I only hope that ProfRobBob eventually finds and reads this comment. For I would like to genuinely thank you for the time and effort you've put forth to teach the world mathematics. I am in an online calculus class essentially teaching myself everything( no assassinates from my professor). As a result these videos have proven to be invaluably important to my success. As a result I deem an appreciative and meaningful thank you due to ProfRobBob.
I did find it and I want to THANK YOU for taking the time to share your appreciation and send such a sincere comment! I'm glad my lessons are helping you get thru that Calc class too...maybe there is someone you could share my channel and your experience with thru the online sign up so they could list my channel as a study reference to future students...BAM!!! Thanks again for choosing my channel to learn from and the shout-out:)
So THAT'S what Rolle's Theorem is. Thank you so much. I also wanted to let you know I got a 98% on my exam for my summer calc 1 class thanks to you! I very much appreciate your great lectures, they really saved me!
I thought I couldn't be happier than I was in my math class but then I came across your channel. Awesome energy! And everything is just so clear. Thank you very much!
I hope you are doing well in covid lockdown sir I'm on this channel for the first time love your energy and " i hope I'm taking that man's name right " was really a perfect comic. Well take care sir.
I always enjoy watching your videos because they help me understand the math concepts better and provide me an alternate view to them that isn't typically taught at my school. Thank you!!!
You're welcome and thanks for studying subbing to this channel! Please tell all your friends, classmates and teachers to watch and do the same, then ALL the students can benefit from this free channel and the free we have to offer:D
I too am sorry that I do not have enough Calculus videos to see you through the year, that's alot of math in one year...stay motivated and keep seeking extra help along the way and you do awesome:) Thanks for supporting my channel for now!
+Robert Coggin thanks for choosing my channel to study with and for taking the time to share your appreciation! Please like, sub and share this channel with others...BAM!!!
That zero I cancelled was from the way I found the derivative the first time...changing x into sqrt(x^2). I unintentionally added a factor of zero. And if you look at the denominator before cancelling the x, it would have equalled 0 when x was 0 which is basically undefined (indeterminate form). If notice in the second way I showed how to find the derivative when I came back to the example, that extra x was not there. Graphing the function shows the slope is not 0 at x=0 as well.
I honestly like the few mistakes that you keep in the video rather then redoing it. Even though they are not huge mistakes, it shows the viewers that you are still human and okay with a little fun. I don't really know how to explain it. But you did a great job with this video! If I had to add some constructive criticism, at the end of the video, do a detailed yet quick recap of the steps to performing Rolle's Theorem (or the exercise in future videos).
Thanks for the continued support Dean! Please don't forget to sub and keep sharing this channel with everyone, even your teachers, so all students know where to find free help if they are as self-motivated as you to study...BAM!!!
Straight up "Go do your homework!" at the end XDD!! Really helpful video especially the 2nd example of why rolles theorem can't be applied to csc x because of it not being continuous! Thanks
+aakash patel you're welcome and thank you for taking the time to study and for choosing my channel to learn from and sub to! Please share it with all your friends too:D
The text I teach from is pretty clear in its direction when you need to use the Mean Value Theorem and Rolle's Theorem. Basically you need to find at what value of c is the tangent line parallel to the secant line. As far as applications…could be instantaneous rate of change is equal to average rate of change. Google applications of….
+Sagnik Dey I do love teaching, thanks for watching and liking...please take the time to subscribe and share my channel with everyone looking for free math help:D
Hi professor! Your video is very easy to understand and helpful! Do you have any videos regarding the proof for all these theorems? I am struggling while trying to understand the proof myself :(
+Parameswar Ghosal you are welcome! Please take the time to support these free educational channels by liking, subbing and sharing the ones that help you with everyone:D
BAM!!! that's awesome Kyle Evjen ! I'm glad I can be there to help you thru your journey...stay focused and as motivated as you are now and you'll have that degree before you know it:)
THANK YOU! You are absolutely correct....get it..."absolute"ly:D ok, so maybe that is not funny. I will make an annotation correction when I get to a real computer and not on my ipad. Thank you again for letting me know about my error.
