❖ The Mean Value Theorem ❖

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  • Опубликовано: 30 янв 2025

Комментарии • 633

  • @nimrodmpandari7456
    @nimrodmpandari7456 8 лет назад +310

    when you posted this stuff i was in grade seven and 8yrs later Iam now a computer engineering student it is still working I dont know how to thank you sir ,good work.

    • @timacorn2536
      @timacorn2536 5 лет назад +13

      god damn, u were doing calculus in 7th grade???

    • @olivialane8804
      @olivialane8804 5 лет назад +2

      @@timacorn2536 lmaooo

    • @disatpathy
      @disatpathy 5 лет назад +3

      wtf, this is the same case for me
      I used the video in 8th grade and now I'm a comp. sc. 1st yr student and i'm using it again

    • @jesussaquin6266
      @jesussaquin6266 4 года назад +1

      Godman a true elon musk

    • @systematic3550
      @systematic3550 3 года назад

      @@disatpathy haha same we all forget

  • @daved1113
    @daved1113 9 лет назад +117

    I love khan academy, but honestly its mostly for high school level stuff and It helped during hs. Patrick JMT helps me more with my college stuff. Whenever I needed help with calc 1 for my engineering coursework, I found Patrick jmt loads of help with related rates and optimization etc. and he totally saved my butt for many a calc exam. Thnx a lot.

    • @ahmedkhalid6026
      @ahmedkhalid6026 6 лет назад +5

      Hey I know this is 3 years late but I’m wondering if you managed to get that engineering degree and how the process was?

    • @deliveringIdeas
      @deliveringIdeas 3 года назад

      @@ahmedkhalid6026 Did you get yours?

    • @flyaj8299
      @flyaj8299 2 года назад

      did you get your engineering degree? :)

  • @Jlightning1984
    @Jlightning1984 12 лет назад +3

    Don't stop what you're doing. You're one of the few people who can present calculus in less than 20 mins, and make complete sense, more so than any of my professors, and I've taken calculus 3 times. You're awesome, thanks so much.

  • @jonh886
    @jonh886 10 лет назад +146

    Best online Calculus teacher

  • @boostmoose
    @boostmoose 11 лет назад +58

    Patrick you are rock fucking solid. Praise the left handed math god!!

  • @_MARS_
    @_MARS_ 11 лет назад +369

    If i was rich i would pay you......sadly i am a broke college kid :( U are saving my life bro.

    • @glassunicorn1525
      @glassunicorn1525 7 лет назад +11

      BIGBOY8D I think you can pay in ad watching :)

    • @pack44
      @pack44 6 лет назад +19

      BIGBOY8D did you graduate?

    • @ComandaKronikk
      @ComandaKronikk 6 лет назад +5

      just pay him $1 a month.

    • @dandan2oo
      @dandan2oo 6 лет назад +7

      @@ComandaKronikk if everyone who watched this video paid him 1$ a month he would be quite rich lol

    • @mohammadmoosa7341
      @mohammadmoosa7341 4 года назад +2

      @@dandan2oo yeah around half a million dollars a month😂

  • @jacobpearce2881
    @jacobpearce2881 7 лет назад +2

    I'm a high school student taking calculus with no pre requisite beyond algebra 1, so thank you, man. Your videos are life savers

    • @glassunicorn1525
      @glassunicorn1525 7 лет назад

      Jacob Pearce woah your school let's you do that. I'd be totally lost w/out pre-calc

  • @Th1x4nG
    @Th1x4nG 13 лет назад +1

    People like you are what makes RUclips this great. I'm really struggling with my math class this year but I'm sure I'll manage thanks to your vids!

  • @travisallen4718
    @travisallen4718 10 лет назад

    I simply cannot understand WHY my professor would leave virtually ALL of this surrounding information out of our lesson on this theorem. Thank you so very much for illuminating the facts of this process/calculation. I'm stunned.

  • @IkuraChan
    @IkuraChan 14 лет назад

    Holy crap, I have a huge calculus test tomorrow and I was freaking out because I couldn't understand anything until I found this video! Thanks so much! You have pretty much saved my soul. :D I love how lessons on youtube are so much more easier to understand than lessons in class....

  • @alexisatkins7055
    @alexisatkins7055 11 лет назад

    I'm 12th grade taking calculus....you saved my life...because of you I know it's not me it's that my teacher sucks at teaching...you are the best teacher ever this is so helpful thank you so much idk his much more I can say thank you. You're a genius

  • @taffyslilgirl
    @taffyslilgirl 11 лет назад +1

    Thanks Patrick! My AP Calculus BC class at Geneseo High School watches your videos all the time. My teacher is a huge fan and often refers to you as his buddy and talks about how he wants you to come in to talk to us. :) You have a ton of fans here in Illinois!

