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.....

[@roentjen]

watching this while doing my makeup before my exam. you’re the best :)

[@sabi_.0]

did you get a good degree ?

[@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

[@abstarkt]

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

[@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?

[@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.

[@olemahin]

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

[@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. 🗿✨

[@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...

[@renya2890]

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

[@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.

[@itsaleenalol]

5 years later and bro always come through🙏

[@eidolon9767]

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

[@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!

[@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.

[@micahgomez9419]

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

[@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

[@saniakakitchen4675]

Seriously your way of teaching is tooo good

[@amy_muk]

Thank you very much! Your explanations are so thorough!

[@tahmidislam6871]

This man, he’s like a gift from God

[@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.

[@obakengsolomon]

6 years later and bro is still carrying our degrees 🙏

[@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

[@sajalqasim3540]

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

[@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

[@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

[@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 💗

[@sophiaonyoutube]

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

[@chourouk-gr9qg]

Bro you always save my life

[@weronikaonisk8355]

Thank you from Poland!

[@anthonycarsela563]

Great video like always! Thank you for the help.

[@nurulsyahirahbintishahroln3369]

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

[@olivelove_2000]

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

[@RAJPUTGAMER-kv7ge]

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

[@rascal6543]

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

[@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

[@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)

[@madboycal7859]

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

[@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?

[@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.

[@mdranahsc4909]

Outstanding to concept clear.

[@biruktawitmesfin12]

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

[@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

[@sushifortoday9907]

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

[@marioulrichb.a.5607]

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

[@sahilndwr]

15:29 was a jumpscare 💀, lovely video though

[@whatsrememberedlives1526]

this man is lengend

[@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.

[@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.

[@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 ,😢

[@vishwaraj8489]

Best video I ever sawww

[@vikranthbandela779]

At 11:30 mins How those kind of graphs drwan just from the equation? Can anyone help me with it

[@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.

[@isassasinbro]

My cousin put me on to you… THANK GOD

[@siphenathimdludla502]

47 seconds in but I like it already

[@wintersoldier8571]

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

[@ProsperTulambe-lh8ju]

I also wonder

[@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.

[@派睿幫幫忙]

u saved my life

[@oro-oluwatoromo-thewordoft7339]

thank you so much God bless you!

[@eilycheng3912]

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

[@naimurrahman8524]

Thanks king❣️

[@tharindudarshana8732]

thank you so much....

[@asidmahmud0903]

Bro is Goated

[@monikaanand1398]

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

[@Alyssa-rw9jt]

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

[@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

[@anabildebnath2590]

awesome video

[@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?

[@GEOL-LALRINAWMI]

How did you directly know the graph???😢

[@NikolaTes23]

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

[@chourouk-gr9qg]

Because it doesn't matter the points before a and after b

[@kiranreddy3102]

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

[@hrk6085]

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

[@lol-fs8gc]

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

[@ishannaik7855]

Very helpful

[@walljumper2001]

15:29 lmfaoooo scared the hell out of me

[@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 :)

[@Bhumihar95]

Thank u sir 😊

[@ramanbapir2385]

please teach us budans theorem

[@angieg884]

"You see that point is c"

[@abdulhfhd]

yas

[@joyrawat987]

S

[@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

[@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

[@quoctrangnguyen5980]

How i can sketch all type of graph ?

[@36arulraj13]

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

[@ayeshanaeem2713]

can you apply this on any question

[@sadhanakhare2208]

At 11:33 how do we know the graph of that particular function

[@princeequalizer3715]

graph it nigga

[@سميحسميح-ن4ق]

Why did you multiply by 2 ?

[@sarthakjohri120]

how to make graphs from those equations????

[@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

[@oooo0O0oooo]

[@MaryLogsdail]

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

[@MarionKweyu]

Where does 2x_5 come from?

[@tejas.873]

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

[@0xVENx0]

Why is ur name the organic chemistry ?

[@kushb57]

because he teaches chemistry also