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Rolle's Theorem Explained and Mean Value Theorem For Derivatives - Examples - Calculus

This calculus video tutorial explains the concept behind Rolle's Theorem and the Mean Value Theorem For Derivatives. This video contains plenty of examples and practice problems.
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

Пікірлер: 237

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor7 ай бұрын

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    @yosefshtaygrud26433 жыл бұрын

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  • @ayanaxhye
    @ayanaxhye Жыл бұрын

    Rolles Theorem: - see if f(x) is continuous (no holes, asymptotes..etc [denom can’t be 0]) in the closed interval. - see if f(x) is différentiable. (derivative is continuous) in the open interval. - check that f(a) = f(b) then there is a point where the derivative is 0 (has a horizontal tangent) - take the derivative and write f’(c) solve for c, check if it’s in the interval. Mean value theorem: - must be continuous in [a,b] - must be différentiable at (a,b) - then f’(c) = f(b)-f(a) = b-a (slope of tangent line = slope of secant line)

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    2 ай бұрын

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    @kylet72942 жыл бұрын

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    Жыл бұрын

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  • @philipibrahim9711
    @philipibrahim97117 жыл бұрын

    This is the best tutorial on rolle's and mean value theorem i have ever seen...Nice one

  • @TheOrganicChemistryTutor

    @TheOrganicChemistryTutor

    7 жыл бұрын

    Thanks

  • @millions2nette

    @millions2nette

    7 жыл бұрын

    IKR! My professor has no idea how to explain this stuff. He also didn't show any appropriate example problems...He just throws it on a test.

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    6 жыл бұрын

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  • @sharmainelc
    @sharmainelc6 жыл бұрын

    22:33 MEAN VALUE THEOREM

  • @jameswright5880

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    5 жыл бұрын

    Thx

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    5 жыл бұрын

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    @mahimmarufuzzaman3588

    3 жыл бұрын

    You didn't have to scream "mean value theorem" at me like that...

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    @ebenezerchinonsookoye8136 Жыл бұрын

    wow This is amazing. I'm having an exam on this tomorrow and I clearly understand it now. Thank you so much.

  • @ArchiTetched
    @ArchiTetched5 ай бұрын

    I may be watching this 7 years later while taking calc 1 for the first time, but you are well appreciated for making these videos. I could not be understanding it this well without your explanations.

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    5 жыл бұрын

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    5 жыл бұрын

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    3 жыл бұрын

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    2 жыл бұрын

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  • @AriaHarmony
    @AriaHarmony4 жыл бұрын

    20:14 thank you very much i needed an edge case like this one, I almost forgot about the open/closed interval thing having never encountered something this

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    @breannalopez59186 жыл бұрын

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  • @petere.anakwe2495
    @petere.anakwe24955 жыл бұрын

    this is the best explanation for Rolle's theorem and mean value. God bless

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    @unzamathematicstutormwanaumo5 жыл бұрын

    You are talented,you deserve a gold medal.God bless you

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    @Justseeingvideos3333 жыл бұрын

    My Math teacher somehow manages to make this stuff seem more complex then the secret of the universe. This is so simple with you explaining!

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    @mrmm19888 ай бұрын

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    3 жыл бұрын

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    @formulaservers28955 жыл бұрын

    anyone in high school studying this?

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    5 жыл бұрын

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    5 жыл бұрын

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    5 жыл бұрын

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    @mba1523 жыл бұрын

    You’re the best you deserve more than be teacher , all the best .

  • @vinayjangra1401
    @vinayjangra14012 жыл бұрын

    Thanks 😊😊

  • @akash14890
    @akash148902 жыл бұрын

    best video I ever see about rolles theorem save my many time thanks a lot sir give more like this it is just gems of mathematics for me.

  • @yooshien8111
    @yooshien81113 жыл бұрын

    Believe me Or not even my grandma enjoys your lecture man and thanks a lot man!!!

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    @Shamuure.officially9794 жыл бұрын

    Thank you so much you helped me

  • @splash8429
    @splash84293 жыл бұрын

    man I wanna cry now. My prof explains them like they r the most complicated thinge evr. I have already did horrible on my 1st two tests. The only hope is I got 1 more test left and then there's a final

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    @heshamkhan22284 жыл бұрын

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    @mathgmathg9236 жыл бұрын

    He is awesome!!!! Explains really well!!! Great job!!!

  • @9thwonder584
    @9thwonder5843 жыл бұрын

    Thanks bro

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    @sheeppuffs37694 жыл бұрын

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    @exotickhanaarif4333 Жыл бұрын

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    @sherarmurray22716 жыл бұрын

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    @milliekim50724 жыл бұрын

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    @user-bm5wy1jt8g5 жыл бұрын

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    5 жыл бұрын

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    5 жыл бұрын

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    5 жыл бұрын

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    4 жыл бұрын

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    @AbdulRehman-yl1ux3 жыл бұрын

    great

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    @paolosalazar99195 жыл бұрын

    Thank you so much

  • @davidcruz1469
    @davidcruz14692 жыл бұрын

    THANKS TO YOU I FEEL CONFIDENT GOING BALLS TO THE WALL ON MY TEST TOMORROW

  • @shyaamsundar2262
    @shyaamsundar22622 жыл бұрын

    Ur awesome man !! No words to tell very very well explained the concept with examples !! Very very awesome !! No words to tell

  • @dinamagdy7288
    @dinamagdy72886 жыл бұрын

    Great source to understand tutorial on rolle's

  • @karolinakuna4918
    @karolinakuna49185 жыл бұрын

    This video is amazing. Everything sounds so simple now!

  • @terrencemadanhi8833
    @terrencemadanhi88335 жыл бұрын

    thank you Mr.well explained

  • @mathguy4264
    @mathguy42647 жыл бұрын

    Perfect !!! Thank you.

