Symmetry of second partial derivatives

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There are many ways to take a "second partial derivative", but some of them secretly turn out to be the same thing.

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Oh man, this voice. Greeting 3blue1brown

maheryagub

Thanks a lot for those two intro videos on partial derivatives, now I finally understand that what is a partial derivative both graphically and algebraically.

I'm a high school student just

I highly recommend you to not miss any of the last 3 videos before watching this.

omkumarsingh

Could you plz analyze this fact with graph, excellent lectures.

rajendrarai

MAAN! You're an artist. I cannot thank you enough.

youneslamsaoui

The cartesian refraction notation is partial by constant in diverse expression using dispersion in velocity to the quantities medium also geometric internals can concave convex bisector Abberation on filgment construct using ratio good luck

MalkinsonJenkinson

Hi Mr., could you please explain that theorem which says that mixed partials are not always equal?

elnurazhalieva

Please give a intution on second order partial derivatives

shreyankduttdwivedi

Watching this without ads
I think youtube is gonna blow up

peternasser

Can you pls do some videos for 3+ variable functions ? I'm really struggling

elinanikolopoulou

Your tone puts me at ease with topics that would otherwise scare me off

tjm

What should i learned to understanding this lecture help

refugeec

Why didn't you take the second partial derivative of sin(x)(2y) at 5:33?

jvanvynck

But are partial derivatives commutative?

baltofarlander

but why is this always true?? Is there anywhere I can go to get the intuition behind it?

Ravstar

He didn't completed the pyramid. :(

সমুদ্রসন্তান

ts not fx or unf. not all purpox intex, notnex

zes

Please don't take trigonometric examples man.

allaboutwindows

Bruh just use X and y as examples not sin💀

CONG

Don't make it hard people. the first derivative is the slope of the tangent line, or the instantaneous speed, and the second derivative is the acceleration.

jerrymahone

And what is the meaning of 2nd partial derivative ?
I mean ... 1st partial derivative shows us a change of our function in certain direction, right?
What 2nd derivative shows us?
Thanks

SooZoodimp

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