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

แชร์
ฝัง
  • เผยแพร่เมื่อ 12 พ.ย. 2024

ความคิดเห็น • 243

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 หลายเดือนก่อน +4

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

  • @yosefshtaygrud2643
    @yosefshtaygrud2643 4 ปีที่แล้ว +226

    Hey, I just wanna let you know that I am doing well in calculus because and only because of you. You really saved my ass here man. Best videos I've seen, they really make this difficult abstract class of theoretical math tangible and manageable. You deserve a medal of honor because your videos in calculus Orgo and physics have been instrumental to my success as a student. Thank you from the bottom of my heart you truly are a lifesaver. Your clarity in these subjects is unparalleled we need more educators like you in this world.

  • @kylet7294
    @kylet7294 2 ปีที่แล้ว +97

    This channel will be your legacy. Long after you are gone, struggling calculus students will still be watching this video, praising the heavens and giving infinite gratitude that you once walked the same earth.
    You my good sir, are a man among men.

    • @yzoononononn
      @yzoononononn 2 ปีที่แล้ว

      uh ywa uhshas yaas he keeps slaying

  • @howtogaintime739
    @howtogaintime739 6 ปีที่แล้ว +102

    Man, how slow and methodical your pacing is jives real well with my self-worth based anxiety. When ever I try to concentrate on a lecture on any subject I deem interesting my heart goes wild because I'm not used to indulging myself at any level. Thank God for you man, I really needed this.

  • @ayanaxhye
    @ayanaxhye 2 ปีที่แล้ว +95

    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)

  • @philipibrahim9711
    @philipibrahim9711 7 ปีที่แล้ว +155

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

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  7 ปีที่แล้ว +52

      Thanks

    • @millions2nette
      @millions2nette 7 ปีที่แล้ว +8

      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.

    • @ronjeremy1232
      @ronjeremy1232 7 ปีที่แล้ว +14

      Jay Richest beat his ass

    • @mrkassimabdalla9454
      @mrkassimabdalla9454 4 ปีที่แล้ว +7

      @@TheOrganicChemistryTutor thank you teacher of all time

  • @harunaoseni555
    @harunaoseni555 4 ปีที่แล้ว +331

    it's funny how he makes attending classes seem like a waste of time.

  • @kaitlynreeves3369
    @kaitlynreeves3369 5 ปีที่แล้ว +92

    You are saving my AP Calculus grade!

  • @ArchiTetched
    @ArchiTetched 8 หลายเดือนก่อน +1

    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.

  • @pasqualemleonejr.2287
    @pasqualemleonejr.2287 2 ปีที่แล้ว +2

    I’m truly blessed. I have an amazing Calculus Professor who teaches very well - plus my guy here for extra studies.

  • @ebenezerchinonsookoye8136
    @ebenezerchinonsookoye8136 ปีที่แล้ว +8

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

  • @sharon_isking
    @sharon_isking 2 ปีที่แล้ว +1

    I'm writing a test today at 2hours time ,I only had to watch 3 of your videos (which they don't even take more than 30 minutes each) and you covered my whole scope.my friends went to cross night ,they came back at 3am they still have covered everything and they are frustrated, luckily I have you ,I don't get to have headaches when it comes to SMTH and SPHS ,LOVE YOU LOADS.❤️

  • @sharmainelc
    @sharmainelc 6 ปีที่แล้ว +184

    22:33 MEAN VALUE THEOREM

  • @abdoulazizdabo9064
    @abdoulazizdabo9064 3 ปีที่แล้ว +1

    In turn to your video in Chamistry /biology /math/ biochemistry / and physics. I see many people comments + in your video and other go beyond, for me I just want to say thank you. You such a humble teacher

  • @leilacx1088
    @leilacx1088 6 ปีที่แล้ว +9

    My actual king im going to start watchign u for everything in my BC calc class now ILYYYYYYYYYYYY

  • @AriaHarmony
    @AriaHarmony 4 ปีที่แล้ว +8

    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

  • @munawwarahkhalid4356
    @munawwarahkhalid4356 6 ปีที่แล้ว +2

    you sir need a medal. Thank you so much for all your works in saving our cgpa!

