Hi, it’s your student Jaden from a few years ago, just appreciating how much your channel has grown in just a few years! Keep up the great work! Let’s get 100K :)
I’m in a BC calc class and we have finished everything up to u sub integration by parts partials and diff eqs and slope fields, and although I had to pause it you teach it an such an easy way that you can’t get lost. New sub earned thanks man!
Nice compact math video 😄 I dislike the use of "tangent inverse" though, since tangent doesn't have an inverse. But the original note used arctan at least!
@@polymathematic First, thanks for taking the time to reply! I'm not sure it's really worth your time. It seems like he's just using a conversational definition for math terms. I just heard about it and I really enjoy your videos and how you explain things.
To me it looks like a kids drawing but to my dad, I remember seeing lots of similar equations on his chalk board at home. Sadly not even my ADHD could pick up any of it 😮
So the dx in the formula means the derivative right, and that derivative is itself not just one value, but a curve of possible values(slopes, of the 1/root x +1 stuff), and it's the area under THAT curve, from 0 to .5, that's equal to ln(phi)? I ask because I tried graphing in desmos to visualize this video but couldn't get it to work.
Hi, it’s your student Jaden from a few years ago, just appreciating how much your channel has grown in just a few years! Keep up the great work! Let’s get 100K :)
Jaden, good to hear from you! Yes, the channel's a little more successful than back in you day :). Hope things are well for you and your family!
@@polymathematic Thank you, you too!
I’m in a BC calc class and we have finished everything up to u sub integration by parts partials and diff eqs and slope fields, and although I had to pause it you teach it an such an easy way that you can’t get lost. New sub earned thanks man!
Glad you enjoyed it! Thanks for the sub :)
How serendipitous!
Nice compact math video 😄
I dislike the use of "tangent inverse" though, since tangent doesn't have an inverse. But the original note used arctan at least!
Have you heard about terrence howard and his 1x1 = 2 "proof"?
i have! i've considered doing a video on it a few times, but i don't know that i can come up with a unique angle.
@@polymathematic First, thanks for taking the time to reply! I'm not sure it's really worth your time. It seems like he's just using a conversational definition for math terms. I just heard about it and I really enjoy your videos and how you explain things.
To me it looks like a kids drawing but to my dad, I remember seeing lots of similar equations on his chalk board at home.
Sadly not even my ADHD could pick up any of it 😮
I created another cool integral like this
(0 to π/2) ∫ ln( 1 + 4sin²(x) ) dx
The answer is πln(φ)
nice! i'll have to play around with that to see if i can get there on my own :)
So the dx in the formula means the derivative right, and that derivative is itself not just one value, but a curve of possible values(slopes, of the 1/root x +1 stuff), and it's the area under THAT curve, from 0 to .5, that's equal to ln(phi)? I ask because I tried graphing in desmos to visualize this video but couldn't get it to work.