Rolle's Theorem

[@TheOrganicChemistryTutor]

Derivative Applications - Formula Sheet: bit.ly/4eV6r1b Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/iX2Vg6KYrLqSg5Y

[@temomatutu4965]

Can you please do a video on successive derivatives which don't include numbers. E.g find the nth derivative of Sin(ax+b)😢.

[@seo_willowtree]

2 years later, you still are the light and salt for my maths exams

[@dinithisahanika7823]

Did u fail your exam?

[@shachisharma8908]

@Su Hyeon kim From where are u?

[@christopherburris518]

4 years later for me

[@computerlover9290]

What do you mean by light and salt?

[@dash8779]

@@computerlover9290 salt and light means if you light on a salt the salt brighten like this the teacher is brighten to the student

[@kelvinthehuman]

As I've always said, KZbin should take its hat off before this guy and awards him as TEACHER OF HUMANITY. And gives him ALL HE WANTS: a house, money, etc.....

[@abstarkt]

started watching you in 8th grade for y=mx+b problems, doing calculus now and youre still clutch

[@frontback4574]

Tommorow is my exam , and it's so helpful , thanks alot Mr organic chemistry 😊

[@princeequalizer3715]

how was your exam?

[@frontback4574]

Prince Equalizer I got an A in calculus .

[@mujtabahussain7015]

@@frontback4574 hey, how's your studies going now?

[@frontback4574]

@@mujtabahussain7015 They're almost done and going well , preparing for my last semester exams now and hope to graduate this year.

[@mujtabahussain7015]

@@frontback4574 all the best for your future exams😊😊

[@jennyzhang1254]

It's so MUCH useful to my self-studying calculus !!! Thank you you filling my COVID-19 time to become better!

[@amjidahmed2399]

How are you?? I'm from Iraq and I didn't understand this Roll can you give me some informatoion about this

[@aayaanfarooq9427]

@@ian.ambrose bro chill he’s just asking a question. and he obviously means Rolle’s therom

[@vijay-jw8gq]

@@ian.ambrose calm down dumbass

[@SomeOne-xr7xu]

@@ian.ambrose where’s the harassment in his comment? people be taking up any chance to use these words in every convo nowadays even if the words aren’t fit 🤦🏽‍♀️

[@Noor-sl5ep]

​@@amjidahmed2399 هاي شنو حسبالي بس اني عراقي هنا

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for explaining the Full Version of Rolle's Theorem in Calculus One. This is one of the important Theorems in Calculus. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@miniii__5486]

Never seen a teacher who is good as he is 😶 thanks wish me luck for my exams 🖤

[@mrskelict5675]

so how did the exam go LOL

[@delusionalplatonist6077]

aCha bhaiyaGG

[@AnnoyedGolf-mb8gx]

Hie you guys alive?

[@olemahin]

Even my university teachers couldn’t teach me like this. God bless you bro!

[@renya2890]

there has never a time that this channel helped me with my college journey

[@itsaleenalol]

5 years later and bro always come through🙏

[@Chrisxx-tv3xu]

In calculus rn. This literally made me understand my teachers 30 min lecture in 6 mins….

[@PriggarGaming]

Every time I see In I read it as natural log as upper case I and lowercase l look same I l You tell me which is which...

[@Video13ification]

YOu have just explained in 60 minutes what I have been struggling with for weeks. (I watched your other videos.) Thank you!!!!!

[@sabex_og]

No intros no outro no rubbish gossips. Bro just came, taught what universities couldn't and disappeared. 🗿✨

[@jingyiwang5113]

Thank you so much! You explain Rolle's theorem really clearly. I have also recommended my friends to review the theorem by learning from your video.

[@shireenkhan6847]

i got an A minus in my calculus 1 course because of you. Now I'm in calculus with the same hope of you guiding me in this darkness.

[@eidolon9767]

How do you manage to explain in 20 minutes what my calculous teacher cant explain in an hour?

[@obakengsolomon]

6 years later and bro is still carrying our degrees 🙏

[@maitreyeepatil6331]

Thank you so much for this!! I missed some of my classes because I was tested positive and obviously I had to take a break. But this really helped me!

[@saniakakitchen4675]

Seriously your way of teaching is tooo good

[@azlf666]

If i knew there were great teaching videos like this before my exams i'd have probably scored well . My teachers are so dumb and their classes were soo boring .I didnt learned a bit of anything from their dumb classes.I wish i'd more time to learn from these videos😭😭

[@deliveringIdeas]

Hey, this video is old. Rolle's theorem doesn't work like that anymore. I was shocked when I found out Rolle's Theorem doesn't work anymore. I think it has something to do with South Korea and the bombing that happened in 2025 in Feb.

