♾!

So glad your back!

this is so amazing. thanks a lot

He’s back HES FINALLY BACK

I pray every night for videos like this 😂

Why are you talking like that? Are you ill? A stroke, maybe?

I really appreciate this video. I took vector calculus over two years ago and thought I forgot a lot from the class, but after watching this video realized that I remembered more than I thought

please don’t leave us 2 years again 🥲

Don't make us wait so long next time

Excellent video on vectors! Really appreciate the quality put into the video, please continue uploading!!

the website doesn't render is it just me?

the goat returned with another banger

I'm literally studying calc 3 rn. Took a break to fond this video.

He is back!

Commenting for the algorithm

He uploaded when we needed him the most!

really sad that u dont get that much views u put alote of effort in a good content and at the end this what u get :( shame on u youtube

From France, that was verry interesting, nice job !!

this was very very helpful was a bit too fast though as i had to keep processing so many things just said while listening to what is being said after it really rests on your previous understanding (strong understanding) of previous topics)

✨👌🏻

I finally found the answer , i finally knew where logarthims come from

thanks. can you stop cutting the intervalls between the sentences. it feels as if you are a metallic robot and makes the speech sounds weird.

'haitch' - houch!

that's one beautiful gem ❤ this is the first time I ever understand the logic behind integration by parts

13 37 63

When you integrate then you add a constant. Why can't you subtract a constant?

your voice infuriates a deep segment of my brain used to suppress my primal urge to pillage, kill and destroy. besides that this video is very well made 😊

Let's always do alot of good ❤️

Արդեն համը հանում եք,երես առաք,ցրվեք

Nice Video!

research found that lebnitz stealed madhvacharya series and named it lebnitz theorem. it is quite possible that differentiation may has been stealed from ancient indian textbooks. so we know that Newton laws are already mentioned in the ancient textbook of India. What should we conclude then?

4:46 stopped understanding from here , please help i have an exam

Made sense till he got to k anybody explain how subbing k for n can switch the exponent 1/k

This was a great video thank you so much! :D

it's confusing lol, i'll rewatch it <3

😅E

2:53 0.5772156649

Amazing!

Absolutely spectacular and still so underrated. How come I have no clue. Deserves millions.

I believe you used the wrong compounding interest formula to start the video. For 50% twice a year, it should be shown in the form (p+1/2p)(p+1/2p). And for payments made 3 times a year it should be shown in the form (p+1/3p)(p+1/3p)(p+1/3p). They are then combined into their exponent forms using the power rule, and there is no need for any factorization or expansion to begin limit evaluation of the function.

At around 6:22 I think you made a slight mistake in your wording. “Because the derivative is itself, this makes y = e^x one of the fastest growing functions.” That’s not the reason it grows fast, the reason is because it’s an exponential. For example y=10^x grows faster than y=e^x even though it’s not equal to its derivative.

I WAS VERY HELPLESS ON KZbin TO FIND OUT A RIGHT VIDEO TO LEARN THESE LESSONS. THEN THIS ONE CAME. THANKS A LOT. LOVE FROM INDIA

I throw a problem here 😂 Find the value of A such that the graphs of y = A^x and y = ln x have only one intersecting point.

is this cowculus?

WOW! Best explanation I have heard EVER! Thank you SOOO much, this has helped me beyond belief!

Yes above 12 don't work for 13 😂😂😂

5:12 good place to recap

Why you say e^x is one of the fastest growing functions? 10^x is growing faster. So its fast growth is not specific to e or specific to e being the special number that makes the derivative equal to the function.

Please stop saying factorizing and just say factoring

Finally a clean video Thanks!