Great video. I just have one question: in the first example, the original denominator (before you cancelled an x) was 3x^2 + 18x. Setting this equal to 0 would give you the answers -6 and 0. Since 0 is on the closed interval [-9, 0], wouldn't 0 also be an answer? (Also, another question -- is the interval open or closed? If it is an open interval, why?) Thanks!
Great video. I just have one question: in the first example, the original denominator (before you cancelled an x) was 3x^2 + 18x. Setting this equal to 0 would give you the answers -6 and 0. Since 0 is on the closed interval [-9, 0], wouldn't 0 also be an answer? (My textbook, this video, and other videos seem to say conflicting things about the interval [whether it is closed or not]. Can you please clear this up for me?) Thanks!
hey professor ... im so happy to find your channel on youtube ... the videos are well done and the lessons are well explained ... but i have a question : when u wrote radical(x^2) instead of x ... is that true ? i mean suppose that x=-3 .... so we cant write it as radical[(-3)^2] because that would be 3 ... so we cant find a square root that is equal to -3 .... i guess we should know the interval where x belongs when we do this step ... if x is negative then we should write : - radical(x^2) if x is positive then we should write : radical(x^2) in this exercise if we restrict our selves to the interval ]-9 , 0[ i guess we should write - radical(x^2) ... i hope you clarify this point to me and thankss again for the video :)
This is a perfect example as to how teaching on UA-cam has made me a better teacher. I do plan these video ahead of time as I would never want to teach my students and viewers incorrectly. But I do make mistakes, and some are errors my classroom students may never notice while the wider audience of the internet will. Well this video has such an error which you have pointed out. I realized this type of mistake a while ago based on another internet question but did not realize/remember this lesson had the same error. By going off my notes to show an alternative method of writing the function before finding the derivative I unintentionally introduced an absolute value function. The absolute value of x can be written as Sqrt(x^2). Both the original function and my "new" function have a slope of zero at the same x value, but this is still a mistake in my work. I cut out the first version of the derivative. This will make this lesson choppy, but it will have to do until I can reshoot this lesson. Thank you so much!!!
did you ever make a video on simplifying how to derive functions involving roots? I have a habit of having to take, say the square root of x, and write it as x^1/2, which gets a bit messy when you derive, since youre multiplying that by the coefficient and then raising it to an exponent of -1/2. my professor always gets on my case about using negative exponents, so help there would be great
The function is continuous, you cannot say that it is not continuous. You have to say that it is not defined at pi over 2, 3pi over 2, etc. if x is not in the domain of a function then the problem of continuity does not arise.
+Tural Huseynov the "function" is indeed continuous but not differentiable. however, by definition it is not a function at all because it does not pass the vertical line test (the vertical asymptotes he was talking about) which is why rolle's theorem does not apply to f(x) = csc x
LOL...and teaching you something at the same time I hope:)...BAM!!! Don't forget, it's important to Like, SUBSCRIBE and spread the word to help my channel groW to help others Mi-lee Wilson :D
+AHINDRA DEB you're welcome and thanks for watching! Please take the time to like, subscribe and share this channel with others to help us keep growing:D
HAHAHA:) Part of the video was removed because you can see I wrote x as the square root of x squared, well that is equivalent to the absolute value of x. This did not change my final answer, where is the tangent horizontal, but I inadvertently changed the function. The correct process is displayed in the following scene.
If i have f(a)-f(b) = a^3 - b^3 and i have to prove that f '(c)=3c^3 ( all the rolle's requirements are fullfilled for the f(x) accept that f(a) doesnt equal f(b). Can i do the following to solve this : 3c^2 = (c^3)' => f '(x)-3x^2 = ( f(x) -x^3)' g(x) = f(x) - x^3 , x→[a,b] g(a) = f(a) - a^3 = f(b)-b^3 g (b) = f(b) - b^3 Since g(x) is continues (sorry if i killed the spelling) in [a,b] , g(a)=g(b) and it's differencial ( i have no idea if this is the right word xD) in (a,b) we can use rolle's theorime : g'(c) =0 g'(c)= 0 ( f(c) - c^3)' = 0 f'(c) - 3c^2=0 f'(c) = 3c^2 I hope you can understand my comment , english isn't my native language and my "math vocabulary" is quite poor :\
I am really sorry. With my full time teaching schedule and my current efforts to Close Caption my lessons I am not able to keep up with math questions at this time. If this is a textbook problem there are many student/teacher solutions to many textbooks at Slader.com. I wish I could be more helpful.
