Visual proof of Feynman's Trick | Leibniz Integral rule

In this video you will see a visual intuitive proof of #Leibniz_integral_rule , which is used in #Feynman's_Trick.
So, Sit back and enjoy.
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Background music : "Sappheiros - Dawn" is under a Creative Commons license (CC BY 3.0)
Music promoted by BreakingCopyright: bit.ly/2OBe00v

[@maxwellchiu6859]

Watched and read 10 things before hitting this video. Gives complete understanding.

[@Cheenta]

Thank you for watching

[@maxwellchiu6859]

Absolutely beautiful!!!!

[@Cheenta]

Thank you so much!

[@williamberquist3923]

This video is great. Can you help me understand the part of the proof that occurs at 1:52? Where f(x, t + delta t) = f(x, t) + delta t * partial d/dx f(x, t) + ...

[@kaziaburousan166]

Sure.. that part is basically a series expansion. But in layman's terms
We vary the parameter t by a small amount Δt, then this can be understood by the fact that the function will also increase a little bit, which can be written as
It's previous value + (Δt) (the change of f for unit t)+ .. other terms.
So the basic trick is to think the δf(x,t)/δ(t) as how much f(x,t) changes for a unit change of t . So for δt you just multiply with it.

[@robertopatt3510]

loved it everything was perfect

[@Cheenta]

Thank you for watching

[@danabaxterfadlerspiios9706]

Well done!

[@dirichlettt]

Excellent animation!

[@Cheenta]

Thanks for watching!

[@GaneshAher1729]

NOICE!

[@syedaspanditazaman235]

Love it 😍💞

[@naseralimondal2072]

It's amazing brother

[@salmanparbhage2228]

Wow! Oo my god it's amazing

[@anirbanchowdhury2043]

Nice kazi da.👍👍

[@visualgebra]

Please provide source code for these kind of animations.

[@kaziaburousan166]

Here is the code bro - github.com/Rousan99/Azazaya/blob/4eaf0886ed2e2aff761834b21edf6610547cd5bb/Cheenta_project/proof_without_words/feynman_trick.py
All codes will be uploaded there. So, just visit it after 1 or 2 days of uploading the video. Hope it helps.

[@visualgebra]

@@kaziaburousan166 Thank you My brother🎓🎓

[@worldnotworld]

I don't understand. The parameter t can affect all sorts of things; it's not necessary a constant added to f.