makes the program himself

[@1paper1pen63]

Oh 3b1b.

[@puddingninja]

I thought so

[@CheesyHotDogPuff]

I have to do this shit in uni? Fuuuck

[@tripp3468]

it's actually pretty interesting.

[@deltagamma1442]

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

[@anonymoustraveller2254]

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

[@KaziRifatMorshed_is_here]

I guess, Mr Grant Sanderson speaking 🙄

[@pinkospace9040]

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

[@xingyubian5654]

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

[@ahmedel-hindawi9226]

maaaaaaan

[@zahrankhalil8209]

second !!

[@yashdesai8372]

oversimplified

[@michaelchen7312]

how would you explain it?