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

แชร์
ฝัง
  • เผยแพร่เมื่อ 28 พ.ย. 2024

ความคิดเห็น • 154

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 หลายเดือนก่อน

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

  • @isaacliu._.6899
    @isaacliu._.6899 3 ปีที่แล้ว +48

    2.71 million subs aren't enough...I passed both AP and honors chemistry, Algebra 1,2 and 3 enhanced, and AP calculus just by watching your videos. Not to mention, I also show the Investment Club I lead your investment and stock videos as well. Thank you so much, God Bless.

    • @cubit404
      @cubit404 ปีที่แล้ว +1

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

    • @jnb3451
      @jnb3451 ปีที่แล้ว +2

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

    • @3rdDegree_
      @3rdDegree_ 11 หลายเดือนก่อน

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

  • @safaali1250
    @safaali1250 7 ปีที่แล้ว +90

    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

  • @powerToYourself36
    @powerToYourself36 6 ปีที่แล้ว +84

    This guy is mysterious, but a god at what he does. Who is you? Mr The organic chemistry.

    • @powerToYourself36
      @powerToYourself36 4 ปีที่แล้ว +4

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

    • @powerToYourself36
      @powerToYourself36 4 ปีที่แล้ว +1

      @Arc10 lol

    • @christiancardenas3261
      @christiancardenas3261 4 ปีที่แล้ว

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

    • @powerToYourself36
      @powerToYourself36 4 ปีที่แล้ว +4

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

    • @incel007
      @incel007 3 ปีที่แล้ว

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

  • @oliviawickett2732
    @oliviawickett2732 4 ปีที่แล้ว +35

    Just wanted to say thank you, you are a serious life savor. I usually use your videos as a brush up on what we learned in class, bc I suck at math, and now with online classes and the whole pandemic, I have found myself even more confused and I feel lucky that I knew where to turn too (bc our school has bad tutors too). Thank you so much for your videos!

  • @raptorravioli662
    @raptorravioli662 2 ปีที่แล้ว +7

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

  • @mingjiejujason9073
    @mingjiejujason9073 5 ปีที่แล้ว +9

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

  • @Mikss-i2c
    @Mikss-i2c 4 ปีที่แล้ว +8

    Much Love from Africa,you are really helpful sir.

  • @m.amirulhakim7406
    @m.amirulhakim7406 4 ปีที่แล้ว +143

    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”

  • @notevennelson
    @notevennelson 6 ปีที่แล้ว +3

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

  • @gabrielaquesada-mendez356
    @gabrielaquesada-mendez356 7 ปีที่แล้ว +3

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

  • @dinab8088
    @dinab8088 7 ปีที่แล้ว +23

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

  • @fritz4468
    @fritz4468 2 ปีที่แล้ว +2

    This guy's videos helped tons of people!

  • @ronalds271
    @ronalds271 5 ปีที่แล้ว +5

    You are the best teacher - best on TH-cam. 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.

  • @biakmuantonsing381
    @biakmuantonsing381 3 ปีที่แล้ว +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..

  • @hunterzolomon3507
    @hunterzolomon3507 7 ปีที่แล้ว +5

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

  • @hadeerrashad5486
    @hadeerrashad5486 7 ปีที่แล้ว +5

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

  • @Zenbeau
    @Zenbeau 4 ปีที่แล้ว +5

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

  • @Islamicreminder2006
    @Islamicreminder2006 ปีที่แล้ว

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

  • @mehirbanda7156
    @mehirbanda7156 7 ปีที่แล้ว

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

  • @johnguillen68
    @johnguillen68 7 ปีที่แล้ว +10

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

  • @riteshkumar-xn9kj
    @riteshkumar-xn9kj 6 หลายเดือนก่อน

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

  • @phenomenon7030
    @phenomenon7030 5 ปีที่แล้ว +12

    that is a historical moment 36:45

  • @anber4129
    @anber4129 6 ปีที่แล้ว +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! 😎

  • @jeremiaskorach
    @jeremiaskorach 7 ปีที่แล้ว +4

    SUPER CLEAR! I LOVE THIS!
    please, keep up with the videos you are a life saver!

  • @marvinsimukonda8049
    @marvinsimukonda8049 2 ปีที่แล้ว

    This guy is a life saver 🙏🏾

  • @injusticegods_yt2617
    @injusticegods_yt2617 หลายเดือนก่อน

    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 😂❤

  • @luigidegregorio5153
    @luigidegregorio5153 3 ปีที่แล้ว

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

  • @danjumaameh1601
    @danjumaameh1601 5 ปีที่แล้ว

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

  • @QuinnSeward-p2u
    @QuinnSeward-p2u 11 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 11 หลายเดือนก่อน

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

  • @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.)

  • @MA6manalac
    @MA6manalac 5 ปีที่แล้ว +1

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

  • @StonesVoulaguealiyaini
    @StonesVoulaguealiyaini 5 ปีที่แล้ว

    All I could say is thank you very much.

  • @Inktron
    @Inktron ปีที่แล้ว

    This video has saved me in my darkest hour

  • @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.

