Mean Value Theorem

This calculus video tutorial provides a basic introduction into the mean value theorem. It contains plenty of examples and practice problems that show you how to find the value of c in the closed interval [a,b] that satisfies the mean value theorem. For the mean value theorem to be applied to a function, you need to make sure the function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).
Introduction to Limits:
• Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
_____________________________
Extreme Value Theorem:
• Extreme Value Theorem
Finding Critical Numbers:
• Finding Critical Numbers
Local Maximum & Minimum:
• Finding Local Maximum ...
Absolute Extrema:
• Finding Absolute Maxim...
Rolle's Theorem:
• Rolle's Theorem
________________________________
Mean Value Theorem:
• Mean Value Theorem
Increasing and Decreasing Functions:
• Increasing and Decreas...
First Derivative Test:
• First Derivative Test
Concavity & Inflection Points:
• Concavity, Inflection ...
Second Derivative Test:
• Second Derivative Test
_________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
_______________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/eqrPaJ2Goa-Lha8

[@IreneTrisha-ub2jz]

❤

[@matthewbrockman9969]

Way better than Knan Academy

[@nokomashabaofficial2472]

Matthew Brockman I'll support your channel if you subscribe to me all you have to do is reply to me btw khan acedamy is bad

[@user-fv1cf3de5l]

It’s Khan tho lol

[@mohaimna3141]

for real? he sounds different tho @@user-fv1cf3de5l

[@bruvlord1133]

@@user-fv1cf3de5l doubt

[@username15yearsago52]

Ikr. Khan academy's narrator's voice is so weird.

[@Kidpure]

I don't even go to my calc lectures anymore, this is so much more informative and I have the ability to pause and repeat, I am learning so much more thanks to you. Keep on keeping on, cheers.

[@hatbabai427]

Same here

[@Practicalinvestments]

Literally, I went to every single lecture and asked questions/went to office hours,, But the minute I stopped going to class and filled that time with these videos and the textbook my grades went way up lol, my teacher is crap, not to mention she gave us the wrong formulas for a bunch of things

[@jasonlshadow1750]

@@Practicalinvestmentsreally hate that so many others have similar situations with the classes. For me, I had to take online calculus, and my professor just responds to emails by adding a few words to a copy-paste reply. Never answers questions, nevers helps out anyone, and has us use a textbook that is way too complicated and lazy. By which I mean, the definitions explain things terribly and vaguely, and the examples are like 1 + 2 = 3. Meanwhile, the exercises and hw ask us extravagent and complicated problems, none of which are ever explained or solved to let us see or practice anything. So annoying haha

[@UziMusic]

@@jasonlshadow1750 I'm in same boat, our lecturer doesn't even respond to emails, and they've dropped literally the whole of differential calculus on us expecting us to prepare for an exam in 2 weeks.

[@chimzuruokeemmanuel3721]

Go for ur class ohh 😅 Attendance still dey 😂

[@dylanpatrick500]

I love the quality of this video!

[@nokomashabaofficial2472]

Dylan Patrick I'll support your channel if you subscribe to me all you have to do is reply to me

[@alambanda9259]

Learning from Zambia African ,and u

[@samesame5727]

lebron of youtube math

[@lildriy9153]

Who the f doesnt know this theorem... No cap

[@americantacos7618]

I mean that was a complete cap. Glad you got it bro, I'm here to learn it for the first time.

[@santhosh0106tg]

🔥🔥🔥

[@justforyou2543]

next level shit bruhhhhhhhhhhhhh

[@leviackerman-ri5rt]

this man is single handedly keeping me from dropping out of my engineering degree.

[@joshfrmatl]

Hope he does for me too because I got a 19 on my last test 😂

[@nathansoun3021]

I feel that , i have a C in my course and it’s super discouraging

[@cartoonrush5660]

@@joshfrmatl Are you still going with it?

