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

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  • Опубликовано: 28 окт 2024

Комментарии • 152

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  9 месяцев назад

    Derivative Applications - Formula Sheet: bit.ly/4eV6r1b
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  • @isaacliu._.6899
    @isaacliu._.6899 3 года назад +43

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    • @cubit404
      @cubit404 Год назад +1

      Now he's got twice that... well deserved

    • @jnb3451
      @jnb3451 Год назад +2

      @@cubit404 Now he's got thrice that.... very well deserved

    • @3rdDegree_
      @3rdDegree_ 10 месяцев назад

      2 years later, he has the same numbers just in a different order. At 7.21m subs now!

  • @safaali1250
    @safaali1250 7 лет назад +87

    Youre a life saver. Seriously, I really cant thank you enough. You have literally saved me. You dont know how much it means to us students. Thanksssss

  • @oliviawickett2732
    @oliviawickett2732 4 года назад +35

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  • @powerToYourself36
    @powerToYourself36 6 лет назад +82

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    • @powerToYourself36
      @powerToYourself36 4 года назад +3

      ​@@Anthony-bn1go I did that intentionally grammar police :P.

    • @powerToYourself36
      @powerToYourself36 4 года назад +1

      @Arc10 lol

    • @christiancardenas3261
      @christiancardenas3261 3 года назад

      @@powerToYourself36 Wow noob. Still responding to replies 2 yrs later🤧

    • @powerToYourself36
      @powerToYourself36 3 года назад +4

      @@christiancardenas3261 coming from the one who is commenting on a 2 year later reply 🤧🤧🤧🤧🤧🤧🤧

    • @incel007
      @incel007 3 года назад

      @@powerToYourself36 u still find the organic chemistry guy useful to u ? even after 2 years? and what are u studying right now ?

  • @mingjiejujason9073
    @mingjiejujason9073 5 лет назад +9

    Thank you for helping me to pass high school and univeristy. You're a life saver, thank you.

  • @raptorravioli662
    @raptorravioli662 2 года назад +7

    I hope a math formula invented in the future is named after this guy to instill his helpfulness for all of time.

  • @Mikss-i2c
    @Mikss-i2c 4 года назад +8

    Much Love from Africa,you are really helpful sir.

  • @m.amirulhakim7406
    @m.amirulhakim7406 3 года назад +140

    When my friends asked me how do i get so good at calculus, i simply answer. “Im just an apprentice to a Calculus god on youtube”

  • @ronalds271
    @ronalds271 5 лет назад +5

    You are the best teacher - best on RUclips. I learn a lot from all your videos. Thank you so much. Please post more AP Calculus and AP Chemistry videos. Please post AP Calculus videos with solved college board questions. Thank you.

  • @hadeerrashad5486
    @hadeerrashad5486 7 лет назад +5

    You’re videos are excellent because you explain and cover all the materials perfectly! Thank u very much!

  • @johnguillen68
    @johnguillen68 7 лет назад +10

    I really enjoyed watching your videos. Very explanatory and understandable.

  • @Zenbeau
    @Zenbeau 4 года назад +5

    from the bottom of my heart, thank you so much for these videos

  • @biakmuantonsing381
    @biakmuantonsing381 3 года назад +1

    I got full mark in the exam...I do not even practice my Textbook queries as once I watch your video everything is explained well..your are extremely good in explanation..pliz update more and more videos..

  • @fritz4468
    @fritz4468 Год назад +2

    This guy's videos helped tons of people!

  • @notevennelson
    @notevennelson 6 лет назад +3

    I wish people could donate; this guy is very calm and helpful.

  • @gabrielaquesada-mendez356
    @gabrielaquesada-mendez356 6 лет назад +3

    you're the only reason I'm passing calc thanks for your videos

  • @dinab8088
    @dinab8088 7 лет назад +23

    In the class they don't teach us like that.. Thanks, it helped me a lot.

  • @hunterzolomon3507
    @hunterzolomon3507 7 лет назад +5

    I understand you better than my teacher, thanks so much for making this videos they have helped me a lot

  • @Islamicreminder2006
    @Islamicreminder2006 Год назад

    Just wanna say you are amazing teacher....You solved mah biggest problem....you are just outstanding...

