Intermediate Value Theorem

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 84

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +6

    Next Video: ua-cam.com/video/joewRl1CTL8/v-deo.html
    Final Exams and Video Playlists: www.video-tutor.net/

  • @mariamibrahim5713
    @mariamibrahim5713 3 роки тому +24

    I never comment to anyone’s videos, but seriously you’re the absolute best! God bless you

  • @Gravityys
    @Gravityys 5 років тому +17

    You my friend are what we call a lifesaver.

  • @georgesadler7830
    @georgesadler7830 2 роки тому +16

    MR. Organic Chemistry Tutor, this is a fantastic video/lecture on the Intermediate Value Theorem in Calculus. This is another important theorem in Mathematics.

  • @dibbyabarua9499
    @dibbyabarua9499 6 років тому +50

    TOCT... you are the BEST!!! All of your videos are pretty well explained and easily understandable!!! :D :D :D Thanks a lot! Keep this up man!

    • @lochlancorey230
      @lochlancorey230 3 роки тому

      You all prolly dont care but does anyone know a method to get back into an Instagram account..?
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      @jedidiahcyrus2481 3 роки тому

      @Lochlan Corey instablaster :)

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      @lochlancorey230 3 роки тому

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    • @lochlancorey230
      @lochlancorey230 3 роки тому

      @Jedidiah Cyrus it did the trick and I actually got access to my account again. I am so happy!
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    • @jedidiahcyrus2481
      @jedidiahcyrus2481 3 роки тому

      @Lochlan Corey happy to help :)

  • @aboodahmed836
    @aboodahmed836 5 років тому +22

    Thank you soo much, I appreciate this useful and understandable videos ❤

  • @padminicmenon7628
    @padminicmenon7628 5 років тому +5

    Thank u I have been searching for IVT for my xams. After 3 days I hav maths xam 😅😅😅😂😂 . Thank u for uploading. I really don't understand when my teacher takes class. But by watching Ur video for one time I am able to understand the concepts. Thank u once again❤❤❤

  • @mazenelshazly6951
    @mazenelshazly6951 Рік тому +7

    bro IS the goat , BRO IS HIMMMMM

    • @Denzus01
      @Denzus01 9 місяців тому +2

      Bro no diffs Gojo

  • @TharinduDissanayake-kq6gf
    @TharinduDissanayake-kq6gf 3 місяці тому

    Usually, I don't comment to videos mostly, But It's more valuable to comment to this video because of this was helpful me a lot. Thanks

  • @cuneiformed
    @cuneiformed 5 років тому +4

    Since it was asked in these comments like a year ago the way to solving the first problem is by using Cardano’s Method

  • @khalolyyan7971
    @khalolyyan7971 3 роки тому

    On the first example, sign change with indicate that there is a root because it crosses the x axis.. awsome video! Thank you

  • @michaelkeller5714
    @michaelkeller5714 9 місяців тому +1

    The Organic Chemist strikes again! Mucho gracias.

  • @dalya.mohammed
    @dalya.mohammed 4 роки тому +1

    Thank you so much 💙💙💙💙 best Teacher 💎💎💎💎💎💎💎💎💎💎

  • @mutaeb197
    @mutaeb197 5 років тому +11

    Why do we need to calculate the interval (i.e. [0,3] ) if we were given the f(c) value? must it be between f(0) and f(3)? and thanks for the explaining you are AWESOME

    • @rawrdinoe4193
      @rawrdinoe4193 3 роки тому +2

      We have to make sure that the equal with work right with the interval. f(0) or f(3), one has to be negative and the other has to be positive.

    • @johnsmapreacher6525
      @johnsmapreacher6525 7 місяців тому +1

      To show you (students) that the K value is really in-between f(a) and f(b)
      The question is telling you, however he(organic chemistry tutor) is showing you that IVT is applicable.

  • @Raymond.Motshabi
    @Raymond.Motshabi Рік тому

    thank you , thank you , thank you

  • @shpoof
    @shpoof 3 місяці тому

    Thank you! This is very helpful, I have a calc exam in a few hours 😅

  • @LuyandaMkhwanazi-c6b
    @LuyandaMkhwanazi-c6b Рік тому

    thank you so much your videos made me understand better

  • @sarahlolo2100
    @sarahlolo2100 5 років тому +6

    What if we’re not given an interval only the equation and asked to find if a root exists

    • @mahinrahman5783
      @mahinrahman5783 4 роки тому +2

      solve the equation for f(x)= 0 that's the answer

  • @ayansuleymanova03
    @ayansuleymanova03 3 роки тому

    YOU ARE THE BEST. BIG THANKS

  • @LafErrari2040
    @LafErrari2040 4 роки тому +6

    Hey, so on the third example, how did you get (x-2)(2x+1)?

    • @ericwang9692
      @ericwang9692 3 роки тому +1

      He factored the equation by grouping

    • @sohamsantra7548
      @sohamsantra7548 3 роки тому

      He did factorisation of the quadratic equation

  • @magsanimation1
    @magsanimation1 Рік тому

    Love this guy ❤

  • @Gg-bn4vz
    @Gg-bn4vz 5 років тому +4

    what if the teacher does not give you an interval? how do you find the interval yourself?

    • @neutronzz3543
      @neutronzz3543 2 роки тому

      Graph and pick an interval I assume

  • @dakehami
    @dakehami Місяць тому

    Genuine question, what is the point of this theorem? It seems so trivial.