  • @MissSmammy
    @MissSmammy 14 лет назад

    You're videos have taught me what my Calculus professor has been trying to teach my class for 6 months and failed miserably at. And I’m a math major, so I am pretty good at math, but he does math and we watch while you explain. Thank You, you’re videos have helped save my Calc grade.

  • @humphreylongflied4370
    @humphreylongflied4370 11 лет назад +15

    I wish I knew about you from the start, I would have never faild college math, thank you for what you are doing I believe I speak for millions around the world :)

  • @doublegdog
    @doublegdog 12 лет назад

    I cannot explain to you how immensly grateful me and the rest of the people who watch these videos are to you. Thank you for taking the time to make these videos. You are awesome!!!

  • @patrickjmt
    @patrickjmt  16 лет назад +1

    yep, that is it!
    you can think of the slope of the line connecting the endpoints as being the mean in the sense that it represents the average rate of change of the function on that interval.
    it says there is a tangent line on the graph in that interval with the same average rate of change! so the instantaneous rate of change must equal the average rate of change!

  • @mattadorespie
    @mattadorespie 13 лет назад

    I am a junior in high school in Calc A, your videos are especially helpful. My math teacher literally assigns homework and never teaches us how to do it. I'm so glad I found your videos, especially since I will take Calc BC next year as a senior. Thanks a lot dude, you're very helpful. :)

  • @tefu3621
    @tefu3621 3 года назад

    I’m about to start a PhD in math have been watching your videos since high school! Saved me countless times thank you!, 💕💕

  • @Funnyguy992
    @Funnyguy992 11 лет назад

    I know it's been said a million times, but I'm gonna say it again. Thank you so much for making me one of the very few people that doesn't feel like they're going to fail today's final exam. You my friend, are an actual teacher.

  • @Alex8892806
    @Alex8892806 7 лет назад +8

    what a guy!!! I have my IB math HL option calculus test and you're saving my life

  • @mlungisimndebele6435
    @mlungisimndebele6435 4 года назад

    Completed my Computer Science degree,just came back here to re-live how I exactly felt watching your videos.Priceless!

  • @Andyanne95
    @Andyanne95 11 лет назад +10

    You honestly saved me from failing my final! Thank you so much !!

  • @michaelayeni177
    @michaelayeni177 5 лет назад

    Your explanation for the negative exponent was something I was looking for hours. I got tired, so I moved on to your videos and BEHOLD the answer was here unexpectedly!

  • @harshitkumarsankhla25
    @harshitkumarsankhla25 11 лет назад

    Hats off to you sir. Maths was never easy then now. I personally recommend my friends to bunk the classes and watch your videos coz the teachers here don't even bother touching the roots of the topic like you. You are gifted sir and I hope your videos never end. I love em all. I watch even those which are not even in my course. Thank you Sir.

  • @WarLytle
    @WarLytle 11 лет назад

    This guy is awesome. He's helping me understand Calculus better than anything else and I wish I could thank him in person.

  • @hotstreek704
    @hotstreek704 15 лет назад

    I joined online school, and they don't even provide teachers for me who can teach calculus. This whole semester I've been stuck not knowing what to do until I found your videos. I would have failed the class and the AP Test for sure if not for your teaching. Now I'm getting a B!!

  • @hakunamate
    @hakunamate 11 лет назад

    you are awesome man
    whenever i get confused with my math problems, i just come here and you just clear everything up
    you helped me so much, thanks so much

  • @king4118
    @king4118 11 лет назад

    dude you are a life saver honestly...you must hear this alot but OMG you are A BEAST IN MATHS AND TEACHING IT!!...getting the message across like a BOSS.!

  • @patrickjmt
    @patrickjmt  12 лет назад +4

    thanks for telling your friends and thanks for the donation! ;)

  • @alexsocial23
    @alexsocial23 10 лет назад +1

    It's midnight and my exam is tomorrow, this is just perfect. Appreciated your help dude. keep up.

  • @iremustek778
    @iremustek778 7 лет назад +14

    after 9 years, still thank u!

  • @katerinawsy
    @katerinawsy 13 лет назад

    Patrick, thank you. I used to be so good at math. I loved to read, so in high school all I'd do is read during math class. I maintained a minimum of an A-. Then here comes college where I can skip class altogether. Note: I have been going to class most of the time, but I'm very flexible about skipping. Obviously, I regretted it when I got a poor grade on our 1st midterm. Which was way too hard, even the professor said so. But for this midterm, I'm feeling so much more confidant, thanks to you!