ProfRobBob Actually, I am very happy that you take the time to go deep in the explanation. Sometimes we get stuck in the middle of a problem because we cant remember how to do an algebraic simplification. Please do not change your way of teaching because it is highly appreciated. Many thanks once again!
Lilli Flower no plans on changing my teaching style after 19 years of teaching...thats why there is a fast forward key and many channel choices! But I'm extremely happy that YOU choose MY channel to watch and learn from and I really appreciate all of your continued support:) THANK YOU once again too...BAM!!!
Thanks for watching, learning and subbing ***** ! Please share my channel with everyone and remind them to like, subscribe and spread the word to help this channel groW and continue to help others...BAM!!!
I hope you are doing well in covid lockdown sir I'm on this channel for the first time love your energy and " i hope I'm taking that man's name right " was really a perfect comic. Well take care sir.
Thank you for your concern. Thankfully my wife and I are healthy and doing well. I will try my best to stay that way as the new school year approaches.
You're welcome and I truly appreciate that you chose my video to watch and learn from and found it so helpful!
I only hope that ProfRobBob eventually finds and reads this comment. For I would like to genuinely thank you for the time and effort you've put forth to teach the world mathematics. I am in an online calculus class essentially teaching myself everything( no assassinates from my professor). As a result these videos have proven to be invaluably important to my success. As a result I deem an appreciative and meaningful thank you due to ProfRobBob.
I did find it and I want to THANK YOU for taking the time to share your appreciation and send such a sincere comment!
I'm glad my lessons are helping you get thru that Calc class too...maybe there is someone you could share my channel and your experience with thru the online sign up so they could list my channel as a study reference to future students...BAM!!! Thanks again for choosing my channel to learn from and the shout-out:)
So THAT'S what Rolle's Theorem is. Thank you so much. I also wanted to let you know I got a 98% on my exam for my summer calc 1 class thanks to you! I very much appreciate your great lectures, they really saved me!
WHOOHOO!!! That is awesome 👌 👏 🤓👨🏫💯 I am so proud of you. You did all the work and deserve all the credit. Bam 💥
I thought I couldn't be happier than I was in my math class but then I came across your channel. Awesome energy! And everything is just so clear. Thank you very much!
You're welcome and thank you for choosing my channel to watch and learn from!
I hope you are doing well in covid lockdown sir I'm on this channel for the first time love your energy and " i hope I'm taking that man's name right " was really a perfect comic. Well take care sir.
Thanks for tuning in and yes we are all doing as fine as we can during these unusual times and appreciate new viewers like yourself!
I always enjoy watching your videos because they help me understand the math concepts better and provide me an alternate view to them that isn't typically taught at my school. Thank you!!!
You're welcome and thanks for studying subbing to this channel!
Please tell all your friends, classmates and teachers to watch and do the same, then ALL the students can benefit from this free channel and the free we have to offer:D
I too am sorry that I do not have enough Calculus videos to see you through the year, that's alot of math in one year...stay motivated and keep seeking extra help along the way and you do awesome:) Thanks for supporting my channel for now!
You're welcome....and keep watching and learning!
Now Closed Captioned #math
I disagree with Sudhir Jha, I like when you go over details, it makes easier to understand the concepts and the WHYs! Great video, as always! =]
Thanks for your continued support Felipe, good to see you still watching and learning!
I love your energy and enthusiasm, keep up the good work!
manute bol thanks for watching and liking, please sub and share my channel with others to help us keep growing:D
good work Mr.tarrou ....keep learning and teaching ....
Thanks..will do...BAM!!!
