The most soluble and miscible proof and the smoothest of logical derivation for a simplified,yet atomic scale interpretation and visualization. Absolutely stupendous!!!
I'm a math teacher myself and I have made it a point in my career to also have exemplary handwriting. It makes math easier to follow for students if they are not guessing what you just wrote on the board. His explanations are clear, his pacing is perfect, he gives context before diving in. This guy is a natural. I only assume he's a college professor/high school teacher.
Just as I was trying to understand better L'hopital rule I found your proof, really helped me understand by using the definition of derivative with lim, tysm, wish you the best! :)
I love the proof. It is an ‘ if A, then B’ proof. You start with part of B and jump back to A and use that information to rewrite the expression. When the rewriting from A maths the writing of B, the proof is done. Thank you Doctor. The proof is simple and shiny. Looking forward to the next proof.
thank you for making this the exact information i was looking for, ive watched like 10 different videos on this and they are all too complicated, too fast, or too long to get to the point, your video answered a lot of questions i had that nobody elses videos were covering
Thank you so much! this really helped me understand the rule and it's a really elegant proof, and in general your channel is incredible and I cannot believe you don't have more subscribers. However, I've heard that l'hopital's rule works in other cases besides 0/0 like for example infinity*infinity - have I been misinformed or is there some way to further derive other applications of the rule?
Thank you. I hope some day the channels grows sufficiently. Yes it works for any of 'the seven deadly sins'. I have a video of all 7 forms. However, the function must be rewritten as a rational function to apply L"Hospital.
@@PrimeNewtons ah ok, good to know - I actually did watch your seven sins video, so what your saying is that basically all indeterminate forms in some way are derived from 0/0 and as such can have l’hopital’s rule applied to them if expressed as a quotient?
Dear sir. Very Good evening. The explanation part is excellent. The spelling of the rule is to be corrected as I guess. It is L'HOPITAL'S RULE with a hat symbol over O.
Thank you for this explanation! Can you give us any function which needs another application of l'Hospital's rule ? And by the way your handwriting is nice !
You should have seen how my jaw nearly fell off my face at the end when everything for the proof of L'hopital's rule comes together. I just got no words since my jaw is on the floor except that there should be a trigger warning for this. A Trigger Warning to warn people that there jaw will be on the floor for the simplicity and comprehensive nature of the proof
@@PrimeNewtons I do like the proof. Can you do another video with the rigorous proof? Also one that handles infinity / infinity and the other variations? You do such a magnificent job of presenting, sir! 😃
Share a thought? This theorem requires a vivid demonstration for a memory-able understanding. May i suggest the following. Sketch -graph on board: Draw f(x) which is dome -shaped and going through zero at x=a. Also on the same graph, sketch the corresponding f' (x) ; of course with f ' (a)= zero. ..... then also draw th same for a carefully selected g(x).. discuss. what you see. ... Good luck, and have god time having such an enviable job.....suresh
I believe in L'Hopital's rule, and I believe in your proof. I am still working on understanding why it makes sense in concept, and I'm almost there. If both numerator and denominator are racing toward infinity, the question is which one gets there faster. In other words, how do their derivatives compare. And since we're heading to infinity, any finite conditions (for example, a constant added to the top or bottom) cease to matter. I think my logic holds up. But when it's 0/0, my logic is a little flimsier. I feel like, if your function is approaching zero, then the reciprocal of your function is approaching infinity, so the same "infinity" logic might apply. But I haven't convinced myself that it's a valid argument.
Brief and simple. Hands down one of the most excellent proof, sir
Thank you! I’ve had difficulty in understanding L’hopital’s rule, and your tutorial is a big step in the right direction.
The most soluble and miscible proof and the smoothest of logical derivation for a simplified,yet atomic scale interpretation and visualization. Absolutely stupendous!!!
Superb Mr Newton. Never seen such simple proof like this.
You are making calculus look like driving a car❤.
God bless
This dude is the best math teacher on the Internet. Born to do this.