  • @MistaaSilky
    @MistaaSilky 11 лет назад +5

    You make so much more sense than my teacher! Thank you thank you thank you!

  • @gobbledee55
    @gobbledee55 13 лет назад

    Dude no words can describe how awesome you are ! You truly have a gift of teaching. I don't know how to explain it but it must be an accumulation of things that you do to convey to your audience and make them understand the material !

  • @JustPassingByHere
    @JustPassingByHere 13 лет назад

    i can honestly say without a hint of exaggeration that i learn more in these 10 - 15 min vids you make, than i do during a one hour and forty min lecture by my teacher. i just wish you did calc based physics too.

  • @dcperez87
    @dcperez87 14 лет назад

    Hello patrick I just want to say thank you very much, I was out from school for 5 years and now im getting back to it, I must admit Im not doing that good, but mainly because I do not understand my teacher, the only good thing about it is that I can always rely on this wonderful videos you post, to get a better idea of what I'm doing, thank you very much and please keep up the great work......

  • @MrAndrewlee619
    @MrAndrewlee619 15 лет назад

    wow i can't stress how much you've helped me in calculus teaching it alot more clearer than my professors. Keep up the great work!

  • @frizzlehead9
    @frizzlehead9 14 лет назад

    my teacher explained this to my class yesterday and i had no idea what was going on lol. Watched this and I know exactly whats going on :) Thanks a bunch!

  • @ahhlleeessaa
    @ahhlleeessaa 11 лет назад

    I'm taking an 8 week course of Calculus. THANK YOU SO MUCH for clearing up many things that my Professor could not thoroughly explain! You are awesome Patrick!!

  • @pigeonman07740
    @pigeonman07740 14 лет назад

    Thank you so much. This video alone taught me more than my teacher taught in the last chapter and a half. You may have saved my graduation. Thank you again

  • @patrickjmt
    @patrickjmt  14 лет назад

    @dcperez87 thanks for the kind words! i will keep doing what i can!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @patrickJMT it is a patrickjmt that is about 4 years younger!

  • @juliendark4208
    @juliendark4208 7 лет назад

    I'm literally revising for my Calculus final by watching your videos. You are an amazing teacher!!!!!
    Sincerely,
    A Brown Student.

  • @sarahali4540
    @sarahali4540 12 лет назад

    i need a really high mark in my final calculus exam tomorrow , this is helping a lot ! Thank you , from Qatar !!

  • @zeckwiz
    @zeckwiz 11 лет назад

    Patrick you are the BEST. love how you explain the math so laid down. makes it feels so easy

  • @ebk23
    @ebk23 13 лет назад

    thank you! i'm from sweden, but our calculus book is in english for some reason. your videos help a lot, both when it comes to understanding the subject and to learning the english terminology. tack så mycket!

  • @claireLovesBulbasaur
    @claireLovesBulbasaur 12 лет назад

    PatrickJMT is my hero. All I do is brag about your Calculus skills at school.

  • @mage1413
    @mage1413 13 лет назад

    yo man, I am in life science first year, and i HAVE to take calc for my program even though i dont need it in the future...and i hate calc. however watching this videos makes everything so much easier, its practically motivating me to do good in school. keep up the good work

  • @staceyksmith1095
    @staceyksmith1095 10 лет назад

    Your Video's are extremely helpful. i grasped the concept within 15 minutes after struggling with it for hours. Thanks a mil!

  • @atiquephyniatic
    @atiquephyniatic 11 лет назад +6

    Thank you for the explanation! I have been so confused for so long

  • @misty348
    @misty348 10 лет назад +19

    I honestly don't wanna sound cocky or anything when I ask this but I would really like someone to explain how this is used in everyday life and why are we made to learn it?

    • @chrisbarrett5890
      @chrisbarrett5890 10 лет назад +5

      do you study calc or your just taking a G.L.E.R. course? MVT helps with some calc and calc is a part of how we derive equationd for physics or I'm sure ( although I'm not taking chemistry ) some chemical equations. But in terms of everyday life alking around on the street nothing absolutely nothing.

    • @grantwaggenspack5122
      @grantwaggenspack5122 10 лет назад +3

      Pretty much any STEM field uses stuff like this.

    • @Aoriks
      @Aoriks 10 лет назад +4

      Its not really useful if you aren't becoming an engineer, but, without forming a basis of understanding for calculus a lot of modern technology we have today would not exist

    • @normtheclone
      @normtheclone 10 лет назад +20

      Math is extremely useful for describing and understanding the world. It applies to everything in the universe; literally everything and anything. There is nothing that exists that violates mathematics. If you understand an idea in mathematics, you understand something that is true about the very nature of reality, something that is timeless and eternal, something thats extremely abstract and yet more real than anything else. Math is useful because applies to everything you can think of, but even more so, its useful because its interesting and simply amazing.