  • @emmanuelaroyewun663
    @emmanuelaroyewun663 Жыл бұрын

    Thank you for this video sir but can you please make a video for us on Cauchy's theorem.

  • @lotus_flower2001
    @lotus_flower20012 ай бұрын

    dear god..my attention span is on its last leg. Why can't I just sit still and watch the video..

  • @derricknjeru3192
    @derricknjeru31925 жыл бұрын

    good one

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    @hemals7104 жыл бұрын

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    @syedmusaibhussain98644 жыл бұрын

    Good one

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    @mushrannn16122 жыл бұрын

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    @Ui.Daniel.Park.4 жыл бұрын

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    @martinmzyece54992 ай бұрын

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  • @munnamuvva3001
    @munnamuvva3001 Жыл бұрын

    ♥️♥️♥️♥️ ur explanation

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    @user-ww8rd6oj5u3 ай бұрын

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    @unzamathematicstutormwanaumo5 жыл бұрын

    You are talented

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    @martinmzyece54992 ай бұрын

    Organic tutor wakuleka fye

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    @diamondninja49385 жыл бұрын

    What I really want to know is the KZread ALGORITHM that recommends this video to me!

  • @chrisaira2084
    @chrisaira20845 жыл бұрын

    Thanks Bro. Your video is really helpful.

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    @muhammadidrees44513 жыл бұрын

    Extremes techniques....great job

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    @phantominside64973 жыл бұрын

    CEO OF TEACHING

  • @meskieLoves
    @meskieLoves5 жыл бұрын

    I like the way he says 'tangent line'

  • @AK-zo7cq
    @AK-zo7cq2 жыл бұрын

    am here studying for my midterms IAU !!!

  • @marshalldennis6483
    @marshalldennis64834 жыл бұрын

    There is another way to solve a Mean Value Theorem for Derivatives. You can find what f(b) and f(a) equal by plugging them into f(x) via the x value. As you find f(a) and f(b), you then plug them into the equation f(b)-f(a)/b-a. Make sure that b and a are the intervals while f(b) and f(a) are what you found when you plugged b and a into f(x). As you find the value of f(b)-f(a)/b-a, set that value equal to the derivative of f(x), aka f'(x), then solve. What you should get is a simple value such as x=? which you would rewrite it C=? Note: ? is just a value you would get. However, it can vary in certain cases.

  • @dessa8242
    @dessa82424 жыл бұрын

    get rid off the commercial "what still search the video from ........" from this wonderful tutorial video.

  • @Nexus4739
    @Nexus47396 жыл бұрын

    God bless you , you are definitely way better than my teachers # goat ❤️

  • @CaseyMarkov
    @CaseyMarkov2 жыл бұрын

    so for the last problem, you had the square root which resulted in a pos and a neg number but the pos one was the right one because it was between -1 and 3. my question is what if both had been between -1 and 3. would they both be C or would you have to choose one?

  • @ahmedrizwan3465
    @ahmedrizwan34659 ай бұрын

    im confused about 22:17. Underoot of (x-4) should mean that x cannot be equal to 3. Then y is it continous from 0 to 4

  • @IsaacDuran-hm2uy

    @IsaacDuran-hm2uy

    6 ай бұрын

    you are correct he made a mistake

  • @jeannewynneherring
    @jeannewynneherring4 жыл бұрын

    Oh Dwight!! hehehehe!! Luv and miss you!!!

  • @ishmamgaming5166
    @ishmamgaming5166 Жыл бұрын

    What if c is a complex number in mean value theorem

  • @slimanemesbah8500
    @slimanemesbah85003 жыл бұрын

    god bless you JG

  • @joeomar798
    @joeomar7985 жыл бұрын

    Thank you

  • @zeinaaiman8567
    @zeinaaiman8567 Жыл бұрын

    Thank youuu

  • @emilyallen4777
    @emilyallen47772 жыл бұрын

    I love you sir

  • @ArunKumar-gu7zi
    @ArunKumar-gu7zi7 жыл бұрын

    thanks for such a nice video

  • @doraatieno5145
    @doraatieno51455 жыл бұрын

    This helps a lot

  • @naseeradel3182
    @naseeradel31825 жыл бұрын

    Thank you for the help.

  • @lindamasia8155
    @lindamasia81553 жыл бұрын

    That laptop fan 😅

  • @johnf.kennedy
    @johnf.kennedy Жыл бұрын

    KING

  • @kaylenemoye
    @kaylenemoye2 жыл бұрын

    im confused on the first MVT problem. where did the 4-0 go? is it not x=-3 ?

  • @CaseyMarkov

    @CaseyMarkov

    2 жыл бұрын

    what was the time stamp for the problem?

  • @MysteriousMM4

    @MysteriousMM4

    Жыл бұрын

    He multiplied both sides by 4 to cancel the denominator.

  • @Potato-so6zr

    @Potato-so6zr

    8 ай бұрын

    @@MysteriousMM4because 4 - 0 is just 4

  • @itskim9790
    @itskim9790 Жыл бұрын

    MVT 22:38 Rolle's Thm. Q: 13:34

  • @itskim9790

    @itskim9790

    Жыл бұрын

    " 20:14 thank you very much i needed an edge case like this one, I almost forgot about the open/closed interval thing having never encountered something this"

  • @itskim9790

    @itskim9790

    Жыл бұрын

    24:44

  • @suspicious_coconut_water
    @suspicious_coconut_water Жыл бұрын

    The derivative of his aging process must = 0

  • @edj2344
    @edj23445 жыл бұрын

    Explains better than my teacher

  • @IncelCherub
    @IncelCherub Жыл бұрын

    i just wanna rolle rolle rolle wit a dab of ranch