  • @aleksandarristoski2777
    @aleksandarristoski2777 2 роки тому +1

    I have a question. In the first example f(x)=x^3+4x-2 where we have [0,2] where a=0 , b=0. So we get f(0)= -2 and f(2) = 14 . Right. So we try to find "c" where f(a)

    • @prodby_jarom
      @prodby_jarom Рік тому +1

      I think that's because he said the problem to solve was proving that there is a c such that f(c)= 0. He proved it with this theorem but didn't solve the exact value (which wouldn't be necessary for the problem he stated)

  • @theweeknd8087
    @theweeknd8087 Рік тому +2

    Allah razı olsun

    • @elifkurt6025
      @elifkurt6025 Рік тому

      ilk defa türk gördüm bu adamın videosunun altında :D

  • @Full60
    @Full60 2 роки тому +1

    How do you solve X^3+4x-2=0 like in the first example?

  • @jameswindolf5939
    @jameswindolf5939 6 років тому +53

    So.....we know what NOT the answer is for the first example. The NOT answer is 1....sooooooo. What IS the answer?!

    • @kyleholland7154
      @kyleholland7154 6 років тому +4

      This^ Doing an equation using cube roots and I still don't know how to finish this.. Ugh!

    • @BrotherIntel
      @BrotherIntel 4 роки тому +19

      @@kyleholland7154 probably a little late but for anyone who stumbles upon this present day, just solve for x. FACTOR the polynomial after you set it to zero. But most of the time your professor or teacher will just ask you to SHOW that there is a root or zero within the interval, which is exactly what he did at 1:57

    • @zyronleerecto2050
      @zyronleerecto2050 3 роки тому +2

      His first example was a mess, it is not an integer but a fraction so he moved to the second example

    • @dalwidaocristalmayt.7411
      @dalwidaocristalmayt.7411 10 місяців тому

      #1 I cnt understand it I'm sorry but u move to another example like it's some disease

  • @_blueshift_3976
    @_blueshift_3976 6 років тому +1

    Thank you!!! TOCT

  • @thewhat2
    @thewhat2 6 місяців тому

    Wait shouldn't it be -1

  • @HilinaGuesh
    @HilinaGuesh Рік тому

    Thank you

  • @Md.TawfiqulIslam-k5x
    @Md.TawfiqulIslam-k5x 3 місяці тому

    You are the GOAT

  • @محمد-ك1ث3خ
    @محمد-ك1ث3خ 10 місяців тому

    رائع جداً❤❤

  • @Ramesh-ny2ik
    @Ramesh-ny2ik Місяць тому

    Bro my calculus teacher started giving us out problems of IVT without teaching what it is / how to do it

  • @MaEyaRh
    @MaEyaRh 7 місяців тому +1

    aweehhh🔥

  • @conormac663
    @conormac663 2 роки тому

    where did 11 come from?

  • @mixtapecentral248
    @mixtapecentral248 11 місяців тому

    why are you using 40????

  • @mansuratuharrisu5871
    @mansuratuharrisu5871 3 роки тому

    why is f(c) = 11

  • @jolierose4584
    @jolierose4584 Рік тому

    شكرآ ‏‪

  • @Hello_am_Mr_Jello
    @Hello_am_Mr_Jello 4 роки тому +2

    We call it TVI

  • @jeikobmelaku
    @jeikobmelaku Рік тому +1

    galaatomii baayyee

  • @adam3141
    @adam3141 4 роки тому +1

    If you were to show that a root exists betwwn say [-5,5] of x² for argument sake, if you plug in the numbers your going to get 25 for each one, but the IVT still holds there is a number c where f(c) is 0.
    I can see that if you have f(a) negative and f(b) positive then it's trivial but if both are positive or negative, it would seem to me that you would need to dig a bit further right, like finding critical points. Is that right?

  • @mantradesai6787
    @mantradesai6787 6 місяців тому

    why is his name organic chemistry tutor?💀💀

  • @acielvert8573
    @acielvert8573 4 роки тому

    In 8:30 you could've just used delta

  • @catalinasilvestre7778
    @catalinasilvestre7778 5 років тому +1

    Ap exam tmrw😁😁😁

  • @naomiw4874
    @naomiw4874 3 роки тому

    6:28

  • @ElectraBard-h3d
    @ElectraBard-h3d 3 місяці тому

    Gonzalez Ruth Young Jennifer Perez Mark

  • @samiulislamdurjoy
    @samiulislamdurjoy 4 роки тому

    G 197

  • @baruchcitygirl
    @baruchcitygirl 5 років тому +1

    youre a god

    • @ChampChamp000
      @ChampChamp000 10 місяців тому

      Don't compare the god with one of his creations dumbass

  • @AnikaSharma-s3f
    @AnikaSharma-s3f 4 місяці тому

    Thomas Jessica Thompson Amy Martinez Patricia

  • @NaimSonkan
    @NaimSonkan 4 місяці тому

    Davis Laura Thomas Ronald Lewis Frank

  • @renaizasamuels5850
    @renaizasamuels5850 2 роки тому

    😄😄

  • @jaypatterson7958
    @jaypatterson7958 6 років тому +3

    ???????????

  • @HKTechs
    @HKTechs 7 років тому +6

    1st like and comment

  • @MyeaBlagrove
    @MyeaBlagrove 11 місяців тому

    i must confess my love for you

  • @SagorikaAhamed
    @SagorikaAhamed 4 місяці тому

    Brown Lisa Lopez Sandra Harris Susan

  • @martinsmarveelouz-gq9pw
    @martinsmarveelouz-gq9pw 4 місяці тому

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  • @SophyHarlan-l6s
    @SophyHarlan-l6s 4 місяці тому

    Thomas Betty Lewis Thomas Thomas Michael

  • @Kesrh
    @Kesrh Рік тому +1

    You did not even explain the purpose of this theory

  • @StoweLauren-t1c
    @StoweLauren-t1c 3 місяці тому

    Anderson Jessica Johnson Kenneth Harris Nancy