Love your videos! Appreciate you doing what you do and dig the energy and enthusiasm you bring to your tutorials. Cheers!
+Robert Coggin thanks for choosing my channel to study with and for taking the time to share your appreciation!
Please like, sub and share this channel with others...BAM!!!
That zero I cancelled was from the way I found the derivative the first time...changing x into sqrt(x^2). I unintentionally added a factor of zero. And if you look at the denominator before cancelling the x, it would have equalled 0 when x was 0 which is basically undefined (indeterminate form). If notice in the second way I showed how to find the derivative when I came back to the example, that extra x was not there. Graphing the function shows the slope is not 0 at x=0 as well.
I honestly like the few mistakes that you keep in the video rather then redoing it. Even though they are not huge mistakes, it shows the viewers that you are still human and okay with a little fun. I don't really know how to explain it. But you did a great job with this video!
If I had to add some constructive criticism, at the end of the video, do a detailed yet quick recap of the steps to performing Rolle's Theorem (or the exercise in future videos).
The function must be continuous on the closed interval and differentiable on the open interval.
It's take my 30 minutes ...But i have a clear concept of Rolle's Theorem...
Thank you sir...
I am injamam from Bangladesh(south asia)
watched this guy though highschool, he got me into uni and i'm still watching him.
Thanks for the continued support Dean!
Please don't forget to sub and keep sharing this channel with everyone, even your teachers, so all students know where to find free help if they are as self-motivated as you to study...BAM!!!
This guy needs a raise.
Just sub and share so I can get more subscribers and keep growing:D
Straight up "Go do your homework!" at the end XDD!! Really helpful video especially the 2nd example of why rolles theorem can't be applied to csc x because of it not being continuous! Thanks
+aakash patel you're welcome and thank you for taking the time to study and for choosing my channel to learn from and sub to! Please share it with all your friends too:D
The text I teach from is pretty clear in its direction when you need to use the Mean Value Theorem and Rolle's Theorem. Basically you need to find at what value of c is the tangent line parallel to the secant line. As far as applications…could be instantaneous rate of change is equal to average rate of change. Google applications of….
i love your classes...and that shortcut...i knew you could do something like that...thanks!!!
profRobBob really explains well until the concept comes out clearly. I like that...
BAM!!!
Awesome just got everything cleared about "The Rolle's Theorem" Thanks!!!
Thanks for liking and learning...please sub and share too:D
Great vid! Keep it up. You seem to genuinely like teaching and enjoy it.
+Sagnik Dey I do love teaching, thanks for watching and liking...please take the time to subscribe and share my channel with everyone looking for free math help:D
Hi professor! Your video is very easy to understand and helpful! Do you have any videos regarding the proof for all these theorems? I am struggling while trying to understand the proof myself :(
I'm sorry I don't Cheryl Tee :(
But thanks for watching my channel!
thank you very much sir . you cleared my all doubts related to Roll theorem . thank you very much sir .thank you .
+Parameswar Ghosal you are welcome!
Please take the time to support these free educational channels by liking, subbing and sharing the ones that help you with everyone:D
In 7:20 you should turn x to sqrt(x)^2 not sqrt(x^2) because the latter one is equivalent to the absolute value.
I want you to know how helpful this is to me... between you and patrickJMT I think I might make it through my first year of engineering!
BAM!!! that's awesome Kyle Evjen !
I'm glad I can be there to help you thru your journey...stay focused and as motivated as you are now and you'll have that degree before you know it:)
THANK YOU! You are absolutely correct....get it..."absolute"ly:D ok, so maybe that is not funny. I will make an annotation correction when I get to a real computer and not on my ipad. Thank you again for letting me know about my error.
Great video. I just have one question: in the first example, the original denominator (before you cancelled an x) was 3x^2 + 18x. Setting this equal to 0 would give you the answers -6 and 0. Since 0 is on the closed interval [-9, 0], wouldn't 0 also be an answer?
(Also, another question -- is the interval open or closed? If it is an open interval, why?)
Thanks!
Thank you. Could you please tell me when should I use the mean value theorem and the Roll's Theorem?
