I think it would be better if it was called pringle...

@dreamscapeai7

4 жыл бұрын

Yeah, but the term saddle was coined before a pringle was manufactured

@ahmedaj2000

3 жыл бұрын

that's what i was thinking too lmao

@ajmackewicz

2 жыл бұрын

Student on a test: "And there is a pringle point at (0, 0)." Professor: *visible confusion*

@YLprime

2 жыл бұрын

pringle engineering

@shawezonline

Жыл бұрын

Pringle shape was derived from concept of saddle point

The statement "If the derivative is zero in a point in singlevariable calculus, it is either a minimum or a maximum" is obviously false because it could happen that the second derivative is also zero -like the point 0 for x^3

@Jojo-hz6rk

6 жыл бұрын

Raphael Schmidpeter Yep. And it's called a point of inflexion.

@nickmilkshake2661

6 жыл бұрын

Agreed

@surajitdasgupta2540

4 жыл бұрын

You guys are really great

@LayneSadler

2 жыл бұрын

you missed the word "local"

@carultch

Жыл бұрын

That's why the 2nd derivative test is inconclusive, when the determinant of the matrix is zero.

This is just gold for me, I promise that when I get a job and (some) money I'll give it all (well, maybe not all) to Khan Academy, it's not just that you're helping me on College, you're also motivating me to follow some sort of a dream that I have. I'm so thankful with these and other content creators who want to share it's knowledge to everyone who wants to learn. (Also, sorry if I have errors in my grammar, non native speaker)

@llllllllllllllllllllllllIIIIl1

Жыл бұрын

how are you doing

@kibme5189

Жыл бұрын

The time has come to honor your promise! In other words it is time for you to pay up buddy.

@KSM94K

10 ай бұрын

Okay time to pay now, not sure if you're with us

@SpeaksYourWord

7 ай бұрын

@@kibme5189 Lmao he disappeared

@abhaypratapsingh6067

6 ай бұрын

u alive my frnd ? pay the bill then

The visualizations are pure gold!

As ever, an adequately comprehensive and clear exposition of a relatively involved topic. Many Thanks.

I wish Grant could go through and refresh all of Khan's older videos - Grant's stuff is just simply brilliant.

For one variable case it is actually possible for a tangent plane to be flat for neither maximum nor minimum (inflection) 4:36

Always heard of saddle points... A local min and max! It's like you're close to a local max and yet so far away. Darn saddle points...! These vids are great, thanks for making them.

Hey Grant !! Regarding your statement of Saddle points is a new concept in Multi -variable calc and the example about the single variable calculus --- In single Variable Calculus there exists a point called the POINT OF INFLECTION where the tangent has zero slope but it is neither a maxima nor a minima.. INFLECTION points are similar to saddle points because in such points the neighborhoods have different tendencies just like the fact that the partial derivatives have different tendencies here. So please Refer. But by the way you are doing a fantastic job by making the viewers really understand the topics through real 3d graphs... THANKS!! lots of love...

@zairaner1489

7 жыл бұрын

Exactly. Like x^3

@stephenbeck7222

5 жыл бұрын

Inflection points in single variable generally are not where the first derivative is zero. That’s the difference.

As an engineer, I find this sort of mathematics makes me *grin* (and bends my brain)... particularly when you look in terms of data structures in (computer) programming. In 2D (a "table" array), the X-variable and the f() (or Z) can have 'obvious' maximum and minimum values... in 3D (a "cube" array of 3 items), both the X-variable AND the Y-variable can be a maximum AND/OR a minimum... but you only realize this because you can see what's going on from a 3D viewpoint. What happens when we start thinking in 4D and beyond!? Time to re-visit 'Flatland' by Edwin A Abbott...

Solomon Khan I owe you my life I kept trying to visualize and draw what a saddle point would look like today in class with no luck. The 3D graphics really help

@AdityaFingerstyle

7 жыл бұрын

The instructor in this tutorial is not Sal

That's a beautiful visualization, thanks :)

These graphics are awesome and help so much conceptually, thank you! 🙏

awesome what a beautiful graph It makes it easy to understand.

Khan academy is my new Netflix! Love it! Thank you very very much!

How does one person know so much?

