Very nice proof, I will remember this one. Thanks for your video
@typerys3805
22 күн бұрын
great video! the physical/geometric analogy is really novel and always a joy to see! I'm a little upset that arctan'(x) = 1/(1+x^2) was never brought up explicitly. the common proof of this immediately follows the chain rule and it would have been fun to see how the two approaches connect.
@QuantumHistorian
21 күн бұрын
Yeah, the meat of the video is essentially calculating the derivative of arctan geometrically, weird to not say it explicitly. The rest is just set up.
@smoother4740
21 күн бұрын
Thanks for the appreciation. I actually wanted to include the formal proof which include ‘arctan’ in the ‘Extra’ part. It can indeed be connected directly to this visual representation, I just couldn’t do it due to the time constraint.
@user-bv7fh1kd6s
23 күн бұрын
Best SoMe I've seen this year so far (I haven't seen a lot but still I think it's very good)
@shaharjoselevich7169
21 күн бұрын
yo
@smoother4740
21 күн бұрын
Thanks, appreciate that.
@MissPiggyM976
21 күн бұрын
Very interesting, thanks!
@jakeaustria5445
23 күн бұрын
Thank You
@phyarth8082
23 күн бұрын
Integral of "Witch of Agnesi" function for a=1/2.
@smoother4740
21 күн бұрын
I looked at it now, I never saw this before i would have included it somehow in this .
@SINxGREED
20 күн бұрын
Beautiful man!
@dimastus
20 күн бұрын
Cool video!
@El_Ghalye
21 күн бұрын
👌👌👌👌👌
@korigamik
23 күн бұрын
Great expansion! Will you share the source code for the animation? How do you do your voice over?
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