Absolute & Local Minimum and Maximum Values - Relative Extrema, Critical Numbers / Points Calculus

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  • เผยแพร่เมื่อ 10 พ.ย. 2024

ความคิดเห็น • 153

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 หลายเดือนก่อน

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    @safaali1250 7 ปีที่แล้ว +88

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      @cubit404 ปีที่แล้ว +1

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      @3rdDegree_ 10 หลายเดือนก่อน

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      @powerToYourself36 4 ปีที่แล้ว +3

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      @powerToYourself36 4 ปีที่แล้ว +1

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      @christiancardenas3261 3 ปีที่แล้ว

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      @powerToYourself36 3 ปีที่แล้ว +4

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    • @incel007
      @incel007 3 ปีที่แล้ว

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    @raptorravioli662 2 ปีที่แล้ว +7

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    @mingjiejujason9073 5 ปีที่แล้ว +9

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    @dinab8088 7 ปีที่แล้ว +23

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    @Islamicreminder2006 ปีที่แล้ว

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    @hunterzolomon3507 7 ปีที่แล้ว +5

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    @m.amirulhakim7406 4 ปีที่แล้ว +141

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    @hadeerrashad5486 7 ปีที่แล้ว +5

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    @Zenbeau 4 ปีที่แล้ว +5

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    @johnguillen68 7 ปีที่แล้ว +10

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    @jeremiaskorach 7 ปีที่แล้ว +4

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    @mehirbanda7156 7 ปีที่แล้ว

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    @marvinsimukonda8049 2 ปีที่แล้ว

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    @anber4129 6 ปีที่แล้ว +3

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    @luigidegregorio5153 3 ปีที่แล้ว

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    @riteshkumar-xn9kj 5 หลายเดือนก่อน

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  • @danjumaameh1601
    @danjumaameh1601 5 ปีที่แล้ว

    OK. You corrected it. I was wondering why no one mentioned it earlier.

  • @QuinnSeward-p2u
    @QuinnSeward-p2u 10 หลายเดือนก่อน

    Thank you for this video, nice explanations. One correction: f(2) = 3(2)^2 - 12(2) + 5 = -7 actually, not 41. Cheers!

    • @QuinnSeward-p2u
      @QuinnSeward-p2u 10 หลายเดือนก่อน

      Whoops, just saw your in-video correction. No worries!

  • @phenomenon7030
    @phenomenon7030 5 ปีที่แล้ว +12

    that is a historical moment 36:45

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    @injusticegods_yt2617 24 วันที่ผ่านมา

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  • @wildlifeadventuregirl
    @wildlifeadventuregirl 4 ปีที่แล้ว +2

    For the last problem I dont think you would include -3/2^1/2 because it is equal to -2.1 which is outside the restricted domain. so there would be no local min and -2 would be the absolute min. Correct me if Im wrong.

    • @SM-qn7sr
      @SM-qn7sr 2 ปีที่แล้ว +1

      At 1:09:00 he said it’s not part of the interval

  • @doricejustine8342
    @doricejustine8342 4 ปีที่แล้ว

    Best teacher ever thank uuu so much

  • @mr.9754
    @mr.9754 4 ปีที่แล้ว

    52:10 If you want to shave (valuable) seconds off (while getting a better idea visually/kinestheticly), don't bother wasting time "testing points" to find out where the derivative changes sign. Simply quickly plot the (*numerator of the) derivative, ie plot f' vs x. Just use end behavior and the zeros to do this. (*Yes, there is something in the denominator in this particular example because we are dealing with a rational function, but in this example the denominator is always positive, so it won't affect finding where f' changes sign. Keep in mind, that you can avoid "testing the points" 100% of the time if dealing with a polynomial function.)