  • @unzamathematicstutormwanaumo
    @unzamathematicstutormwanaumo 5 ปีที่แล้ว +1

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

  • @cthaemoyo
    @cthaemoyo 7 หลายเดือนก่อน +1

    We need you @Midlands State University in Zimbabwe cause you so understable as compared to all my calculus lecturers😢🙌🏾💀

  • @raymondvaldepenas6245
    @raymondvaldepenas6245 3 ปีที่แล้ว +3

    Thank you very much, I watched your video just a few hours before our long exam, and I got a perfect score.😊

  • @Justseeingvideos333
    @Justseeingvideos333 4 ปีที่แล้ว +3

    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!

  • @aasemmohammed7338
    @aasemmohammed7338 4 ปีที่แล้ว +4

    When I have something I didn't understand in my collegue, searched about it and found you that's like ..... thank god it's done

  • @petere.anakwe2495
    @petere.anakwe2495 5 ปีที่แล้ว +2

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

  • @mrmm1988
    @mrmm1988 11 หลายเดือนก่อน

    forever grateful for this channel!!!

  • @alm2922
    @alm2922 6 ปีที่แล้ว +95

    the only reason im going to UW is because this man saved my gpa

    • @supreetsingh987
      @supreetsingh987 6 ปีที่แล้ว +5

      University of Washington?

    • @arthurmorgan3111
      @arthurmorgan3111 5 ปีที่แล้ว +1

      Supreet Singh yeee

    • @thiha8372
      @thiha8372 3 ปีที่แล้ว +2

      You did this in highschool?

    • @shadowking255
      @shadowking255 3 ปีที่แล้ว +1

      Yes

    • @43mmory
      @43mmory 6 หลายเดือนก่อน

      @@thiha8372 imagine not 💀💀💀💀

  • @breannalopez5918
    @breannalopez5918 6 ปีที่แล้ว +8

    Thank you so much!!!! This helps a lot!! I didn’t understand this section at first, but you described it perfectly!!

  • @ilovuallah8238
    @ilovuallah8238 2 ปีที่แล้ว +1

    You are an absolute star

  • @itsisha9762
    @itsisha9762 5 ปีที่แล้ว +5

    The best teacher anyone could ever hope getting. I love you and your videos sm

  • @nigarjalilzade1844
    @nigarjalilzade1844 5 ปีที่แล้ว +1

    Best Chanel for to learn Calculus and pass AP Exam.Apprved by Exchange Student

    • @sherlockholmes2323
      @sherlockholmes2323 2 ปีที่แล้ว

      It is so nice to see Azerbaijanian girl as me.

  • @ivyannsayaya3991
    @ivyannsayaya3991 2 ปีที่แล้ว +1

    You deserve an award

  • @mohubeduabram3896
    @mohubeduabram3896 6 ปีที่แล้ว +432

    IF I WAS GOD,I WOULD GIVE YOU AN ADDITION OF MORE MANY YEARS TO LIVE!

    • @sarastar5348
      @sarastar5348 6 ปีที่แล้ว +5

      😃

    • @cheezywizard5292
      @cheezywizard5292 5 ปีที่แล้ว +26

      If you were God (which you aren’t) you would know the answer without need of this video, since He invented everything, so why would you bother?

    • @Scott-iz6oj
      @Scott-iz6oj 5 ปีที่แล้ว +5

      @@cheezywizard5292 if you were god you would die

    • @jameswright5880
      @jameswright5880 5 ปีที่แล้ว +61

      @@cheezywizard5292 Because he is not a selfish person and wants other to succeed too...

    • @kelly1572
      @kelly1572 5 ปีที่แล้ว +6

      @@jameswright5880 👏🏽👏🏽👍🏽

  • @dalkeiththomas9352
    @dalkeiththomas9352 5 ปีที่แล้ว +3

    Honestly, you deserve my tuition

  • @mba152
    @mba152 4 ปีที่แล้ว

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

  • @shammya9446
    @shammya9446 6 ปีที่แล้ว +3

    You are a great teacher.i ve learnt a lot from your videos specially physics

  • @akash14890
    @akash14890 3 ปีที่แล้ว

    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.

  • @mutazayesh7483
    @mutazayesh7483 6 ปีที่แล้ว +7

    you saved my life.

  • @yooshien8111
    @yooshien8111 4 ปีที่แล้ว +1

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

  • @kipioselijah4863
    @kipioselijah4863 ปีที่แล้ว +1

    Your videos are clear thank u

  • @mary-ye4tb
    @mary-ye4tb 6 ปีที่แล้ว +2

    Honestly, you king. You popped off! Thank you!