The handwriting is perfect makes everything so clear
Thanks
I'm a math teacher myself and I have made it a point in my career to also have exemplary handwriting. It makes math easier to follow for students if they are not guessing what you just wrote on the board. His explanations are clear, his pacing is perfect, he gives context before diving in. This guy is a natural. I only assume he's a college professor/high school teacher.
Just as I was trying to understand better L'hopital rule I found your proof, really helped me understand by using the definition of derivative with lim, tysm, wish you the best! :)
Can't believe i lost 8 marks for such a simple proof😭😭
Tshwarelo. Phephisa ngwana ntate.
One of the best proof i have seen so far, Not even involved Mean value theorem here.
This is the first time I am seeing the proof of L'Hospital rule.
Thanks very much.
You're very funny
It helps relieve the tension and increase understanding
I can rewatch and laugh while learning 😅
Short, sweet and effective. Many thanks.
😊
Thanks!
Thank you!
I love the proof. It is an ‘ if A, then B’ proof. You start with part of B and jump back to A and use that information to rewrite the expression. When the rewriting from A maths the writing of B, the proof is done.
Thank you Doctor. The proof is simple and shiny.
Looking forward to the next proof.
You are an excellent teacher. God bless you.
Thanks man i hope you get the views u deserve helped alot ❤️
Your teaching method is very good
I watch videos on maths on different channels. But found your explanation very impressive and simple.
Thanks sir , Ur teaching method is awesome
Amazing explantion! It helped me a lot to undertand the concept and solve my limits homework! Thank you so much and keep doing it!
Oh my God, thank you so much! This video helped me understand the proof so much more easily! Thank you! Fantastic video!
thank you for making this the exact information i was looking for, ive watched like 10 different videos on this and they are all too complicated, too fast, or too long to get to the point, your video answered a lot of questions i had that nobody elses videos were covering
You're the best thank you 🎉🎉🎉
Thank you so much for this video it has helped me so much, glad you made it :)
Destiny helper indeed. thanks dear sir.
really useful and not complicated , Thanks sir
Beautifully explained. Thank you so much
A very nice explanation!
Thank you so much! this really helped me understand the rule and it's a really elegant proof, and in general your channel is incredible and I cannot believe you don't have more subscribers. However, I've heard that l'hopital's rule works in other cases besides 0/0 like for example infinity*infinity - have I been misinformed or is there some way to further derive other applications of the rule?
Thank you. I hope some day the channels grows sufficiently. Yes it works for any of 'the seven deadly sins'. I have a video of all 7 forms. However, the function must be rewritten as a rational function to apply L"Hospital.
@@PrimeNewtons ah ok, good to know - I actually did watch your seven sins video, so what your saying is that basically all indeterminate forms in some way are derived from 0/0 and as such can have l’hopital’s rule applied to them if expressed as a quotient?
Correct!
@@christophvonpezold4699 Yes
Such an elegant proof! 😮
Very clear and emotional explanation😂, thank u so much!
Yes. Thank you so much ❤️
Thanks a lot for this clear explanation and helping me in the middle of the night 😊
Thank you,teacher.Hello from Turkey!
Wow. This was super easy to understand. Well done, sir!
Thank you so much! Your video is so helpful!
Fantastic video ❤️❤️
YOU ARE REALLY GOOD SIR, THANKS
Wow , a perfect lecture. Thank you.
What about ±∞/∞ indeterminant form?? We need a proof for that too because L’Hôpital’s Rule also works for this indeterminant…
I always thought this was hard to prove, great explanation. Thanks for the video 👍
Nice to know that this is clearly from differentiation from first principle.
Clear explanations, easy to grasp ;)
You absolutely blow my mind i was just do Differentiation and it makes for sence to see the formula to pop up like that.
Great work friend 😮
Damn, the derivation of l'hospitals rule was very elegant
U’re def going to save my grades this semester❤
Thanks for ur video, you makes math becomes so simple!!!!
Thank you! Awesome proof.
Thanks for saving my mental health
A simple proof. Thank you
Excellent explanation Sir. Thanks 👍
Powerful 🙏🏿👍🏾❤
Very good explanation bro....your looking very cool best of luck
Wow, this is super clear.