  • @anber4129
    @anber4129 5 лет назад +3

    I really like all your videos. They are the best on youtube, in my opinion. But my attention span litterally ends in like 6 mins or so when I watch ur videos.. like, I struggle to stay focused. 😁. But anyways, awesome vids! Keep it up! 😎

  • @phenomenon7030
    @phenomenon7030 4 года назад +12

    that is a historical moment 36:45

  • @luigidegregorio5153
    @luigidegregorio5153 3 года назад

    you are really a great person thank you so much for shearing your knwledge because knowledge is freedoom

  • @mehirbanda7156
    @mehirbanda7156 7 лет назад

    you the best teacher i have ever come across online . you are so smart

  • @QuinnSeward-p2u
    @QuinnSeward-p2u 10 месяцев назад

    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 месяцев назад

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

  • @injusticegods_yt2617
    @injusticegods_yt2617 11 дней назад

    Amazing, My calc professor is horrible at his job. You should make a video to “HOW TO TEACH A STUDENT” and I’ll share it with my professor 😂❤

  • @marvinsimukonda8049
    @marvinsimukonda8049 2 года назад

    This guy is a life saver 🙏🏾

  • @wildlifeadventuregirl
    @wildlifeadventuregirl 4 года назад +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 года назад +1

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

  • @danjumaameh1601
    @danjumaameh1601 5 лет назад

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

  • @md.akibhasan5633
    @md.akibhasan5633 8 лет назад +2

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

  • @rami5155
    @rami5155 6 лет назад +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 лет назад +1

      no youre right, i think he just made a mistake

    • @misutokiriya6547
      @misutokiriya6547 4 года назад +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]

  • @riteshkumar-xn9kj
    @riteshkumar-xn9kj 5 месяцев назад

    I am a normal student,I see this dude's video,I like

  • @danjumaameh1601
    @danjumaameh1601 5 лет назад +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 года назад +1

      Bruh he corrected it in the video itself.

  • @jrivas8112
    @jrivas8112 5 лет назад

    Wow your explanation was very clear. Like

  • @nyomimorris6364
    @nyomimorris6364 2 года назад +1

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

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 лет назад

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

  • @mr.9754
    @mr.9754 4 года назад

    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.)

  • @kabeerjamal9518
    @kabeerjamal9518 2 года назад

    This was really helpful, Thanks a lot.

  • @doricejustine8342
    @doricejustine8342 4 года назад

    Best teacher ever thank uuu so much

  • @SM-qn7sr
    @SM-qn7sr 2 года назад

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

  • @hopecritical-ops5554
    @hopecritical-ops5554 Год назад

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

  • @MA6manalac
    @MA6manalac 5 лет назад +1

    Cursseeee you, that tutor guyyyyyyyy!!!!!!!!!

  • @honardocaliboso4765
    @honardocaliboso4765 4 года назад +1

    In 27:55 it's super complicated.

  • @freezingwind3967
    @freezingwind3967 5 лет назад +1

    thank you so much

  • @jemenztv3297
    @jemenztv3297 Год назад

    Very helpful,thanks ❤

  • @Zenbeau
    @Zenbeau 4 года назад

    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?

  • @improvementology4011
    @improvementology4011 Год назад +1

    44:30

  • @saadalikhan494
    @saadalikhan494 3 года назад

    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

  • @vaga8bnd
    @vaga8bnd 3 года назад

    Very useful. Thank you sir.

  • @notomatoesx
    @notomatoesx 5 лет назад

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

  • @magnus4537
    @magnus4537 Год назад

    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?

  • @Phyto.
    @Phyto. 6 лет назад

    Excellent, as always.

  • @StonesVoulaguealiyaini
    @StonesVoulaguealiyaini 5 лет назад

    All I could say is thank you very much.

  • @naledibosigo3257
    @naledibosigo3257 3 года назад

    Thank you so much for everything 💕

  • @vctoriaotumdi9991
    @vctoriaotumdi9991 4 года назад +1

    Thank you

  • @XxRespawNxX619
    @XxRespawNxX619 8 месяцев назад

    Thank you !

  • @rickybobby5584
    @rickybobby5584 6 лет назад

    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 года назад

      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)

  • @phyoeminnkyaw9551
    @phyoeminnkyaw9551 11 месяцев назад +1

    thank u

  • @Inktron
    @Inktron Год назад

    This video has saved me in my darkest hour

  • @samadkamran5303
    @samadkamran5303 5 лет назад

    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-

  • @austenwilliams3259
    @austenwilliams3259 2 года назад

    youre the best!

