Finding Local Maximum and Minimum Values of a Function - Relative Extrema

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  • เผยแพร่เมื่อ 30 พ.ย. 2024

ความคิดเห็น • 193

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +12

    Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
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    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: th-cam.com/video/3wrXDw5ETh4/w-d-xo.html

  • @edgarmoreno2062
    @edgarmoreno2062 4 ปีที่แล้ว +1004

    my calc class got moved online bc of corona. this channel is literally my teacher. how did people ever learn math from a book?

    • @MautiseBoswell102
      @MautiseBoswell102 4 ปีที่แล้ว +29

      Edgar Moreno same here honestly I should’ve watch this guy sooner

    • @Justinraul1
      @Justinraul1 4 ปีที่แล้ว +4

      Word

    • @jksandilya
      @jksandilya 4 ปีที่แล้ว +98

      You've got a very bad philosophy towards Calculus. One might not "learn math from a book" because you are not interested at the subject! Never insult books! They are like people. You treat them properly they reward you! Doing the opposite would make you suffer!
      Anyway,
      Keep studying
      Jksandilya

    • @reema6719
      @reema6719 4 ปีที่แล้ว +29

      Math is supposed to be taught not just said out loud

    • @enumohammed1501
      @enumohammed1501 3 ปีที่แล้ว +3

      Hhh our maths book is the best

  • @MsLeipzigerin
    @MsLeipzigerin 4 ปีที่แล้ว +168

    Already in the first 25 seconds you could teach me something that my teacher was unable to. Thank you.

  • @reamabdulsalam524
    @reamabdulsalam524 ปีที่แล้ว +22

    Hello you know I have spent a whole year in the university understanding the local maxima and local minima and I always fail !!!! Really I don’t know how to thank you ,I have exam after few days and you have ease my life !? You are amazing and great and the best tutor in this whole world please keep up and also post videos on statistic this channel has to get a golden reward

  • @juliaj3239
    @juliaj3239 5 ปีที่แล้ว +31

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      @donshin6717 3 ปีที่แล้ว +2

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    • @turtlesquad2522
      @turtlesquad2522 3 ปีที่แล้ว +1

      he sounds like my friend off xbox so it's kinda strange but i agree

  • @ednakirkland1706
    @ednakirkland1706 6 ปีที่แล้ว +191

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  • @AshetuNegasa
    @AshetuNegasa 10 หลายเดือนก่อน +4

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    • @Helinakassahun
      @Helinakassahun 18 วันที่ผ่านมา +1

      Same here from Ethiopia

  • @AnimalSyndicate
    @AnimalSyndicate ปีที่แล้ว +10

    By far the best video out there: quick, simple, straight-to-the-point. It helped me greatly! Thank you!

  • @SentinelWatch
    @SentinelWatch 4 ปีที่แล้ว +27

    Man, God bless you. You are doing really good thing!
    Teaching is the biggest charity...

  • @georgesadler7830
    @georgesadler7830 ปีที่แล้ว +2

    Professor Organic Chemistry Tutor, thank you for a solid analysis and a step-by-step explanation of Finding the Relative Extrema/Max/Min Values in Calculus. This is an error free video/lecture on TH-cam TV with the Organic Chemistry Tutor.

  • @wailim0506
    @wailim0506 3 ปีที่แล้ว +7

    Thank for you video! The lecture notes use many many words to explain this concept that made me confuse about it, while you use some simple examples to explain it clearly!!

  • @mintyee8857
    @mintyee8857 4 ปีที่แล้ว +10

    Usually videos don't help me much but this one did holy fuck. This man is a god

  • @abdelljones6233
    @abdelljones6233 3 ปีที่แล้ว +21

    You are a legend u saved my life I passed an exam with less than 2 weeks preparation watching ur videos ☺️

    • @erubohinaus
      @erubohinaus 2 ปีที่แล้ว +4

      Me the day before the exam:

    • @BilalYasin-qb2vq
      @BilalYasin-qb2vq หลายเดือนก่อน

      @@erubohinaus me some hours before exam

  • @shamineywalsh-dupuis6520
    @shamineywalsh-dupuis6520 4 ปีที่แล้ว +5

    I love you so much. You are my Calculus tutor. Thank you for all your help

  • @lloydbenablo4001
    @lloydbenablo4001 5 ปีที่แล้ว +20

    started watching this since my finals for basic calculus is tomorrow

  • @user-dw5gr6js3d
    @user-dw5gr6js3d 5 ปีที่แล้ว +85

    "decreasin' and increasin'"

    • @9xlives901
      @9xlives901 4 ปีที่แล้ว +3

      LMAOOOOO i love how he repeats it

    • @gigachad7030
      @gigachad7030 4 ปีที่แล้ว

      stop copying people's comments lmao

    • @user-dw5gr6js3d
      @user-dw5gr6js3d 4 ปีที่แล้ว +13

      @@gigachad7030 wut? people can have the same reaction to something. It's not that deep. Plus it's something he says in the vid.