The best explanation I've seen so far
What an elegant proof!
Beautiful proof
Dear sir.
Very Good evening.
The explanation part is excellent.
The spelling of the rule is to be corrected as I guess.
It is L'HOPITAL'S RULE with a hat symbol over O.
I've seen that spelling too. I suppose we do what we like these days.
hello! he used to write his own name with an s. that ô replaced the silent s
excellent👏👏👏👏
Very simple and brilliant proof.
Nicely, nicely! Well done!
I love you THIS HELPED ME SO MUCH 😊😊😊😊
😘😘😘❤️💕💕💯😋🤣💜💙❤️😍❤️🔥
Thanks for the help ❤from Nepal
thank you very much!!
The proof is as smart as your cap.
That Bernoulli was one clever chap!😃
Thank you for this explanation! Can you give us any function which needs another application of l'Hospital's rule ? And by the way your handwriting is nice !
Thank you for your kind words. Another video coming later today.
you are the best sir
It's SUPERB and really simplified..... thnnx
"You cannot write zero over zero, any time, anywhere."
YOU JUST DID
Oh nooooo!🤣🤣🤣🤣🤣
Math is beautiful! Thank you 🦋
thank you sooo much sir this video is helpful for me
you nailed it bro, thank you so much
Tu es top mon cher Newton !
Thank you, I can understand it now, thank you so much
Thnk you.....have understood now
This was very helpful, thanks!
Excellent Video!
Thank you very much!
You should have seen how my jaw nearly fell off my face at the end when everything for the proof of L'hopital's rule comes together. I just got no words since my jaw is on the floor except that there should be a trigger warning for this.
A Trigger Warning to warn people that there jaw will be on the floor for the simplicity and comprehensive nature of the proof
Just LOVE IT! Thanks.
good explainations
Thank you sir 🙏
🎉 Great 👍. Thank You. Regards.
Nice proof. 9:59 Aye. I've seen this before!
WOW 😳👏 definitely subscribing thanks a whole lot🙌
thank you sir _/\_ amazing explanation, i wassearching for this
Excellent teacher
please make a video to explain Rolle's theorem
👍
I apologize for the delay. I should make a video or Rolle's theorem soon.
Beautiful 🎉
So precise
Actually, as long as both the numerator and denominator both reaches 0 or +- infinity it would be good. Proof is a bit longer but similar in the end.
Wow very useful!!! Thank you
Nice proof! So, why did you put proof in quotes in the title of the video?
Some would say it's not rigorous
@@PrimeNewtons I do like the proof. Can you do another video with the rigorous proof? Also one that handles infinity / infinity and the other variations? You do such a magnificent job of presenting, sir! 😃
BEAUTIFUL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Clean Hands ...perfect proof .
Thank you, sir 😊
You're welcome!
Well done
Do this proof in a math class 1 exam, you will get zero obviously. But if you do this proof in a k12 class, they will think that you are genius
Thank you!
You're welcome!
Share a thought? This theorem requires a vivid demonstration for a memory-able understanding. May i suggest the following. Sketch -graph on board: Draw f(x) which is dome -shaped and going through zero at x=a. Also on the same graph, sketch the corresponding f' (x) ; of course with f ' (a)= zero. ..... then also draw th same for a carefully selected g(x).. discuss. what you see. ... Good luck, and have god time having such an enviable job.....suresh
I believe in L'Hopital's rule, and I believe in your proof. I am still working on understanding why it makes sense in concept, and I'm almost there.
If both numerator and denominator are racing toward infinity, the question is which one gets there faster. In other words, how do their derivatives compare. And since we're heading to infinity, any finite conditions (for example, a constant added to the top or bottom) cease to matter. I think my logic holds up.
But when it's 0/0, my logic is a little flimsier. I feel like, if your function is approaching zero, then the reciprocal of your function is approaching infinity, so the same "infinity" logic might apply. But I haven't convinced myself that it's a valid argument.
I would suggest looking at 3blue1brown's video about L'Hospital's rule. He uses a lot of visuals to help you intuitively understand calculus concepts.