@pt-ri4ng

7 жыл бұрын

Khan Academy

@liabraga4641

6 жыл бұрын

3blue1brown actually

@shivkarj1456

3 жыл бұрын

Both

very good explanation, thanks!

Thank you so much sir I was unable to understand saddle point before. Thank you for teaching me.

Awesome Videos!!! Thanks a lot Khan :))

Great visualisation

such a clear description of the saddle point

What about energy surfaces??...can u any explanation about those chemical reactions involving saddle points in their ordinate diagrams

Great inituitive video 😊

For everyone commenting about whether saddle points are new concepts or not- I see what you mean but I think he is talking about cases were where the second derivative is not zero. IE, the function he is displaying has a negative second derivative with respect to y, but a positive second derivative with respect to x. That is the new concept.

Very insightful

what is the software, you are using for the graph?

@TheAcujlGamer

4 жыл бұрын

Python

i want to know in which app he makes the graphs

How are plateaus treated in maxima and minima? When are they considered an extrema point?

could you say that saddle point is a point equilibrium between the x and y planes?

Great explanation! May i ask you what program you are using?

thank you

What software do you use to do this???

I don't know how to thank you!!!

What about f(x)=x^3, then f'(x)=3x^2 and for x=0 f'(x)=0. Is it a saddle point, because it isn't local maximum or minimum?

*Cries in inflection point*

Could x^3 (at x=0) be referred to as a "saddle point" for a 2d function? Or does it have another name?

@Oh-lk2qd

Жыл бұрын

Point of inflection

what is the Definition of saddle point

That's the voice of 3 blue 1 brown

I love 3blue 1brown so much!! :>

this 3d graphic is cool

Sir which website or sowtware are you using for graph????plzzz reply

@AnshJhatakia

5 жыл бұрын

Suraj Thapa I believe that this is the Grapher app built into Macs.

@AnshJhatakia

5 жыл бұрын

It’s very similar to Geogrbra 3D!

3B1B is here!

You compare the existence of saddle points in multivariable calc. to their lack of appearance in single variable calc., but what about a function such as f(x) = x³, which has a point of inflection whose tangent has 0 slope? Such functions also appear in multivariable calc, too, such as f(x, y) = x³ + y³.

@fb-gu2er

7 жыл бұрын

an inflection point is not the same as a saddle point

@JivanPal

7 жыл бұрын

fernando berlanga​​ What about the more specific case of an inflection point at which the derivative is 0, like I mentioned? Is there any difference there?

3blue1brown?

I kind of disagree with Grant, the point of inflection in single variable calculus is very similar to the saddle point, e.g. f(x)=x^3 f'(0)=0 but the origin is neither a maxima nor a minima. Both require computing second derivative

y=x3 − 6x2 + 12x − 5 at x=2 => saddle point ...

So basically saddle points have replaced stationary points of inflection (X=0 for stuff like y=x^3) in the 2D world. Interesting

they should rename it to 'pringle points'

At 4:39 your sentence is wrong... Because in x^3 at x=0 there is no local maximum not local minimum..... But it is a critical point...

Please someone tell me the name of the instructor

@svaditya2896

3 жыл бұрын

Grant sanderson

Pringle point!!

This voice looked familiar. It’s Grant from 3blue1brown

grantttttt Sanderson 🤩🤩

king

It's Grant, woohoo!!

Is it 3blue1brown?

When you end up coming back here after studying MVC and Harmonic functions...

Grant Sanderson of 3Blue1Brown KZread channel.

Woah 3b hey

Awesome discussion ... Really it's praiseworthy ... But I have a question if you don't mind... and the question is - Would you please provide me the information which software are you using for this type of animation ? Waiting eagerly for your reply

Are you 3blue1brown guy ?? I know it's ur voice 😳

EYER NOKTASI ( evet ebildiğiniz atın üstündeki eyer)

3blue1brown i know

What about f(x) = x^3, it's a single variable function but it has f'(x)= 0 at x= 0. Yet at x=0 it's neither a maxima nor minima

@satanxavier6774

3 жыл бұрын

But this video is about two variable function

Tsu ❤

pringles!

K

3blue1brown

Science is not about 'y', it's about 'y not'

You know one thing Mr. Khan.. People like you prove me wrong everytime I believe that God does not exist on earth..

3blue1brown