  • @ayeikareviews6127
    @ayeikareviews6127 2 ปีที่แล้ว

    Im no longer even going to watch my teachers videos im coming directly to your videos.

  • @lokeshwarsaravana3576
    @lokeshwarsaravana3576 6 ปีที่แล้ว +16

    i thought it was difficult but he makes it simple

  • @theBejourn
    @theBejourn 6 ปีที่แล้ว +40

    Thank you this was very helpful and well explained.

  • @YusufIbrahim-n1d
    @YusufIbrahim-n1d 11 หลายเดือนก่อน +3

    Great work man. I wish I'd be able to attend a class of yours someday

  • @shaemaa12
    @shaemaa12 6 ปีที่แล้ว +14

    I literally was suffering from this. thanks

  • @elmafatima3454
    @elmafatima3454 5 ปีที่แล้ว +7

    This video was actually really helpful

  • @AustinWatkins-p5e
    @AustinWatkins-p5e ปีที่แล้ว

    you are always the biggest help when studying for exams

  • @IamKudos
    @IamKudos 4 ปีที่แล้ว +26

    But in the last example, if we plug in f(2), we get y=16, so we do get a coordinate (2,16) and that could've been the relative maximum point if we used functions to do so. But theoretically we can see that it doesn't have a relative maximum point. How do we explain that with the functions method if we are asked to show our work?

    • @aeb4865
      @aeb4865 11 หลายเดือนก่อน +1

      I know you probably got it by now but commenting for future people, as far as I could understand it’s because it’s a double root so if you were to graph the derivative it’d look like a parabola shaping upwards. That point is a point of inflection rather than a critical point where the second derivative changes signs, changing the concavity of the function

  • @lukeskinner7900
    @lukeskinner7900 2 ปีที่แล้ว +1

    you are goated and taking me through an entire unit. thank you

  • @JamesBrodski
    @JamesBrodski 4 ปีที่แล้ว +11

    Great video! Thank you so much for making it. You're awesome.

  • @caryfbaby
    @caryfbaby 5 ปีที่แล้ว +165

    can you do a video revealing your face

    • @rukhsanazaidi629
      @rukhsanazaidi629 5 ปีที่แล้ว +12

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    • @nekobananas7359
      @nekobananas7359 5 ปีที่แล้ว +5

      HAHAHAHAH, but I'm good with this one

    • @SkillUpMobileGaming
      @SkillUpMobileGaming 5 ปีที่แล้ว +51

      I understand why you're asking (curiosity), but really think for a moment - how would showing his face be beneficial to him at all? None of his videos are about him, they are about math. Also, why would it matter what his face looks like? It shouldn't matter what he looks like. To be honest, the only reason anyone would want to see him do a "face reveal" is due to curiosity. Let's be real here: that's not a good enough reason for him to do it. There just isn't a good case for it. It's pointless.

    • @renesteegers9858
      @renesteegers9858 5 ปีที่แล้ว +9

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      @Jose-wd6kn 5 ปีที่แล้ว +7

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  • @kelvinmanyara1097
    @kelvinmanyara1097 3 ปีที่แล้ว

    from anhui university... this lecture is really helpful during this rapand corona wave...................................................................................................

  • @RagingBull721
    @RagingBull721 2 ปีที่แล้ว +2

    This guy teaches better than my professor, my professor should get fired

  • @abigailhudson3437
    @abigailhudson3437 2 ปีที่แล้ว +3

    i learned more in 14 minutes than in my hour and 20 minute class.