  • @mazensooud3539
    @mazensooud3539 4 года назад

    Thank you very much👌👍

  • @heckrus.....gaming5099
    @heckrus.....gaming5099 Год назад

    Thanks 👍

  • @realAgitated
    @realAgitated 6 лет назад +1

    thank you chief

  • @adityawankhede7260
    @adityawankhede7260 2 года назад

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

  • @praneethpottimuthi457
    @praneethpottimuthi457 5 лет назад

    Very helpful

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 лет назад

    you are amazing

  • @user-ew5vj1sl1u
    @user-ew5vj1sl1u 2 года назад +1

    57:50

  • @rijiii_
    @rijiii_ 2 года назад +1

    I like your voice...

  • @emkayvevo4950
    @emkayvevo4950 7 лет назад +1

    Please, do you have to find the X and Y intercepts to draw the graph with accuracy? If so, then how do I find my X_intercept for 2x^4 - 2x^2 - 1=0? Thank you

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  7 лет назад +6

      It doesn't look factorable. You can use the quadratic formula where a = 2, b = -2, and c =-1. The result that you get will equal x^2 and not x so you will have to take the square root of that result to get the final answer. You can also graph it using an online graphing calculator and find where it touches the x axis. Go to google and type in 'online graphing calculator' and the choose the first link that comes up which is desmos.com. Type in the expression "2x^4-2x^2-1" without the =0 part and you should see the graph. Move the mouse to the point where the graph touches the x - axis and you should see the answer. x = +1.169 and -1.169. I hope that helps :)

    • @emkayvevo4950
      @emkayvevo4950 7 лет назад +1

      Thank you.

  • @rosishkatuwal5677
    @rosishkatuwal5677 5 лет назад

    Great video....👍👍👍

  • @mirzamaisha9719
    @mirzamaisha9719 5 лет назад +21

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

    • @jimhalpert9803
      @jimhalpert9803 4 года назад +2

      Dislikers are probably the rival educational youtubers lol

    • @ghhjjhjjjhujjvfhm7962
      @ghhjjhjjjhujjvfhm7962 3 года назад

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

  • @3B-OD
    @3B-OD 10 месяцев назад

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

  • @sebastiangiray3614
    @sebastiangiray3614 4 года назад

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

  • @doyoarero5599
    @doyoarero5599 4 года назад

    Thanks sir big salute!

  • @ratimshariar102
    @ratimshariar102 2 года назад

    what will we do when we have modulus function

  • @RiusII401
    @RiusII401 4 года назад +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!

  • @nicholasmaloof8378
    @nicholasmaloof8378 5 лет назад +5

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

  • @name12nolastname56
    @name12nolastname56 6 лет назад

    Thank You!

  • @christanellylaboga8279
    @christanellylaboga8279 5 лет назад +1

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

  • @ingoingason6680
    @ingoingason6680 7 лет назад +4

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

  • @krotone9484
    @krotone9484 6 лет назад

    what program do you use to do the video?

  • @amitberwal3673
    @amitberwal3673 7 лет назад +1

    Thanx

  • @suga_tofu
    @suga_tofu 3 года назад

    Does absolute max/min mean global max/min?

  • @SummerConquera
    @SummerConquera 4 месяца назад

    Thankyouuuuu🥺❤️

  • @MostafaMahmoud-tw7xi
    @MostafaMahmoud-tw7xi Год назад

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

  • @MohammedAhmed-ut1mr
    @MohammedAhmed-ut1mr 2 года назад

    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

  • @blenkal5373
    @blenkal5373 5 лет назад

    Seriously I Thank u.

  • @Shwoompy
    @Shwoompy 6 лет назад

    THANK U BROTHA

  • @eddie6167
    @eddie6167 4 года назад +1

    Physics C E&M Playlist?

  • @MaurickSh
    @MaurickSh 4 года назад

    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 года назад

      that isnt how order of operation works....

  • @nisarali1954
    @nisarali1954 7 лет назад

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

  • @clarawhelan5717
    @clarawhelan5717 3 года назад +1

    i love you

  • @ARTDEVGRU247
    @ARTDEVGRU247 2 года назад +2

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

  • @xxpirategamingxx7994
    @xxpirategamingxx7994 5 лет назад

    God bless you

  • @thabisombingo6269
    @thabisombingo6269 Год назад

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

  • @kalin5518
    @kalin5518 8 месяцев назад

    33:55

  • @bucketheadred2287
    @bucketheadred2287 4 года назад

    31:08

  • @yangatrades
    @yangatrades 5 лет назад

    How can we repay you

  • @kurtseiffert8392
    @kurtseiffert8392 5 лет назад +2

    I feel like I should be paying him