[@joshfrmatl]

@@cartoonrush5660 Yessir passed Calculus one now im on two

[@gtd1783]

@@joshfrmatlupdate

[@angelahuynh5074]

Your videos are really helping out a LOT given I'm self-teaching myself Calc rn due to covid- 19... You're a godsend!

[@jennyzhang1254]

SAME Using the covid-19 time to self-training myself. Appericiates!!! ❤️

[@metawhirl4609]

Every one is doing same

[@Blink-ut7uh]

Baby ily

[@IlIlllIlll]

Nice, how old are you if your learning calc?

[@ilovefruitninjabro696]

@@IlIlllIlll5 months

[@inudog71]

hello, I usually don't comment on your videos, but I just want to say thank you for helping me get through the challenging parts of Highschool. Your videos have started making math fun for me again. I know you get comments like this all the time, but you deserve them, every single one of them. Not only have you already helped millions of students worldwide with math and chemistry, but you will also be helping millions more in the future. So, from the bottom of every single person you have helped already, and the millions more you will help in the future, thank you so very much.

[@ccramit]

Wish I would have found this at the beginning of the semester. Well, Calc 1 should be fun the second time around.

[@franke7930]

same dude, my final is this monday and my instructor was ass throughout the whole semester

[@americantacos7618]

@@franke7930 did you do okay?

[@franke7930]

@@americantacos7618 no, got a D and had to retake the class. got a B second time around

[@americantacos7618]

@@franke7930 damn, gj for getting it the second time though.

[@owlpharoah9634]

@@franke7930 happy for you bro

[@rubyrichiez1298]

Saving my ass, I had no idea this was going to be on my exam tomorrow, dude bless your soul!

[@ALOUY15]

bro, you saved my life!!!!! I missed 1 month of math class in college, but u teach me better than my instructor!!!! Thank you so much sir!!! I would be so happy to donate

[@michaelhawkins565]

I too am learning more from him , than from my professor!

[@nokomashabaofficial2472]

ALOUY15 I'll support your channel if you subscribe to me all you have to do is reply to me

[@hattorikanzo2793]

Let me tell you something. You only understand this vidro because on youtube, you come by yourself and you WANT to learn. But in your college classes, you are NOT willing to learn

[@bryan_350_5]

Hattori Kanzo nah i just be sleepy in class and can’t pay attention

[@tensor5113]

@@hattorikanzo2793 nah, professor is really bad at explaining and is unwilling to give simple examples

[@norastherin]

this advertisement that keeps telling me 'are you still searching for math help?' fffuuuuuu** ım not searching for math help IVE ALREADY FOUND IT GO A W A Y !!! PS: Love u the organic chemistry tutor, ur a lifesaver rly

[@ARTDEVGRU247]

Whaaaaattt??Still searching KZbin for Math help??Are the videos from 2006 really helping??hahaha

[@norastherin]

@@ARTDEVGRU247 exactly lol! ITS NOT FROM 2006 BRUH GO AWAY right? haha

[@ARTDEVGRU247]

@@norastherin exactly. 😄 🤣 😂 😆

[@ARTDEVGRU247]

@@norastherin and it's not like the information changed from 2006 to now. Like what? 😄 🤣 😂

[@julietebere-sx9xh]

You are not well 😂😂😂

[@gandalf7769]

you, sir, saved my engineering degree. I got a 21% on my semester test, failed the exam, and as a result of your astonishingly clear and simple explanations I feel confident for my supplementary exam tomorrow!

[@Paulo-sn2ri]

how did it go?

[@koksalvideo1314]

@@Paulo-sn2ri this time got 15%

[@swegmastur614]

@@koksalvideo1314 lmfaoo

[@aboodghabsha]

@@Paulo-sn2ri also curious

[@kabirarora7424]

bro's probably dead thats why he didnt reply for an year

[@username15yearsago52]

I am fu**ing in love with this guy. He is the reason I passed Calculus. 🙏

[@mryup6100]

Lol I love him too

[@munisailkhomova9266]

I love him also

[@kyleg4453]

God bless you! Thanks! Good luck to everyone on the quiz you came here to study for. "Jesus said to her, "I am the resurrection and the life. The one who believes in me will live, even though they die;-John 11:256

[@ifeogundele671]

Amen!!!!

