Spencer Jones America doesn’t appreciates the teachers as much as other countries like Mexico. School should celebrate and put emphasis in the profession of teaching.
@@nischalacharya5674 I have plenty of professors that i very much do not appreciate, difference from being a genius and being able to teach or atleast speak english
@@ishpreetsingh8125 That means you professors are not confident enough. But, whatever you say, Feynman and Khan can be called the best Teacher's of this generation.
Mr. Khan I thank you so much for your videos. I wish the world can take a lesson on teaching from you. I have watched so many videos on math, physics.....etc no one explains them better then you.. Thanks again
I heard about khan academy when I was in 6th grade but never gave a thought of how much advanced they are, this was made 13 years ago and now I am watching it and loving how much its better than my school education
Thanks so much for such a clear explanation! I don't even understand what my lecture notes and book are talking about. But I understand it through your video!
You are a god. You simply explain things so much better than any professor I have had. It makes me sad to think of all the things I could learn better granted my tutor was as clear and defined as you are.
Was looking forward to more Calculus videos because you explain them so well and I need all the help I can get. Thank you so much and please keep them coming!
This video teaches way better than my professor can teach this concept. This video is more understandable and makes this concept somewhat interesting to learn. Nice job!
I love where he raises hi's voice when he gets an answer, then he realises he made a wrote it wrong, erases hi's answer and then raises his voice to write the answer again. lol (7:25)
Thanks for a great explanation. L'hopital's rule was part of a Calculus module I did in my degree in 1976. I never had cause to use it in the last 47 years (!), but I understood your vid. That says more about the vid than my maths knowledge :) :)
So incredibly useful, also worth mentioning if your answer is still undefined you can just keep differentiating it, until you get 0 infinity or some number. You'll also perhaps begin to see how we can have then have diferent sizes of infinity, infinity over infinity can be 0 some number or infinity.
Thank god for this rule!!! Makes it a lot easier to find the answer to Limits and to also test if Limits do exist or not!! And thnx Sal for explaining!!
@@darksavior1187 The circumflex means that there used to be an s after the vowel, and it's no longer there. It was a shorthand for scribes that caught on. Hospital became Hôpital
There is actually a problem here. You cannot use L'Hopital's Rule to do the limit of sinx/x because the derivative d/dx(sinx)=cosx is in fact established on the result that lim x-0 (sinx/x)=1.
Paul Wang He's not using L'hopital's rule to prove it. He already proved it in a previous video using the squeeze theorem. This is just a way of verifying L'hopital's rule.
Usually I really appreciate Khan's content, but the example here uses circular reasoning. The derivative of the sine is computed using the result of that limit, and then the same derivative is used to compute that limit.
because when doing L'Hopital Rule, before that rule applies, any limit that has an undefined answer, in sinx/x is 0/0 which is undefined, therefore you can apply L'Hop Rule and find f'(x)/g'(x) which is straightforward. Sure you could have done quotient rule, but this is faster and more efficient :D
That's because L'Hôpital is a French name, and in France ( and other countries with latin based languages like Spain, Brazil, etc) the names can be spelled different than in english.
It all makes sense now: They were laughing at me for calling it "el hospital." (I always wondered a Spanish hospital had to do with indeterminate limits.)
No it's just undefined. When you get conflicting rules together like 0/0, then it's indeterminate. The reason is one rule would be anything over itself is 1, but another rule is anything divided by 0 is 0, and another rule is 0 divided by anything is undefined. So there are 3 different conflicting rules.
awesome tutorial .. but i have a question can we apply lhopitals rule when the expression becomes 1/0 or any a/0 while directly putting limit x... plx need answer
for the sin x / x example you can't really apply this method since this limit is literally proof of the derivative of sin, meaning you assume cos is the derivative of sin to prove derivative of sin is cos...
You're not taking the derivative of the function as a whole, but each individual part. So you'd take the derivative of sine, then take the derivative of x
This is the future of education. Khan Academy teaches in ten minutes what can't be taught by, "Professors" in an hour. Thank you!
Spencer Jones America doesn’t appreciates the teachers as much as other countries like Mexico. School should celebrate and put emphasis in the profession of teaching.
@@nischalacharya5674 I have plenty of professors that i very much do not appreciate, difference from being a genius and being able to teach or atleast speak english
He leaves out certain things.
Who is here during the pandemic?
Well you did predict it
Why do I bother going to class?
Thank God for this man.
hey sasori
This guy loves his math haha. He seems to get so excited, that it even pumps me up!
This refreshed in 8 min what my teacher took an hour to explain :) Great vid, now going back after break may not be so painful, thanks!