    • @jakeweightman3164
      @jakeweightman3164 10 лет назад +14

      Because learning for the sake of knowledge is a beautiful thing.

  • @isabellaliu7222
    @isabellaliu7222 7 лет назад +13

    It's very helpful for me to prepare Calculus BC exam.I even pay for VPN in order to watch your video on youtube since we are not allowed to use youtube in China.

  • @1mat3u5z1
    @1mat3u5z1 13 лет назад

    i wanna take a minute and thank you for postin all these videos, thanx to you, i am doing amazing in my calc class and i feel less stressed knowin that you also have videos for calc 2, 3, nd differential questions. Thanx Patrick you r my math hero

  • @chenyaoma4876
    @chenyaoma4876 7 лет назад

    I am a MSU student, your video is really useful I recommended to my friends, thats all l can do thank you

    • @patrickjmt
      @patrickjmt  7 лет назад

      thanks for recommending me, i really appreciate it!

  • @KurdzOfIslam
    @KurdzOfIslam 12 лет назад

    I usually skip ads on youtube, but since your videos helped me out a lot, i will not skip them :-)

  • @9993703997
    @9993703997 14 лет назад

    Dear Sir,
    Please accept my sincere thanks for explaning the topic so nicely and easily.
    Hope you upload some more videos.
    Thanks again.
    The example was very nice to understand the concept

  • @thatsnotme3235
    @thatsnotme3235 6 лет назад +1

    You're the real OG and MVP bro

  • @anjalibhatnagar3514
    @anjalibhatnagar3514 10 лет назад

    Your explaination is just way different & best i 've ever had ! Thanks bud !

  • @ilovezb1
    @ilovezb1 13 лет назад

    This helped so much for last minute studying for the AP calc. exam tomorrow. Thanks!

  • @DaManSteph
    @DaManSteph 13 лет назад

    Thanks for all your great videos! I go to class and come home extremely frustrated cause my teacher sucks. Once I watch your videos I feel a lot better. I actually kind of like calculus cause of you. thanks for the videos and keep em coming :)

  • @hanoood9629
    @hanoood9629 11 лет назад

    YOU ARE THE MOST AMAZING TEACHER I'VE KNOWN. thank you from the bottom of my heart :D

  • @Joaquin77
    @Joaquin77 15 лет назад

    Hello PatrickJMT, I had to post a comment thanking you for all the time you put into these videos. I have been using justmathtutoring(dotcom) for my Calculus class and I always find it very very useful! Your videos are very easy to understand and the examples you use are great, a little complicated but that's how I learn the hard ones to do the easy ones faster!! Good luck on your career and thanks again for all your help.

  • @Deleoss
    @Deleoss 11 лет назад

    I learn so much more watching your videos than I do in class.

  • @patrickjmt
    @patrickjmt  16 лет назад

    sorry to confuse! i figure with video, you just pause or rewind!!

  • @theLuigiguy-legacy
    @theLuigiguy-legacy 11 лет назад

    Glorious. Learned everything from 7 days of math in 15 minutes. I can do all my textbook probs now too! Thanks!

  • @SuperYooshii
    @SuperYooshii 13 лет назад

    Finally! A math teacher I can understand! (both in terms of vocabulary and diction) :p

  • @KAYLEEZEE-z4j
    @KAYLEEZEE-z4j 9 месяцев назад

    This video was uploaded 15 years ago but he still saves our semester

    • @patrickjmt
      @patrickjmt  9 месяцев назад

      the math has not changed :)

  • @patrickjmt
    @patrickjmt  12 лет назад

    glad you like them

  • @TheSonicSegaNerd
    @TheSonicSegaNerd 8 лет назад +167

    The Meme Value Theorum

  • @patrickjmt
    @patrickjmt  13 лет назад

    @Yhwhian well, i do not want to have influence over anyone, unless it is to encourage them to study and to work hard : )

  • @patrickjmt
    @patrickjmt  14 лет назад

    @jazmiyko you are welcome!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @ADMlN02 you can have a negative inside an odd powered root, which this is.