[@owlpharoah9634]

thanks brother

[@LeonEllisZ]

Thank you! I was getting so frustrated with my substitute professor because she just fumbles her words and just reads definitions without relating it to what we have already learned. You do such an amazing job tying in previous knowledge and I appreciate it

[@alexmorgan1124]

This video just saved my grade. It has taught me more in 20 mins than my teacher has all week long!

[@sidec7673]

Hahahaha

[@Leon_1780]

Same

[@freebird889]

Your videos are amazing and extremely helpful! Taking Cal 1 in 5.5 weeks and then cal 2 in 5.5 weeks. Having a hard time following along in class because its so fast and so much info plus dyslexia....I'm glad I could slow it down with you!

[@ianowens1905]

Jesus all of calc one in just over a month 😭 im taking calc one over four months and then we study for the exam for another four

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a solid explanation of the Mean Value Theorem in Calculus One. This is another important theorem in Calculus. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@dredreidel]

imagine an alternate universe without this guy's teaching. Idk where I would be....

[@catherinec.5697]

your voice is hella cute

[@shinngaming7899]

😂

[@elonbelwalkar63]

Jee aspirants?

[@amilton.agostinho]

I'm preparing my syllabus lessons for my Chemical Engineering course weeks before, and i'm certainly that i'm gonna be so productive thanks to you. I'll owe you a Diploma haha.🤗❤

[@cristhiangarcia5991]

I hope you are earning a ton of money with these videos because you deserve it.

[@ansaar1713]

i didnt watch this video yet but i need to say thank you for helping me with everything. please dont ever stop doing this.

[@azaa2188]

2:00 - 2:23 4:44 MVT helps us to find a value (c) in between points (a) and (b), where the gradient(m) of tangent line == the m of the secant line (line touching a & b)

[@matthewanderson1916]

youre a ridiculously good youtuber and teacher man, thank you a million. mad respect

[@EdmundIsTheBrand]

Jillian Asked Daniel, "Guess the ages of the 6 people in my family." She gave him this clue: "The mean of our ages is 24 years old." Give at least 3 possible solutions that Daniel could give and explain your age choices.

[@marcushendriksen8415]

This is too broad a question. Age is continuous; how are we supposed to solve this without any more information? All you have to do is break 144 into six pieces, which means you've given us a solution already (24). Unless she is not counting herself amongst the six but does include her age in the calculation of the mean (which is kinda convoluted, so I doubt it)

[@foggyturtle]

I have a final exam today, and I have been using your vids to understand things that I am not good at thank you for such easy to understand explanations

[@joshfrmatl]

I didn't go to class today and im pretty sure you explained it as good as my professor but without her childish commands

[@robertherd4579]

Thnx a lot bro! Ur lessons are of huge help. Very good and clearly explained. Kudos mate!❤️

[@hitarthvyas7860]

Any way to know if a function isn't differentiable without plotting a graph?

[@tommyvercetti4282]

I think you would have to have a function and then find domain restrictions such as a 0 in the denominator or if there is negative number in the square root

[@jhaluckgiri]

How to know whether it is differentiable at certain close or open interval?

[@s1mple121]

same question here

[@gracelebron3536]

Well he mentioned that if a graph has a sharp turn then it's not differentiable at that point.

[@gracelebron3536]

@@s1mple121 ^

[@dubemeze5556]

I don't understand how he got the graphs. Is there a video that I could watch the explains it all?

[@ricamiallahverdiyev3070]

Definetly 80 minutes of class in 20 minutes also more explained and more understandable thank you very much

[@kenokai.]

