What do quadratic approximations look like

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After learning about local linearizations of multivariable functions, the next step is to understand how to approximate a function even more closely with a quadratic approximation.

[@daseinbot]

I'm really happy that you're making new videos on some advanced subjects! Thanks!
Will there be exercises for this?

[@mihailobush946]

So 3d Taylor series

[@joluju2375]

Approximation with tangent plane, then tangent paraboloïd ... perhaps multivariable Taylor series one day if that exists ?

[@ryanmike9833]

Needs to go in playlist... Also, thanks much for these. I'm always looking forward to more.

[@smolboyi]

Nice one! Thanks!

[@mauriciogarcia638]

Yoooo is the narrator the guy from 3Blue1Brown??????

[@Jack-mi4yd]

yes

[@zeekfromthecreek]

Is anyone else having problems with the sound along this particular stretch of videos? It fades in and out.

[@ionut.666]

which playlist is this part of? Can somebody share the link here please?

[@vijayanandvadhyar7224]

Love u

[@andrewedwards2881]

What program is he using? Thanks!

[@Scoopdive]

Looks like Grapher, standard program om Mac.

[@abhishekravindra4008]

It's manim

[@That_One_Guy...]

@@abhishekravindra4008 grapher

[@elibaum5489]

@@That_One_Guy... nope it's his own open source python package.

[@nishatmunshi4672]

Hello, i feel like its an analog of taylor series.