  • @honardocaliboso4765
    @honardocaliboso4765 4 ปีที่แล้ว +1

    In 27:55 it's super complicated.

  • @kabeerjamal9518
    @kabeerjamal9518 2 ปีที่แล้ว

    This was really helpful, Thanks a lot.

  • @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?

  • @rijiii_
    @rijiii_ 2 ปีที่แล้ว +1

    I like your voice...

  • @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]

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 ปีที่แล้ว

    you are amazing

  • @notomatoesx
    @notomatoesx 6 ปีที่แล้ว

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

  • @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

  • @hopecritical-ops5554
    @hopecritical-ops5554 ปีที่แล้ว

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

  • @SoniaAnastasiaaa
    @SoniaAnastasiaaa 6 ปีที่แล้ว

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

  • @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?

  • @naledibosigo3257
    @naledibosigo3257 3 ปีที่แล้ว

    Thank you so much for everything 💕

  • @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?

  • @vaga8bnd
    @vaga8bnd 3 ปีที่แล้ว

    Very useful. Thank you sir.

  • @jemenztv3297
    @jemenztv3297 ปีที่แล้ว

    Very helpful,thanks ❤

  • @phyoeminnkyaw9551
    @phyoeminnkyaw9551 ปีที่แล้ว +1

    thank u

  • @Phyto.
    @Phyto. 6 ปีที่แล้ว

    Excellent, as always.

  • @vctoriaotumdi9991
    @vctoriaotumdi9991 5 ปีที่แล้ว +1

    Thank you

  • @realAgitated
    @realAgitated 6 ปีที่แล้ว +1

    thank you chief

  • @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

  • @austenwilliams3259
    @austenwilliams3259 2 ปีที่แล้ว

    youre the best!

  • @ARTDEVGRU247
    @ARTDEVGRU247 2 ปีที่แล้ว +2

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

  • @XxRespawNxX619
    @XxRespawNxX619 9 หลายเดือนก่อน

    Thank you !

  • @mazensooud3539
    @mazensooud3539 4 ปีที่แล้ว

    Thank you very much👌👍

  • @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

  • @improvementology4011
    @improvementology4011 ปีที่แล้ว +1

    44:30

  • @praneethpottimuthi457
    @praneethpottimuthi457 5 ปีที่แล้ว

    Very helpful

  • @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!

  • @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-

  • @rosishkatuwal5677
    @rosishkatuwal5677 5 ปีที่แล้ว

    Great video....👍👍👍

  • @doyoarero5599
    @doyoarero5599 5 ปีที่แล้ว

    Thanks sir big salute!

  • @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?

  • @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

  • @ratimshariar102
    @ratimshariar102 2 ปีที่แล้ว

    what will we do when we have modulus function

  • @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)

  • @Mostafaadelahmed-my4rn
    @Mostafaadelahmed-my4rn 7 ปีที่แล้ว

    Thank you so much

  • @name12nolastname56
    @name12nolastname56 6 ปีที่แล้ว

    Thank You!

  • @adityawankhede7260
    @adityawankhede7260 2 ปีที่แล้ว

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

  • @Chrisymcmb
    @Chrisymcmb 3 ปีที่แล้ว

    Thanks G

  • @blenkal5373
    @blenkal5373 5 ปีที่แล้ว

    Seriously I Thank u.

  • @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 ?

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

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

  • @Shwoompy
    @Shwoompy 7 ปีที่แล้ว

    THANK U BROTHA

  • @amitberwal3673
    @amitberwal3673 7 ปีที่แล้ว +1

    Thanx

  • @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"

  • @baranisik4435
    @baranisik4435 2 ชั่วโมงที่ผ่านมา

    43:50 why (-2, 15) isn't local max

  • @suga_tofu
    @suga_tofu 4 ปีที่แล้ว

    Does absolute max/min mean global max/min?

  • @emkayvevo4950
    @emkayvevo4950 7 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +1

      Thank you.

  • @christanellylaboga8279
    @christanellylaboga8279 6 ปีที่แล้ว +1

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

  • @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....

  • @xxpirategamingxx7994
    @xxpirategamingxx7994 6 ปีที่แล้ว

    God bless you

  • @eddie6167
    @eddie6167 4 ปีที่แล้ว +1

    Physics C E&M Playlist?

  • @clarawhelan5717
    @clarawhelan5717 3 ปีที่แล้ว +1

    i love you

  • @nisarali1954
    @nisarali1954 7 ปีที่แล้ว

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

  • @thabisombingo6269
    @thabisombingo6269 ปีที่แล้ว

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

  • @krotone9484
    @krotone9484 6 ปีที่แล้ว

    what program do you use to do the video?

  • @MohammedAhmed-ut1mr
    @MohammedAhmed-ut1mr 3 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

  • @Altafkhan-ui2yd
    @Altafkhan-ui2yd 2 ปีที่แล้ว

    more knowlege in short time😱

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

    57:50

  • @SummerConquera
    @SummerConquera 5 หลายเดือนก่อน

    Thankyouuuuu🥺❤️

  • @kurtseiffert8392
    @kurtseiffert8392 6 ปีที่แล้ว +2

    I feel like I should be paying him