I have a final tmr and I am reviewing everything but I honestly just gave up on the book and my worksheet papers because its just stuff I don't understand. But, its so easy to understand here. Thank you for the explanations. They really give me the insight I need for all the gears to click into place and I finally understand it.

[@6arood]

Also, I have a final but my teacher is very speedy in explaining 😶

[@Trynnagetmydegree__]

I SWEARRR YOU'RE SUCCHHH A LIFE SAVVVERRR!!!!!! THANK YOU SOOO MUCH MANN!!! YOU'RE THE BEST

[@catiemissey2099]

who else here the day before the 2020 calc exam

[@zabrinnamariel]

THANK YOU SO MUCH , I SEE THE LIGHT NOW :)

[@JD-cy2qh]

khan explain all from the basic, and this channel show us how to apply it, so i watch both, very vocking good

[@nickdivine8788]

This just made me skip nearly 22 pages of my textbook

[@davidbrisbane7206]

Or the same page twenty-two times 😂.

[@rickyeriksson9091]

Excellent, and more well put than in Adams' calculus. Thanks!

[@jadziadax1993]

This might be a dumb question but on the last the last example, wouldn't f(x) be discontinuous at ×=4 b/c the limit as x-> 4 DNE?

[@Anonymous-rn2vk]

At the endpoints of [a, b], *one-sided* continuity is sufficient to say f(x) is continuous over the entire interval (assuming it's continuous everywhere else too). Regarding your question, since the interval is [4, 8], we only require continuity from the right hand side of 4. And hence we can use MVT in this case :)

[@diogodionisio5175]

Aprendi em 20 minutos em uma língua que não falo mais do que meu professor em meu idioma. Obrigado

[@phupwintkhine9572]

Hello! Your video is really helpful but I still don't understand how to read graphs!!! Can you recommend which topic I should watch? As well as the same goes for algebra graphs or geometry graphs!!!!

[@James15412]

a thousand times thank you is not enough

[@samkelo_gumede]

You are the best person in the world...i have gained so much through your videos since high school I've been using your videos and they scored me good high grades

[@s7vxn]

Is there a way to determine if a function is continuous and/or differentiable w/o having to draw out a sketch graph?

[@davidbrisbane7206]

If we change the interval to [2, 3] for f(x) = |4x - 5|, then we can apply the MVT and we find f'(x) = 4 = [f(3) - f(2)]/[3 - 2] So, 4 = [|7| - |3|]/[3 - 2] = 4. This is true. But what value of c satisfies this condition? All c in (0, 4) according to the MVT and as it so happens in this case for c = 2 and c = 3 as well.

[@davidbrisbane7206]

Try f(x) = tanx on the interval [-Pi/2, Pi/2] to deduce that |b - a| ≥ |tan(b) - tan(a)| where a & b belong to (-Pi/2, Pi/2)

[@DarvinJ]

Exam tomorrow, Thank you so much!

[@grandpazhongli3657]

i wonder where all these people are now

[@sahandanushka7371]

Can there be two mean values in a given interval?

[@Aleraptor]

You deserve a medal for your education efforts, thank you.

[@kojinakazawa3009]

your video on the rolle's theorem and this video has helped me greatly for my calc final. I wish i found u sooner!

[@kelly1572]

Thank you so much I have a calculus test tomorrow

[@azaa2188]

14:28 Determining whether function is continous on closed interval, open interval, and then determining whether MVT can be used

[@fahralyacoub8970]

One thing im not able to understand is why do we use the open interval to describe the differentiability. How would it hurt if we included a,b?

[@abdullahijelle754]

thank alot for the vedeo you are probably one of the best teachers in the world can you please explain more or make atleast one vedeo on the ways of knowing how the graph wil look like by just looking at the eqns given thanks in advance

[@BrixFPS]

hey question for all you math majors or those of you that need to take math as a requirement for your major, i really want to be a meterologist however i'm bad at math do any of you still think its possible for me to pass and succeed if im dedicated enough

[@justin2917]

Is this man a lecturer? Or a student...y'all I'm so curious cozzzz 🤯

[@ivornworrell]

good, but any real world applications, or it is just brain exercise??