  • @jrivas8112
    @jrivas8112 5 ปีที่แล้ว

    Wow your explanation was very clear. Like

  • @danjumaameh1601
    @danjumaameh1601 5 ปีที่แล้ว +4

    @36.12 it should be minus 12(0) i.e -0 and not +0 as stated in the question but more importantly perhaps @ 3.27 which should be -12(2) and not +12(2) ...... -24 and not +24 hence final answer @36.45 should be -7 and not +41.

    • @jimhalpert9803
      @jimhalpert9803 4 ปีที่แล้ว +1

      Bruh he corrected it in the video itself.

  • @kabeerjamal9518
    @kabeerjamal9518 2 ปีที่แล้ว

    This was really helpful, Thanks a lot.

  • @Inktron
    @Inktron ปีที่แล้ว

    This video has saved me in my darkest hour

  • @notomatoesx
    @notomatoesx 5 ปีที่แล้ว

    awesome, now do it with trig max and minimums !!

  • @phyoeminnkyaw9551
    @phyoeminnkyaw9551 ปีที่แล้ว +1

    thank u

  • @StonesVoulaguealiyaini
    @StonesVoulaguealiyaini 5 ปีที่แล้ว

    All I could say is thank you very much.

  • @improvementology4011
    @improvementology4011 ปีที่แล้ว +1

    44:30

  • @honardocaliboso4765
    @honardocaliboso4765 4 ปีที่แล้ว +1

    In 27:55 it's super complicated.

  • @md.akibhasan5633
    @md.akibhasan5633 8 ปีที่แล้ว +2

    Thanks ❤. please do videos on area between two curves and also on volume by slicing disks and washers methods ,volume by cylindrical shells

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    @rijiii_ 2 ปีที่แล้ว +1

    I like your voice...

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  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 ปีที่แล้ว

    these long videos are soo helpful and in depth, can you make vids on Vector Geometry and Linear Algebra !??!

  • @jemenztv3297
    @jemenztv3297 ปีที่แล้ว

    Very helpful,thanks ❤

  • @vaga8bnd
    @vaga8bnd 3 ปีที่แล้ว

    Very useful. Thank you sir.

  • @vctoriaotumdi9991
    @vctoriaotumdi9991 5 ปีที่แล้ว +1

    Thank you

  • @austenwilliams3259
    @austenwilliams3259 2 ปีที่แล้ว

    youre the best!

  • @naledibosigo3257
    @naledibosigo3257 3 ปีที่แล้ว

    Thank you so much for everything 💕

  • @Phyto.
    @Phyto. 6 ปีที่แล้ว

    Excellent, as always.

  • @XxRespawNxX619
    @XxRespawNxX619 8 หลายเดือนก่อน

    Thank you !

  • @mazensooud3539
    @mazensooud3539 4 ปีที่แล้ว

    Thank you very much👌👍

  • @realAgitated
    @realAgitated 6 ปีที่แล้ว +1

    thank you chief

  • @praneethpottimuthi457
    @praneethpottimuthi457 5 ปีที่แล้ว

    Very helpful

  • @hopecritical-ops5554
    @hopecritical-ops5554 ปีที่แล้ว

    Quick question: Wouldn't the square root of 9-(3)^2=0, which would create a domain issue?

  • @Chrisymcmb
    @Chrisymcmb 3 ปีที่แล้ว

    Thanks G

  • @mirzamaisha9719
    @mirzamaisha9719 5 ปีที่แล้ว +21

    whoever dislikes his videos will never be able to learn anything in life.

    • @jimhalpert9803
      @jimhalpert9803 4 ปีที่แล้ว +2

      Dislikers are probably the rival educational youtubers lol

    • @ghhjjhjjjhujjvfhm7962
      @ghhjjhjjjhujjvfhm7962 3 ปีที่แล้ว

      No just hate your comments
      If someone commented it id probably like it
      A hole

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 ปีที่แล้ว

    you are amazing

  • @rosishkatuwal5677
    @rosishkatuwal5677 5 ปีที่แล้ว

    Great video....👍👍👍

  • @doyoarero5599
    @doyoarero5599 5 ปีที่แล้ว

    Thanks sir big salute!