  • @9thwonder584
    @9thwonder584 4 ปีที่แล้ว

    Best channel ever!!

  • @splash8429
    @splash8429 3 ปีที่แล้ว

    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

  • @sandilenkosi5745
    @sandilenkosi5745 5 หลายเดือนก่อน

    What a gem

  • @Shamuure.officially979
    @Shamuure.officially979 4 ปีที่แล้ว +1

    Thank you so much you helped me

  • @heshamkhan2228
    @heshamkhan2228 5 ปีที่แล้ว

    Dude this guy is a foockiin legend

  • @exotickhanaarif4333
    @exotickhanaarif4333 ปีที่แล้ว

    Wow he mad this concept look soo easy!!

  • @formulaservers2895
    @formulaservers2895 6 ปีที่แล้ว +44

    anyone in high school studying this?

  • @shyaamsundar2262
    @shyaamsundar2262 2 ปีที่แล้ว

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

  • @mathgmathg923
    @mathgmathg923 7 ปีที่แล้ว +2

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

  • @dinamagdy7288
    @dinamagdy7288 7 ปีที่แล้ว +2

    Great source to understand tutorial on rolle's

  • @karolinakuna4918
    @karolinakuna4918 5 ปีที่แล้ว

    This video is amazing. Everything sounds so simple now!

  • @vinayjangra1401
    @vinayjangra1401 2 ปีที่แล้ว +1

    Thanks 😊😊

  • @sheeppuffs3769
    @sheeppuffs3769 4 ปีที่แล้ว +1

    i love you!!!! thank you sir for this

  • @dessa8242
    @dessa8242 5 ปีที่แล้ว

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

  • @milliekim5072
    @milliekim5072 4 ปีที่แล้ว

    Thank you so~~~~ much, sir!
    You make everything so easy to understand.
    God bless you!

  • @terrencemadanhi8833
    @terrencemadanhi8833 6 ปีที่แล้ว +1

    thank you Mr.well explained

  • @muhammadidrees4451
    @muhammadidrees4451 3 ปีที่แล้ว

    Extremes techniques....great job

  • @davidcruz1469
    @davidcruz1469 3 ปีที่แล้ว

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

  • @unzamathematicstutormwanaumo
    @unzamathematicstutormwanaumo 5 ปีที่แล้ว

    You are talented

  • @KhalidAlkhudhairi
    @KhalidAlkhudhairi 6 ปีที่แล้ว +17

    May Allah bless you.

    • @guidancemtisi5065
      @guidancemtisi5065 5 ปีที่แล้ว +6

      What is Allah?
      There is only one way to go to heaven and that’s through Jesus Christ

    • @taylorlangley900
      @taylorlangley900 5 ปีที่แล้ว

      praise balphomet

    • @guidancemtisi5065
      @guidancemtisi5065 5 ปีที่แล้ว +2

      Taylor Langley the son of God Jesus died for you because of his great love so that you may have the gift of eternal life
      Accept Jesus as your savior and Lord so that you won’t miss the gift

    • @meinenapkinen9167
      @meinenapkinen9167 4 ปีที่แล้ว +1

      @@harveyspecter4430 Damn we can find jesus freaks in here too

  • @9thwonder584
    @9thwonder584 4 ปีที่แล้ว +1

    Thanks bro

  • @emmanuelaroyewun663
    @emmanuelaroyewun663 ปีที่แล้ว

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

  • @munnamuvva3001
    @munnamuvva3001 ปีที่แล้ว

    ♥️♥️♥️♥️ ur explanation

  • @Nexus4739
    @Nexus4739 6 ปีที่แล้ว

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

  • @mushrannn1612
    @mushrannn1612 2 ปีที่แล้ว

    Thank you so much, this is a life saver

  • @Ui.Daniel.Park.
    @Ui.Daniel.Park. 5 ปีที่แล้ว

    Your the reason I still go to atılım üniversitesi

  • @phantominside6497
    @phantominside6497 3 ปีที่แล้ว

    CEO OF TEACHING

  • @AK-zo7cq
    @AK-zo7cq 3 ปีที่แล้ว

    am here studying for my midterms IAU !!!