  • @Dankwansere
    @Dankwansere 14 лет назад

    Thanks to you, i'm passing my "Differential Calculus" class in university. Your the best man! keep on making these videos :)

  • @thekilmer09
    @thekilmer09 11 лет назад

    Open intervals are written with parenthesis"(" and ")". Close interval is written with brackets "[" and "]". But writing intervals with parenthesis may confuse it for a coordinate in the cartesian plane. I suggest that you write intervals as "axb". :)

  • @patrickjmt
    @patrickjmt  13 лет назад

    @bobschneeify my pleasure! i post em cause of all the nice comments i get, like from you.

  • @CSP31CSP
    @CSP31CSP 14 лет назад

    MISSED A ENTIRE WEEK OF CAL 1 LAST WEEK BECAUSE OF THE FLU.....................THANK GOD FOR YOU!!! (COLLEGE STUDENT!)

  • @abualool1996
    @abualool1996 10 лет назад

    man i just donno how to thank you you are unbelievably amazing and the best math teacher everrrrr !!!! :) :) :) :)

  • @patrickjmt
    @patrickjmt  14 лет назад

    @like9orphanz glad you like them : ) i have tons of calc 2 stuff as well!

  • @musicloverboi
    @musicloverboi 16 лет назад

    Amazing!! Many of your videos are EXTREMELY relevant to what I am doing now!! (I am a first year maths undergraduate) Thank you very much for your videos!

  • @milliekim5072
    @milliekim5072 7 лет назад

    You are an awesome teacher. I can clearly understand of the Rolle's mean Theorem. Thank you and God bless you!

  • @999AnnA999
    @999AnnA999 15 лет назад

    i wish textbooks can talk like you. thank you for all the videos

  • @ExtremeTamato
    @ExtremeTamato 9 лет назад +2

    Thank you for the clear explanation, it's an easy concept when you explain it.

  • @Alex-bc3tt
    @Alex-bc3tt 11 лет назад +1

    You the best.... I can clearly understand... Wish i had you as my lecture... Keep up the good work

  • @dh4031
    @dh4031 14 лет назад

    I can't thank you enough! ^.^ You really help out a lot of people like me. Just some quick last minute studying and this is really making sense. You are better than my teacher at explaining this!

  • @charmman1990
    @charmman1990 12 лет назад

    Patrick, Thanks for the videos! All of them are fantastic to me, I really like the way how you explain everything step by step. From calgary, AB, Canada.

  • @Adiamondzz11
    @Adiamondzz11 14 лет назад

    thank you so much for your videos.. I am running short on time because I have a lot to do and little time to study for calculus so i find it difficult to sit down read everything in the textbook (i don't understand my professor), so I always look at your videos and they make everything so EASYY and fast .. THANK YOU once again:)

  • @zuhairalsaffar7001
    @zuhairalsaffar7001 4 года назад

    Sir you're awesome, perfect you are the best teacher that I have known thanks for your kindness and I like your way of teaching

  • @zerui8437
    @zerui8437 8 лет назад +2

    great help!!!! My teacher talking two hours on this than after your video I think I get it.

  • @patricksonbule174
    @patricksonbule174 7 лет назад

    the best ever explanation on mean value theorem. thanks.

  • @MSuss98
    @MSuss98 11 лет назад

    thank you soo much. this is great. i was stuck on this for the longest time and you explained it perfectly

  • @chaboomchaboom1
    @chaboomchaboom1 11 лет назад

    seriously thank you for making these videos I love you

  • @smarttarts
    @smarttarts 13 лет назад

    You should really write a math book. It'd make so much more sense than the ones my school buys

  • @GearsGOAT
    @GearsGOAT 11 лет назад

    I actually got an A on my Calculus mid-term from watching your videos! Thanks a lot!

  • @patrickjmt
    @patrickjmt  15 лет назад +7

    i *heart* chess. i just beat some random IM

  • @bayankananian8115
    @bayankananian8115 10 лет назад

    Thanks for sharing your awesome videos with us!! I wish you could feel my happiness after watching your videos ☺️ You are my math hero Patrick! 😄

  • @xguitar911
    @xguitar911 12 лет назад

    Great video! I'm in Calculus AB in 12th grade, and this really helped. I'll definitely come here when I need help!

    • @gabe5225
      @gabe5225 4 года назад

      what score did u get

  • @Craziibyall
    @Craziibyall 12 лет назад

    Omg I have a midterm tomorrow and this helped me SO much!

  • @nguyenproas
    @nguyenproas 14 лет назад

    woow, thank you very much patrick. Your videos helped me a lot! by watching your videos i almost passed my first year calculus!

  • @patrickjmt
    @patrickjmt  14 лет назад +1

    @MrSomeonenotspecial ha : ) no problem. less smartiness and more hardworkyness

  • @phoreal22
    @phoreal22 14 лет назад

    flawless video, loved it. math in high definition cant get any better!!!