I don't know why my professor didn't explain things clearly like this. He explained it in the worst, most complicated way possible.
N It's because, they are paid.
Teaching in class in front of everyone and behind camera is different
@@ishpreetsingh8125 hahahaha look at us now
@@ishpreetsingh8125 That means you professors are not confident enough. But, whatever you say, Feynman and Khan can be called the best Teacher's of this generation.
@@novaastronomia8720 UNACADEMY IS THE REAL GAME CHANGER......IF U WERE INDIAN....😋😋
Mr. Khan I thank you so much for your videos. I wish the world can take a lesson on teaching from you. I have watched so many videos on math, physics.....etc no one explains them better then you.. Thanks again
ADI FADHEL yes the organic chemistry tutor does
Thank you for coming into my life Khan Academy :')
And thank you for coming into it without making me cry
happyforeverjoy sounds dirty.
Thank you so much! You explained it so much better than the professor I pay hundreds of dollars for at a University, it's so clear now.
AyrtonSennafan003 it's because you only pay attention when you have to
Well, Universities are just to get a degree, right? Internet became a better source of knowledge than any teacher.
You guys learn this in university? It is in junior high school in India, when we are 15
Thank you for getting me through Calculus, you are my hero. I'll have you know my Calculus professor recommends your help!
I heard about khan academy when I was in 6th grade but never gave a thought of how much advanced they are, this was made 13 years ago and now I am watching it and loving how much its better than my school education
Thanks so much for such a clear explanation! I don't even understand what my lecture notes and book are talking about. But I understand it through your video!
You are a god. You simply explain things so much better than any professor I have had. It makes me sad to think of all the things I could learn better granted my tutor was as clear and defined as you are.
Khan academy goes so hard, I’m not even in calc yet and I’m already getting a decent idea of the curriculum
Was looking forward to more Calculus videos because you explain them so well and I need all the help I can get. Thank you so much and please keep them coming!
I don't understand how this is so much easier to understand. In class this seems impossible, looking at this it's like "Well shit, that's it?"
I am learning how to follow this method when I am taking calculus for the first time in the fall semester, in 2020! : )
Straightforward and concise
This video teaches way better than my professor can teach this concept. This video is more understandable and makes this concept somewhat interesting to learn. Nice job!
Thanks man, I have a quiz today and this helped sharpen me on this particular part. I appreciate your work and how much it helps.
I laughed every time he said law-pit-all instead of loh-pee-taall. french is hard
my teacher says "L Hospital"
according to my textbook, he actually called himself L hospital
Daemon S Mine too. I guess some professors deserve to be in Hospitals.
in French, hopistal -> hopital, and they pronounce it (oh-pee-tall) instead of how we Americans pronounce it (ha-spit-ull)
Sachin Nair in french it's more of a Oh-Pee-T-Ah-L. Not Oh-Pee-Tall
Now education is waiting for a revolution.....That Donation is not only to khan academy that is for the whole world.
I love where he raises hi's voice when he gets an answer, then he realises he made a wrote it wrong, erases hi's answer and then raises his voice to write the answer again. lol (7:25)
Thanks for a great explanation. L'hopital's rule was part of a Calculus module I did in my degree in 1976. I never had cause to use it in the last 47 years (!), but I understood your vid. That says more about the vid than my maths knowledge :) :)
So incredibly useful, also worth mentioning if your answer is still undefined you can just keep differentiating it, until you get 0 infinity or some number. You'll also perhaps begin to see how we can have then have diferent sizes of infinity, infinity over infinity can be 0 some number or infinity.
Thank god for this rule!!! Makes it a lot easier to find the answer to Limits and to also test if Limits do exist or not!! And thnx Sal for explaining!!
It's L'H(oh)pital
sloppy towel
Correct, the circumflex(^) over the "o" makes it a long vowel sound.
@@darksavior1187 The circumflex means that there used to be an s after the vowel, and it's no longer there. It was a shorthand for scribes that caught on. Hospital became Hôpital
Sloppy towel
I kinda like "Lop-it-all"
wow ur the best explainer man .. Love it when everything comes to gather in the end
The best math guy out there! Thank you Mr. Khan!
This is an excellent explanation, does anyone know how it's derived? (mathematically, logically it just makes sense)
Greetings from the TU Delft
Great video :)
OMG thank you khanacademy I don't even need to go to calc class anymore haha
There is actually a problem here. You cannot use L'Hopital's Rule to do the limit of sinx/x because the derivative d/dx(sinx)=cosx is in fact established on the result that lim x-0 (sinx/x)=1.
Paul Wang He's not using L'hopital's rule to prove it. He already proved it in a previous video using the squeeze theorem. This is just a way of verifying L'hopital's rule.