  • @ophax3552
    @ophax3552 ปีที่แล้ว

    learned how to do in literally 2 min of video, thx

  • @peebeeaguirre5858
    @peebeeaguirre5858 4 ปีที่แล้ว +2

    vro thank you so much you lterally save me from mental breakdowns

  • @MohammedHaress-hw7bd
    @MohammedHaress-hw7bd 5 หลายเดือนก่อน

    Sir, you literally saved my life

  • @tomseinfeld7124
    @tomseinfeld7124 5 ปีที่แล้ว

    You explained it better than the teachers at the university

  • @relardztv605
    @relardztv605 2 ปีที่แล้ว

    Super amizing good because of your vlog tutorial I got some knowledge from you

  • @Kuwkay
    @Kuwkay 4 ปีที่แล้ว +13

    when he's doing your exact problem

  • @Tp88766
    @Tp88766 3 ปีที่แล้ว +2

    You're a hero

  • @Trident_Gaming03
    @Trident_Gaming03 26 วันที่ผ่านมา

    Wait, this is so much easier than I thought

  • @BridgetMafane-px9vg
    @BridgetMafane-px9vg 7 หลายเดือนก่อน

    you are a great teacher sir

  • @rajmangalpandey3910
    @rajmangalpandey3910 4 ปีที่แล้ว +1

    I got same question in my online test. Thanks.

  • @asmarterself2906
    @asmarterself2906 6 ปีที่แล้ว +10

    The description is inaccurate: where you say "f the sign changes from - to +, it's a relative maximum." should be minimum instead of maximum; same goes for + to -, for a relative maximum.

  • @kekelifarcor7598
    @kekelifarcor7598 5 หลายเดือนก่อน +1

    It's like you know my syllabus

    • @smokyvibes
      @smokyvibes 3 หลายเดือนก่อน

      lmaoo

  • @derinsider3438
    @derinsider3438 4 ปีที่แล้ว +1

    You are genius!!!

  • @jennifer_3683
    @jennifer_3683 ปีที่แล้ว

    You are an angel!

  • @G_k_shah
    @G_k_shah 18 วันที่ผ่านมา

    Thank you for clear explaination :)

  • @afsaanjum5120
    @afsaanjum5120 2 ปีที่แล้ว

    It's really a good explanation

  • @ahmedmuzammilkhan8791
    @ahmedmuzammilkhan8791 2 ปีที่แล้ว

    i love ur method sirrrr love u alot

  • @sumedhahaha
    @sumedhahaha 6 ปีที่แล้ว +7

    he is awesome!! 😍

  • @Andrew-kl1pl
    @Andrew-kl1pl 3 ปีที่แล้ว

    I think I’m ready for tomorrow’s quiz now

  • @Narutodattebayo44
    @Narutodattebayo44 3 ปีที่แล้ว +2

    Thank you sir😭

  • @RandomBitzzz
    @RandomBitzzz 3 ปีที่แล้ว +1

    @4:43 We find out this guy is human :-) In all seriousness, your videos are super helpful. Thanks!!

  • @ayushmishra1754
    @ayushmishra1754 6 ปีที่แล้ว +3

    Nice sir I can understand

  • @ELaMan-oo6pg
    @ELaMan-oo6pg ปีที่แล้ว

    f(×)=ײ-2×+1/×-2 find local extreme value and interval of monotoncity

  • @gugaapkhazava7453
    @gugaapkhazava7453 4 ปีที่แล้ว +1

    really helpfull

  • @wahidnoori2259
    @wahidnoori2259 6 ปีที่แล้ว +2

    Thank you! very helpful.

  • @aaraizashraf8736
    @aaraizashraf8736 ปีที่แล้ว +1

    i love you

  • @yungcraftgod6725
    @yungcraftgod6725 ปีที่แล้ว

    the second example is literally the hw question I was stuck on lmao

  • @Sude-ch2dv
    @Sude-ch2dv 4 หลายเดือนก่อน

    hocam tesekurler sayenizde calculus alla oldum

  • @ElifArslan-l9g
    @ElifArslan-l9g 4 ปีที่แล้ว

    thank you my king

  • @missrosie2333
    @missrosie2333 5 ปีที่แล้ว +1

    You are AMAZING

  • @jacobfalk4827
    @jacobfalk4827 4 ปีที่แล้ว +1

    Great video but what about trig fnc's?

  • @adveshdarvekar7733
    @adveshdarvekar7733 2 ปีที่แล้ว

    We pay thousands of dollars to a university to finally learn from youtube.

  • @ElifArslan-l9g
    @ElifArslan-l9g 4 ปีที่แล้ว +1

    At the same time i am learning math and my ears are resting

  • @St.Hallow
    @St.Hallow 5 ปีที่แล้ว +1

    I LOVE YOU!