[@spiritofgamer78]

@@deliveringIdeas lol

[@tahmidislam6871]

This man, he’s like a gift from God

[@micahgomez9419]

Thank you so much for these videos they’re still very helpful today!

[@amy_muk]

Thank you very much! Your explanations are so thorough!

[@saurabhraj201]

I love studying mathematics in Chemistry Class. That's exactly what I do in normal classrooms...

[@marcusvergara6193]

Do you like studying physics, mechanics (subcategory of physics), biology and SAT practice problems? He does that also.

[@saurabhraj201]

@@marcusvergara6193 Yes and he's best in all of them.

[@malindagunawardhana]

thank you soo much after every lecture im here and make clear wht i`ve learn

[@alifarhanahmad3561]

Today is my exam and I'm here thanks buddy 💗

[@stephenbrock1231]

Have a 3 percent in calc rn thank you so much dawg!

[@andrewiaia8441]

Lol

[@Qwertyuiop-gh6up]

it was so helpful though im a korean student!! ur better than my teacher

[@olivelove_2000]

who said u will be my savior in everything physic chemistry algebra analysis statistics probability like damn ur gorgeous sir 🫡

[@weronikaonisk8355]

Thank you from Poland!

[@noellealqaissy5079]

i learned so much in 20 mins from this video than i did in the 1 hour i spent crying over my professors calc notes

[@sophiaonyoutube]

thank you sooo much! you just saved my student life.

[@sajalqasim3540]

Thank you so much sir! Even before watching this video i am sure that this video is going to be awesome...:)

[@virajkumar6436]

Series will be more helpful if you will upload videos on - what is continuity and differentibility. And what are their conditions. Your Disciple.

[@winstonava1]

hes organic chem, people should know that early calculus before watching this

[@supreetsingh987]

@@winstonava1 this is early calculus he doesn't just do orgo.

[@RAJPUTGAMER-kv7ge]

Love you bro you're light to Many. ❣️❣️🤝🏻

[@nurulsyahirahbintishahroln3369]

thanks fo this video its very useful to me , its help me study a lot

[@anthonycarsela563]

Great video like always! Thank you for the help.

[@madboycal7859]

If it was up to me, you'd most definitely receive all of my tuition

[@sirishabitra765]

tomorrow we have M1 exam ....... It's very useful for us

[@hypergamer211]

Well i don't have M1 tmrw but I do have my CIA 1 tmrw ,😢

[@sushifortoday9907]

You are really great, sir ☺️. Thanks a lot 🥹❤️

[@fashionheaven13]

Its supposed to be continuos on the closed interval and differentiable on the open one.

[@ebrimadem5287]

yeah exactly you are right my dear

[@0xVENx0]

Why u saying that?

[@maitreyeepatil6331]

But that is what mentioned in the video too.

[@whatsrememberedlives1526]

this man is lengend

[@wolframalpha8634]

I wanna clarify a thing @ 3:41 we can also say that multiple number of tangents can be drawn at point "c" hence there is no unique tangent at that point so can we say f(x) is not differentiable at c?

[@Stryker0810]

you can't have more than one tangent at a point on a curve

[@mdranahsc4909]

Outstanding to concept clear.

[@tlhomotsemoteme2423]

@ 2:02 Yeah we can C where it is... lol

[@sarangabbasi2560]

haha....so how are you doing after two years Tihomotse Moteme

[@PriggarGaming]

How are you doing 3 later?​@@sarangabbasi2560

[@Youchan-uu2ed]

why continuous on [a,b] ? why not continuous on (a,b)? and why differentiable on (a,b)? why not differentiable on [a,b]? please 🙏 explain

[@派睿幫幫忙]

u saved my life

[@biruktawitmesfin12]

OMG i have no words for u thank u so so much🙏🙏

[@vishwaraj8489]

Best video I ever sawww

[@isassasinbro]

My cousin put me on to you… THANK GOD

[@Anonymous_baka634]

why is ur name organic chenm when ur teaching maths? luv the video and all, just curious

[@chadnoobsalman]

Lots or love from Pakistan

[@asidmahmud0903]

Bro is Goated

[@oooo0O0oooo]

[@tharindudarshana8732]

thank you so much....

[@naomiolisa6193]

The question is, are we supposed to know how to automatically graph these functions to determine whether the function is continuous or not ?? If so how do I learn that ??

[@rocks7456]

I don't know if I understood your question right, but certain families of functions are *always* continuous for any point in their domain. Polynomial functions are always continuous, since they are defined in (-infty, +infty). Rational functions of the form p(x)/q(x) are continuous everywhere except for any x that gives q(x) = 0. Trigonometric functions are continuous everywhere in their domains. Furthermore, the sine and cosine functions are continuous everywhere. Exponential and logarithmic functions, afaik, are also continuous everywhere in their domains. What this entails is that you *don't* always have to graph functions to find out whether they are continuous. You can just recall the domain of the function in question to discuss its continuity.