I don't know this man's name but I so so adore him. I wish I could meet him one day.
Nicely explained
Man!!! I'm ready for the AP exam next week
You, sir, are the reason I made a decent grade on my Calculus exam. I literally cannot thank you enough! ^.^
I wish I'd have known this rule earlier on, it would've made my life so much easier.
Ik its 10 years later but I agree. It would be os helpful to have learned this earlier
I UNDERSTAND IT NOW. THANK YOU!
It’s funny how people pronounce it differently ,
Person 1 : LAPITAL
Person 2 : LOPITAL
Person 3 : ..... L - Hospital
indian?
Loh-pit-all!!!!
Nepali
mispronounce it in front of your teacher and you get sent to the l'hospital
This video saved me from falling,.. which i could give it five stars ♥
Hi Sal,
Looking forward to the proof on L 'Hopital's Rule or give more intuition why it actually works.
please make videos for Taylor's and Mclaurin's Theorems!!
Usually I really appreciate Khan's content, but the example here uses circular reasoning. The derivative of the sine is computed using the result of that limit, and then the same derivative is used to compute that limit.
you are just pure awesome for making these videos!!
Thanks, Khan Academy.This video was really helpful.
Khan academy is very useful
Thank you for saving my grade
can you please make a video for the proof of this rule , both 0/0 and infinity cases..
Thanks for sharing!!!
this is freaking awesome dude!
thank you khan for your excellent videos
Thank you so much.
Nicely planned video ❤
Super explaination sir
My 3 hours of confusing lecture... I get it noww!!!!
thanks for this video
because when doing L'Hopital Rule, before that rule applies, any limit that has an undefined answer, in sinx/x is 0/0 which is undefined, therefore you can apply L'Hop Rule and find f'(x)/g'(x) which is straightforward. Sure you could have done quotient rule, but this is faster and more efficient :D
gee Sal, thank you so much for doing this. WOW!! 😊
THANKS KHAN
Learning calculus for 3rd time. Just learned that Lhopitals rule gets limits using derivatives.
Thank you so much helped so much
It is great! Thanks a lot!
Hello. At 2:01 you have a mismatch between caption and speech. Should be "limit as x approaches c..."
That's because L'Hôpital is a French name, and in France ( and other countries with latin based languages like Spain, Brazil, etc) the names can be spelled different than in english.
thank you
Great work man
Thanks mate wonderful video!
good explanation
Thanks!
It sounds like "Lupita's Rule".
Thanks Sal!!!!!!!!!!!!!!!
It can be any combination of infinities.
If only I had watched this video before my cal 2 quiz this morning :(
It all makes sense now: They were laughing at me for calling it "el hospital." (I always wondered a Spanish hospital had to do with indeterminate limits.)
Love your videos !!!
Must you not use the quotient rule to evaluate sinx/x
So, your lessons are just perfect and obvious :) Also, what program is this?
DUDE...DUDE......i freakin luv ur vid . u helped me finally understand L hopital fukin rule u rock!!!!! subbed
plzz tell me the name of this program u are using to teach us.. its looking cool ;)
Good luck on the exam today😝
No it's just undefined. When you get conflicting rules together like 0/0, then it's indeterminate. The reason is one rule would be anything over itself is 1, but another rule is anything divided by 0 is 0, and another rule is 0 divided by anything is undefined. So there are 3 different conflicting rules.
What if the [2cos(2x-pi)] function is g(x) and 1 is f(x)
And the limit
x-->(pi/2)
1/2? It doesn't require l'Hospital. You can simply put the values in.
Mridul Ranjan but then sin(0) becomes the lower function so 0 in place of g(x) and if we put the limits in f(x) that too becomes 0 so 0/0
F/G = F'/G' because derivatives are linear transformations, so the ratio must stay the same between the functions
For the second case, do both functions have to approach the same infinity?
very good.
God bless you!!
awesome tutorial .. but i have a question can we apply lhopitals rule when the expression becomes 1/0 or any a/0 while directly putting limit x... plx need answer
this video is awesome sauce
Awesome- Bahamas
I LOVE YOU THANK YOU SO MUCH
Using l'Hopital's Rule to evaluate sinx/x as x->0 is circular logic
Test in 20 minutes, let's go!
thank u sir
Is there a video on the proof of L´Hopital?
Thanks
From hanyang
thx a lot
Thanks guy
for the sin x / x example you can't really apply this method since this limit is literally proof of the derivative of sin, meaning you assume cos is the derivative of sin to prove derivative of sin is cos...
You're not taking the derivative of the function as a whole, but each individual part. So you'd take the derivative of sine, then take the derivative of x