  • @hemals710
    @hemals710 4 ปีที่แล้ว

    I love you BROTHER♥️♥️

  • @syedmusaibhussain9864
    @syedmusaibhussain9864 4 ปีที่แล้ว

    Good one

  • @derricknjeru3192
    @derricknjeru3192 5 ปีที่แล้ว +1

    good one

  • @SivaSiva-k5t
    @SivaSiva-k5t 6 หลายเดือนก่อน

    ALL IS WELL
    🎉🎉🎉

  • @martinmzyece5499
    @martinmzyece5499 5 หลายเดือนก่อน

    Organic tutor wakuleka fye

  • @chrisaira2084
    @chrisaira2084 5 ปีที่แล้ว

    Thanks Bro. Your video is really helpful.

  • @meskieLoves
    @meskieLoves 5 ปีที่แล้ว +2

    I like the way he says 'tangent line'

  • @paolosalazar9919
    @paolosalazar9919 6 ปีที่แล้ว +1

    Thank you so much

  • @mathguy4264
    @mathguy4264 7 ปีที่แล้ว +4

    Perfect !!! Thank you.

  • @edj2344
    @edj2344 5 ปีที่แล้ว

    Explains better than my teacher

  • @jeannewynneherring
    @jeannewynneherring 4 ปีที่แล้ว

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

  • @doraatieno5145
    @doraatieno5145 5 ปีที่แล้ว

    This helps a lot

  • @lotus_flower2001
    @lotus_flower2001 5 หลายเดือนก่อน

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

  • @sherarmurray2271
    @sherarmurray2271 6 ปีที่แล้ว +2

    27:45 "Hey, Smoothskin..."
    Great video btw really helped me out

  • @emilyallen4777
    @emilyallen4777 2 ปีที่แล้ว

    I love you sir

  • @slimanemesbah8500
    @slimanemesbah8500 3 ปีที่แล้ว

    god bless you JG

  • @priyashnasingh4282
    @priyashnasingh4282 4 ปีที่แล้ว

    Youre teaching me what my teacher cant

  • @ahmedrizwan3465
    @ahmedrizwan3465 ปีที่แล้ว +1

    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 9 หลายเดือนก่อน

      you are correct he made a mistake

    • @AkramAlyaseen-v6l
      @AkramAlyaseen-v6l 2 หลายเดือนก่อน

      I just wanted to write that

  • @ishmamgaming5166
    @ishmamgaming5166 ปีที่แล้ว

    What if c is a complex number in mean value theorem

  • @martinmzyece5499
    @martinmzyece5499 5 หลายเดือนก่อน

    God wanted to lecture his Children so he sent this man

  • @diamondninja4938
    @diamondninja4938 5 ปีที่แล้ว

    What I really want to know is the TH-cam ALGORITHM that recommends this video to me!

  • @zeinaaiman8567
    @zeinaaiman8567 2 ปีที่แล้ว

    Thank youuu

  • @AkramAlyaseen-v6l
    @AkramAlyaseen-v6l 2 หลายเดือนก่อน

    I'm confused....you say it must f(b)=f(a)....but in 23:54 it's not

  • @naseeradel3182
    @naseeradel3182 6 ปีที่แล้ว

    Thank you for the help.

  • @AbdulRehman-yl1ux
    @AbdulRehman-yl1ux 3 ปีที่แล้ว +2

    great

  • @ArunKumar-gu7zi
    @ArunKumar-gu7zi 7 ปีที่แล้ว

    thanks for such a nice video

  • @marshalldennis6483
    @marshalldennis6483 5 ปีที่แล้ว +2

    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.

  • @joeomar798
    @joeomar798 6 ปีที่แล้ว

    Thank you

  • @johnf.kennedy
    @johnf.kennedy 2 ปีที่แล้ว

    KING

  • @suspicious_coconut_water
    @suspicious_coconut_water ปีที่แล้ว +1

    The derivative of his aging process must = 0

  • @justshams7940
    @justshams7940 5 ปีที่แล้ว

    jan 10 , i ve an exam based on rolle's. thak u broo

  • @mawi3295
    @mawi3295 5 ปีที่แล้ว

    at 22:32 you mistakenly wrote a different function from the one you started with .

  • @satvikaputcha
    @satvikaputcha 6 ปีที่แล้ว

    Thank you!