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Jones Helen Davis David Young Christopher

Integral ln^2 (sin x) pls explain

We can use lhopitalle rule

Anderson Elizabeth Martin Robert Robinson Jose

Clark Betty Rodriguez Carol Lopez Lisa

Martin Donna Gonzalez Margaret Miller Paul

Hmm......this was very helpful I now understand something that previously took me around three hours to understand 😊

gracias

thank u!!!

Master indeed! Thank you!

Beautifully explained! Thank you! Can not wait for more videos from you. Please don't stop, you have too much to offer...

Excellent communication skills! Thank you for the time you took to make this video!

6:50 can I apply L Hospital rules because it is now 0/0 form.

best explanation ever, tyvvvvm

Real

Still can't get it 😢😢😢.

I was solving a question and used th cos3x formula. I saw the answer and it was completely different than mine. Now, I have understood what they did. Thanks!

What the fucj

This method is the best

What a beautiful video and presentation

dear sir some point you didn't clear it is very difficult to understand for beginners. like you didn't clear from where n and m had been come . I hope you will reply my comment and help me to understand this

sir you fulfill my desire. I also saw many video in many channels but did not understand anything. Best luck for your future

on the other side , any function say a^x , the derivative would become a^x times limit as h approaches 0 of a^h - 1/h , which gives some random irrational number (which ln a) , so we would ask , so is there any number ,so that we take derivative the limit becomes 0, yes that is e , so most likely it is one of e definition you can say from another persepective

Thank you teacher ❤

I always wondered why lim h→0 (aʰ-1)/h = ln a Thanks for explaining it

Thank you! You helped me a lot!

I do it with lim[(lnx-lnx0)/x-x0] x->x0. becomes limln(x/x0)/(x-x0) x->x0 Then i pose u=x/x0 and the limits becomes lim lnu/[x0(1-u)] that lim(lnu)/(u-1)=1 using N-L theorem and squezze theorem u->1

Sir this lecture was osm ❤ I am preparing for jee advance and i want you to solve such problems ❤ love from india

I have a question

Extremely helpful, thank you!

❤

Not the only function. Also y=0

Best

Appreciate your hard work sir ❤

you are so underrated i wish you the best

Nice explanation!

Hey sir where are you from

Fantastice Few people take one or two tablets

Thank you

This is incredible. Thank you very much! I've never heard of a conic graph but this view is truly fascinating for some reason.

Can anyone explain why in 5:25 you can take the 1/x out of the limit, saying it's "independent of the letter m" - after all m is defined as a function of x?

Right at the start you have circular reasoning. You see, d/dx e^x = e^x IS a definition of e. Such that e is the only value of n that satisfies d/dx n^x = n^x. All definitions are equivalent, so what you are doing by taking the definition of e at the start is effectively saying: to prove d/dx e^x = e^x, we first start by asserting d/dx e^x = e^x. You see the problem? Using the limit definition of e is exactly the same as using the derivative definition of e. But more than that, YOU CANNOT PROVE A DEFINITION, if you could you wouldn't need it to be a definition in the first place. No matter what you do, you simply cannot prove it without some kind of circular reasoning. Maybe we will develop the maths tools someday that allow us to prove the value of e, but until then, we can only define it.

Thank you so much sir ❤❤ from Kurdistan

Thank you so much

Thank you! You make it very easy to understand :)

Why did we turn the triangle anticlockwise

Beautiful ❤️

What about x^n.e^x?

Thanks for the video, from Chile

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