Great video. I just have one question: in the first example, the original denominator (before you cancelled an x) was 3x^2 + 18x. Setting this equal to 0 would give you the answers -6 and 0. Since 0 is on the closed interval [-9, 0], wouldn't 0 also be an answer?
(My textbook, this video, and other videos seem to say conflicting things about the interval [whether it is closed or not]. Can you please clear this up for me?)
Thanks!
U are simply great sir
Thanks for watching and taking the time to say so!
Thank you, this really helped. I truly appreciate it.
This video changed my fucking life! Thank you so much man. NEVER STOP TEACHING!!
hey professor ... im so happy to find your channel on youtube ... the videos are well done and the lessons are well explained ... but i have a question :
when u wrote radical(x^2) instead of x ... is that true ?
i mean suppose that x=-3 .... so we cant write it as radical[(-3)^2] because that would be 3 ... so we cant find a square root that is equal to -3 .... i guess we should know the interval where x belongs when we do this step ...
if x is negative then we should write : - radical(x^2)
if x is positive then we should write : radical(x^2)
in this exercise if we restrict our selves to the interval ]-9 , 0[ i guess we should write - radical(x^2) ...
i hope you clarify this point to me and thankss again for the video :)
This is a perfect example as to how teaching on UA-cam has made me a better teacher. I do plan these video ahead of time as I would never want to teach my students and viewers incorrectly. But I do make mistakes, and some are errors my classroom students may never notice while the wider audience of the internet will. Well this video has such an error which you have pointed out. I realized this type of mistake a while ago based on another internet question but did not realize/remember this lesson had the same error. By going off my notes to show an alternative method of writing the function before finding the derivative I unintentionally introduced an absolute value function. The absolute value of x can be written as Sqrt(x^2). Both the original function and my "new" function have a slope of zero at the same x value, but this is still a mistake in my work. I cut out the first version of the derivative. This will make this lesson choppy, but it will have to do until I can reshoot this lesson. Thank you so much!!!
You're welcome:)
That penmanship though...
Really amazing tutorial.
Than you so much! You're a great teacher!
Thank you so much, Prof.
You're welcome...don't forget to sub and share too:D
did you ever make a video on simplifying how to derive functions involving roots? I have a habit of having to take, say the square root of x, and write it as x^1/2, which gets a bit messy when you derive, since youre multiplying that by the coefficient and then raising it to an exponent of -1/2. my professor always gets on my case about using negative exponents, so help there would be great
Check out the first example in this video Introduction to Implicit Differentiation starting at 6:41 and see if that helps.
thank you so much for helping us
+Miaad you're welcome, thanks for taking the time to study, sub and learn from my channel! ...and for "thanking" the teacher:)
Great video, really helpful
Thanks for watching...please sub and share too:D
The function is continuous, you cannot say that it is not continuous. You have to say that it is not defined at pi over 2, 3pi over 2, etc. if x is not in the domain of a function then the problem of continuity does not arise.
+Tural Huseynov the "function" is indeed continuous but not differentiable. however, by definition it is not a function at all because it does not pass the vertical line test (the vertical asymptotes he was talking about) which is why rolle's theorem does not apply to f(x) = csc x
Thank you so much!!!
...and thanks for supporting my channel all the time:)
Keep spreading the word:D
Great video!
+Buffet Time thanks for watching!
Why the function is not differentiable at closed interval ?pls explain sir.
Would 2sec (x) work for rolles theorem?
How do you prove rolles theorem?
How can we show that f '(c) has a root if it is a horizontal line and does not cut the x axis??
Hahhah, his random pop ups are cracking me up!
LOL...and teaching you something at the same time I hope:)...BAM!!!
Don't forget, it's important to Like, SUBSCRIBE and spread the word to help my channel groW to help others Mi-lee Wilson :D
Damn, he skipped the differentiation. That thing looks scary to differentiate. :p
New subbie. Thanks
THANK YOU April...please tell all your friends, classmates and teachers to watch and do the same:D
Yeah... I sure will.