[@francesbelleza4726]

thank you for always helping me with my calculus homework! 😆

[@JafarAl-Habib]

أشهد انك ملك

[@dinithisahanika7823]

Amazing ❤ this is how i save my time rather than going through lecture notes

[@SheK-zy2tw]

I don’t understood what is the difference between the closed and open intervals

[@goldenfaze2598]

thank you, missed this lesson from my class and you taught it well

[@lazor6526]

Start from 5:10 if you are here for problem solving with explanation

[@Isaac_blingz]

U are sooooooo helpfull...God bless u abundantly

[@nokomashabaofficial2472]

Oluwajuyigbe Ayomide I'll support your channel if you subscribe to me all you have to do is reply to me

[@ericabaez3033]

Does anyone know what app he uses to record his screen? I need it for a Calculus assignment, please help😭🙏

[@benyt3039]

Use something like OBS to record the screen and Microsoft Whiteboard to draw the notes

[@ClarissaValerie-h9r]

Lewis Elizabeth Wilson Maria Taylor Michelle

[@EasyGTheTechGuy]

The ad I just saw suggests that it's better than this amazing channel 😂.

[@joseorozco7983]

Midterm in 1 hour lol. Feeling good , just getting refreshed

[@Orbitaakter]

Lee Carol Williams Patricia Rodriguez Sarah

[@abed_qader]

thanks man, you are amazing

[@beri4138]

I was taught the root of x is not differentiable at x=0. wtf?

[@camerashysd7165]

my favourite part at the end is when he leaves the video running with the white noise

[@mehadihasansanto538]

Absolutely Fabulous and quite impressive video!! U've just clear the concept so well. Tnx a lot sir!😍😍

[@nicholasvillaquirancosh8071]

And the best math teacher award goes to: Nah but seriously dude, your videos make everything infinitely simpler. And english isn't even my first language!

[@norcyte3003]

i wish I could kiss you even though I am a man and not gay.

[@sandisland9270]

I love your videos so much. They teach me very effectively. Thank you

[@bibekchakraborty3045]

11:56 can anyone tell me how is he taking that no. 3...😢

[@tharindudarshana8732]

thank you sir....great explain.....

[@OluwatofunmiOlatunji]

God bless you bro

[@tntcastle7431]

Your videos are a lifesaver. Thank you

[@emmanuelakata1401]

Emmanuel Akata from Nigeria. U're teaching techniques are owe some and well explained . Thank u

[@shaneefraemhseraspe1308]

How to know if its continuous and differentiable?

[@Erowens98]

My professor should just shut up and play your videos in class for 2 hours. We'd all learn way faster.

[@hamzasebbiali3532]

we pay tuition in college only to study on youtube

[@emmahan9160]

Thank you for teaching me a concept that both my prof and my TA failed to make me understand, idk why they r even teaching

[@konstantinospolemis3087]

Thank you for your contribution in this plataform.

[@hamidehb9576]

I cldnt understand the differential part...

[@nifahelias9457]

Am really grateful this tutorial has helped me alot my instructor is the worst maths teacher .... He acts like it's so difficult to learn

[@tempmail5655]

how you can able to draw the graph of the algebraic problem so fast?, is there any video(which tells how to do it) tell me please!

[@derricknjeru3192]

include how to find whether a function is continous by calculation and not by graphing

[@NickVetter]

He explained it. When he was talking about dividing by 0 or square root and stuff like that

[@shammasgaming154]

Thnks a lot sir u r great

[@nokomashabaofficial2472]

Waleed Sayam I'll support your channel if you subscribe to me all you have to do is reply to me