[@morgengabe1]

Your notation for differentiability, at the start, seems quite brave. I'd like to borrow it but I don't think I understand it. How did you come by it? Is it a stand in for a sort of, non strictly, non abelian sequence? I've never seen an ordered pair used that way before.

[@siphenathimdludla502]

47 seconds in but I like it already

[@oro-oluwatoromo-thewordoft7339]

thank you so much God bless you!

[@ishannaik7855]

Very helpful

[@angieg884]

"You see that point is c"

[@abdulhfhd]

yas

[@joyrawat987]

S

[@ramanbapir2385]

please teach us budans theorem

[@naimurrahman8524]

Thanks king❣️

[@anabildebnath2590]

awesome video

[@sahilndwr]

15:29 was a jumpscare 💀, lovely video though

[@rascal6543]

15:28 i was very confused, i thought my computer was yelling at me

[@marioulrichb.a.5607]

0:39, ok, set up, but who is setting it up?

[@KhalimbetovUlugbek]

13:09 [0, 4] should not be differentiable

[@jamil5522]

It's not cuz 4 isn't differentiable. However the theorem states that the function should be differentiable on the open interval (0, 4) and it is.

[@wintersoldier8571]

is graphing the function the only way to tell whether it’s diff or cont ?

[@ProsperTulambe-lh8ju]

I also wonder

[@MaryLogsdail]

it would be negative 8/3, you forgot the negative sign when putting this equation: 8-3x equal to 0

[@jamil5522]

Would've been better if you derived the functions to find if they were differentiable instead of just showing the graph. Great vid anyways :)

[@eilycheng3912]

Sorry, i have a question about how to distinguish is the equation is differentiable or not😢

[@sangeetadevi778]

Thanks

[@NikolaTesla-cu8bp]

Why does it have to be open intervals for differentiability conditions and not the case of continuity.

[@shashankbajpai5659]

at 11:19 for the function x*sqrt(4-x), what if the interval is not [0,4] but [0,5]? How can we plot the graph for the complex part?

[@elaxter]

It wouldn't satisfy Rolle's Theorem since f(0) =/= f(5)

[@مرحباهلا-ب7ث]

Thank you alot.

[@monikaanand1398]

How the second curve not differential on (a b). Can you elaborate more sir🤔

[@lol-fs8gc]

And what if there is no interval is given And we have find interval also.

[@36arulraj13]

sry sir i have one why you are take +5 for f'(x) sir

[@meep7895]

why doesn't f(x) have to be differentiable on the closed interval and only on the open interval?

[@ahmedatif1113]

Did u get the ans?

[@hrk6085]

Which application you use for making this video Plz reply....thanks

[@justinsantos5751]

What if the equation is y=1?

[@detaqwer]

Rolles state that there would be at least 1 point c where slope is 0 since y=1 is a straight line, infinite number of points are there where slope is 0 hence rolles theorem hold true

[@Alyssa-rw9jt]

Soo....a fraction as an exponent will create a cusp?? Thus making it not differentiable?

[@anmollguptaa24]

Why f(a)=f(b) ??

[@kiranreddy3102]

bro how could u draw the graph by seeing the eqn !!!

[@oblivitus.]

15:28 I felt that...

[@aaronlee5404]

thx

[@GEOL-LALRINAWMI]

How did you directly know the graph???😢

[@tejas.873]

teach me sensei how do you draw a graph just by looking at the equation 😭

[@abdulrahmanrahimi7860]

How to know this function is continuous at [0,5] interval?

[@abdulmian4910]

Because F(x) is just a regular polynomial equation

[@darlinejohn3679]

Use intermidiate value theorem

[@ayeshanaeem2713]

can you apply this on any question

[@سميحسميح-ن4ق]

Why did you multiply by 2 ?

[@clearflow7925]

9:34 how do you know the graph looks like that? Also at 11:18. Can you just use a graphing calculator on tests?

[@barcorn6991]

it's good

[@YeshaniNethmi-q6o]

[@english_with_bee]

still using

[@0xVENx0]

Why is ur name the organic chemistry ?

[@kushb57]

because he teaches chemistry also

[@maxmendelsson404]

Yo when did marky mark get so good at chemistry

[@cs-oi4im]

how we will get to know which graph will be made for which function?

[@mohamedrazeen3685]

Just give any X (like... -1, 0, 1... ) value and calculate the Y value for X. Now you have Xand Y values which is written in form (X, Y) and plot this point in graph and do the same for other points by giving different values for X