"This is the product property...." Five ow-has lay-tehr.....
Thank you a lot. :D
You're welcome Asmaa Zainalabidin ...and thanks for watching and subbing!
That's what we learn in the last class of high school and is the easy part of math that year :(
that was much helpfull thanx..............
+AHINDRA DEB you're welcome and thanks for watching!
Please take the time to like, subscribe and share this channel with others to help us keep growing:D
6:44 lol. boom, product rule in eight tenths of a second bitches
HAHAHA:) Part of the video was removed because you can see I wrote x as the square root of x squared, well that is equivalent to the absolute value of x. This did not change my final answer, where is the tangent horizontal, but I inadvertently changed the function. The correct process is displayed in the following scene.
If i have f(a)-f(b) = a^3 - b^3 and i have to prove that f '(c)=3c^3 ( all the rolle's requirements are fullfilled for the f(x) accept that f(a) doesnt equal f(b). Can i do the following to solve this :
3c^2 = (c^3)' => f '(x)-3x^2 = ( f(x) -x^3)'
g(x) = f(x) - x^3 , x→[a,b]
g(a) = f(a) - a^3 = f(b)-b^3
g (b) = f(b) - b^3
Since g(x) is continues (sorry if i killed the spelling) in [a,b] , g(a)=g(b) and it's differencial ( i have no idea if this is the right word xD) in (a,b) we can use rolle's theorime : g'(c) =0
g'(c)= 0
( f(c) - c^3)' = 0
f'(c) - 3c^2=0
f'(c) = 3c^2
I hope you can understand my comment , english isn't my native language and my "math vocabulary" is quite poor :\
I am really sorry. With my full time teaching schedule and my current efforts to Close Caption my lessons I am not able to keep up with math questions at this time. If this is a textbook problem there are many student/teacher solutions to many textbooks at Slader.com. I wish I could be more helpful.
ProfRobBob there is no need to apologise :) thanks for replying
what if function is f(x)=[2x] on (-2,2)
IM just joking you really will help me even though IM not in grade 14
Thanks for watching and taking the time to learn waseem sheraz !
Your welcome
3:37
+Sagnik Dey :)
很好的老师
Thanks
Don't waste time in explaining algebraic simplification otherwise very good explaination
I do tend to always over explain, but that's how I teach:) Thank you for the constructive criticism.
ProfRobBob Actually, I am very happy that you take the time to go deep in the explanation. Sometimes we get stuck in the middle of a problem because we cant remember how to do an algebraic simplification. Please do not change your way of teaching because it is highly appreciated. Many thanks once again!
Lilli Flower no plans on changing my teaching style after 19 years of teaching...thats why there is a fast forward key and many channel choices! But I'm extremely happy that YOU choose MY channel to watch and learn from and I really appreciate all of your continued support:) THANK YOU once again too...BAM!!!
whooo! clap
BAM!!!...thanks for studying and subbing!
thanx...
"Woooh, BAHAI." lol
Thanks for watching, learning and subbing ***** !
Please share my channel with everyone and remind them to like, subscribe and spread the word to help this channel groW and continue to help others...BAM!!!
BAM loool you are amazing with your words and your tutorials. It really does clear out a lot of stuff :) Do continue with your awesomeness.
***** and please continue to SPREAD THE WORD!
I swear I've seen you at York.
I don't know how I stumble upon people from York in the midst of millions of viewers online. Haha yeah you didn't see a ghost, don't worry
cool great
+Maichael Sorokhaibam or BAM!!!
what's written is my name:)
+Maichael Sorokhaibam oh, sorry:(
BAM!!
:)
@
This guy talks too much.
+Blahblah ooo He is explaining something. He is supposed to talk a lot.
+Ninjamonster124 :)
English please
I hope you are doing well in covid lockdown sir I'm on this channel for the first time love your energy and " i hope I'm taking that man's name right " was really a perfect comic. Well take care sir.
Thank you for your concern. Thankfully my wife and I are healthy and doing well. I will try my best to stay that way as the new school year approaches.
@@profrobbob also i didn't believe i commented this!