  • @magnus4537
    @magnus4537 ปีที่แล้ว

    What if we have two minimums, but they are "the same"?
    (-1, -1) and (1, -1). Are both absolute minimum? Or are they both local minimum?

  • @nyomimorris6364
    @nyomimorris6364 2 ปีที่แล้ว +1

    41:33, I am confused why 0 is part of the critical points. Wouldnt it just be -1 and 1?

  • @ingoingason6680
    @ingoingason6680 7 ปีที่แล้ว +4

    hey man, can you take my exam for me? thanks

  • @MostafaMahmoud-tw7xi
    @MostafaMahmoud-tw7xi ปีที่แล้ว

    36:45 he switch the -12 to +12 did anyone noticed ?

  • @name12nolastname56
    @name12nolastname56 6 ปีที่แล้ว

    Thank You!

  • @amitberwal3673
    @amitberwal3673 7 ปีที่แล้ว +1

    Thanx

  • @Mostafaadelahmed-my4rn
    @Mostafaadelahmed-my4rn 7 ปีที่แล้ว

    Thank you so much

  • @blenkal5373
    @blenkal5373 5 ปีที่แล้ว

    Seriously I Thank u.

  • @Shwoompy
    @Shwoompy 7 ปีที่แล้ว

    THANK U BROTHA

  • @xxpirategamingxx7994
    @xxpirategamingxx7994 6 ปีที่แล้ว

    God bless you

  • @clarawhelan5717
    @clarawhelan5717 3 ปีที่แล้ว +1

    i love you

  • @rami5155
    @rami5155 6 ปีที่แล้ว +5

    @1:04:30 you keep using -3/sqrt(2) wich is -2.12 so its out of our intervall. Or did I do something wrong here?

    • @Loots1
      @Loots1 5 ปีที่แล้ว +1

      no youre right, i think he just made a mistake

    • @misutokiriya6547
      @misutokiriya6547 4 ปีที่แล้ว +2

      It's been like a year but for future uses, he did remove it in the end; thus, not making it the absolute minimum value in the interval [-2,3]

  • @nicholasmaloof8378
    @nicholasmaloof8378 5 ปีที่แล้ว +5

    Him: "and the value is 46"
    Me: "OH MY GOD WHAT DID I DO WRONG HOW DID HE GET THAT"

  • @ARTDEVGRU247
    @ARTDEVGRU247 2 ปีที่แล้ว +2

    increasin' decreasin'. My boy is such a g he doesn't have to pronounce his g's.

  • @SM-qn7sr
    @SM-qn7sr 2 ปีที่แล้ว

    on 57:26, shouldn't the graph be restricted on the interval [-1,2]? Why did you make it continuous on all real numbers?

  • @eddie6167
    @eddie6167 4 ปีที่แล้ว +1

    Physics C E&M Playlist?

  • @rickybobby5584
    @rickybobby5584 6 ปีที่แล้ว

    Very nice but on 7:20 you said if f'(c) doesn't exist, we have a cusp. Not necessarily coz we might have vertical tangent just like in f(x)=x^(1/3) at x=0 . So how can we tell if we have a cusp or vertical tangent?

    • @SM-qn7sr
      @SM-qn7sr 2 ปีที่แล้ว

      its a cusp because if f'(c) doesnt exist at x=a certain number then its not differentiable at that number and not differentiable means the first derivative isn't continuous on x=that number. Its only a verticle tangent if f(x) is undefined, not f'(c)

  • @ratimshariar102
    @ratimshariar102 2 ปีที่แล้ว

    what will we do when we have modulus function

  • @sebastiangiray3614
    @sebastiangiray3614 4 ปีที่แล้ว

    question on the laast problem..................................why would you include -3/2^1/2 ???? its already beyond -2???? please answer??organic chem plssss

  • @suga_tofu
    @suga_tofu 4 ปีที่แล้ว

    Does absolute max/min mean global max/min?

  • @Zenbeau
    @Zenbeau 4 ปีที่แล้ว

    14:08 you said if the leading coefficient has a odd power like x^3 then it will have no max or minimums. but at 22:21 that function also has a leading coefficient with odd power of ^3 but that one has a max and minimum for some reason?

  • @MohammedAhmed-ut1mr
    @MohammedAhmed-ut1mr 2 ปีที่แล้ว

    First of all, your videos are grades saving. But this is not what I want to say cause it is obvious, my question is how the hell do you know all those things like physics, chemistry, and math😅. You make me feel like they are piece of cake

  • @samadkamran5303
    @samadkamran5303 5 ปีที่แล้ว

    So like... does chain rule not apply to this because when you bring the exponent down don't you have to multiply the expression by its derivative-

  • @SummerConquera
    @SummerConquera 5 หลายเดือนก่อน

    Thankyouuuuu🥺❤️

  • @user-ew5vj1sl1u
    @user-ew5vj1sl1u 2 ปีที่แล้ว +1

    57:50

  • @adityawankhede7260
    @adityawankhede7260 2 ปีที่แล้ว

    8:82
    Shouldn't the lower local min be a critical number instead?

  • @Altafkhan-ui2yd
    @Altafkhan-ui2yd 2 ปีที่แล้ว

    more knowlege in short time😱

  • @MaurickSh
    @MaurickSh 4 ปีที่แล้ว

    When you plug in a 2 into 2(2x-3), wouldn't you get a negative 2 instead by following order of operations, so instead of 2X2 = 4 -3 = 1, you'd do 2 - 3 = -1 X 2 = -2?

    • @SM-qn7sr
      @SM-qn7sr 2 ปีที่แล้ว

      that isnt how order of operation works....

  • @saadalikhan494
    @saadalikhan494 3 ปีที่แล้ว

    I have a query. at 3:58 we have a graph which does not have a minima as last point is encircled and therefore is not part of the graph but the point before that is included in the graph so why we don't consider it as a minima.
    Thanks in advance

  • @RiusII401
    @RiusII401 4 ปีที่แล้ว +1

    Hi, for the first problem you did, does it matter which number you plug into the first derivative? You did plugged in a # that is smaller than 1.5 into 2(2x-3). If I plug in a # that is smaller that 1.5 into 6x-6, would I still get the same answer as you? Thank you!

  • @thabisombingo6269
    @thabisombingo6269 ปีที่แล้ว

    Why don't you use the second derivative? U don't think it's faster???

  • @abdoullagamer4500
    @abdoullagamer4500 6 หลายเดือนก่อน

    3 hours before the exaaaaaaaaaaaaaaaaaaam

  • @nisarali1954
    @nisarali1954 7 ปีที่แล้ว

    zaber 10 teacher dy,,,,,,,,,,,,,,,,hd py kae nu mara

  • @hsc4648
    @hsc4648 5 ปีที่แล้ว

    made a bit of petty mistakes compared to other tutorial films but so what! It's an absolute fact that he is very helpful to most of the Math degenerates out there

  • @kurtseiffert8392
    @kurtseiffert8392 5 ปีที่แล้ว +2

    I feel like I should be paying him

  • @christanellylaboga8279
    @christanellylaboga8279 6 ปีที่แล้ว +1

    how is 5/3 present in 2/3? please explain

  • @3B-OD
    @3B-OD 11 หลายเดือนก่อน

    52:25 if you plug in 1 the answer is gonna be negative no ?

  • @BurmeseUSA
    @BurmeseUSA 6 ปีที่แล้ว

    the only thing i dont like on your video is the volume inequality. you speak soft, so i turn the vol up. whenever the ads comes, it wakes everyone up since i study at night. :(