  • @felistus3439
    @felistus3439 2 ปีที่แล้ว

    when finding the y value, on the first one we used the f(x)' then substituted the x values......but why did we use f(x) on the second example instead of f(x)' again?

  • @husbant6043
    @husbant6043 ปีที่แล้ว

    thank you

  • @hararybeast8650
    @hararybeast8650 ปีที่แล้ว

    for the f(x) 3x^4-16x^3+24x^2 I don't understand why the critical number couldn't just stay x=2 why do we have to solve for 12x=0 when we didn't in the other problems. I dont know if this is a stupid question I just think I might be over think it, can anyone help me?

  • @ana86_
    @ana86_ 5 ปีที่แล้ว +1

    If x=0, then f(x) =x³ will be ?

  • @emki943
    @emki943 23 วันที่ผ่านมา

    i love you man

  • @Jorcinus_Jorca
    @Jorcinus_Jorca 2 ปีที่แล้ว

    How would we write our answers if the given function is rational with asymptotes in its graph?

  • @RajeshGupta-gg6io
    @RajeshGupta-gg6io 10 หลายเดือนก่อน

    He plugged 1 and -1 for the last example, wouldn't they both be positive? as -1-3 = -4 and you square that which is positive cause he did the same for 1 when he did 1-3 = -2 but he then squared it which would make it positive.

  • @argelnovo3120
    @argelnovo3120 ปีที่แล้ว

    i have a question why did 6x^2 gcf is 6 while 12x^3 gcf is 12 with a variable x

  • @muskanverma9301
    @muskanverma9301 8 หลายเดือนก่อน

    Thank you man. Really.

  • @abdulazizfahim2140
    @abdulazizfahim2140 3 ปีที่แล้ว

    Thank you!

  • @sammymwania5502
    @sammymwania5502 ปีที่แล้ว

    Hello how do we find maxima and minima of trigonometric functions for example what is the minima and maxima of the following function y=sin(x³/3- x²/2-2x+1) this is really enormous problem to me

  • @yungifez
    @yungifez 2 ปีที่แล้ว +1

    The multiplicity stuff is confusing

  • @ableballon8
    @ableballon8 3 ปีที่แล้ว

    Thanks a lot

  • @logine1620
    @logine1620 6 ปีที่แล้ว +1

    very helpful

  • @webworld5109
    @webworld5109 2 ปีที่แล้ว

    thanks a lot❤️

  • @omarfish8940
    @omarfish8940 2 ปีที่แล้ว

    13:30 how would we determine which is the shape of the curve?
    I'm currently thinking that it might be taking the 2nd derivative of a function and seeing how the shape of the function changes from that point. Would that be it or am I completely off?

  • @لواءحربالقافلة
    @لواءحربالقافلة 4 หลายเดือนก่อน

    Allah bless you & your family.

  • @angkolsam1223
    @angkolsam1223 2 หลายเดือนก่อน

    Is there a sample problem for maxima and minima for area?

  • @ybecca8089
    @ybecca8089 5 ปีที่แล้ว +1

    So fucking clear than my professor teach!!

  • @funnyallcare604
    @funnyallcare604 3 ปีที่แล้ว +1

    Please reveal ur face...so that i could give you a super big hug if we ever meet by a chance💛

  • @dramascenes9404
    @dramascenes9404 4 ปีที่แล้ว +1

    Thank u sir

  • @supermax5000
    @supermax5000 3 ปีที่แล้ว

    What about trigonometric functions?

  • @BenShMotoJIE
    @BenShMotoJIE 4 ปีที่แล้ว

    Nice video

  • @kimi1974
    @kimi1974 5 ปีที่แล้ว

    Thx you so much

  • @sumedhian_jasleen8841
    @sumedhian_jasleen8841 2 ปีที่แล้ว

    Thanku sir ✨🙂

  • @marcusly7808
    @marcusly7808 ปีที่แล้ว

    MY HERO

  • @nohackers2037
    @nohackers2037 5 ปีที่แล้ว

    Can you do it in reverse? Have 2 local max and min (eg 4, 8 and -1,-2)
    I tried. x=4 x-4 x= -1 x+1
    x(x-1)+4(x-1)
    x^2 -3x -4
    3(x^2) -(3)(3x) -3(4)
    3x^2 -9x -12
    6x -9
    6(4) -9 is minimum (which shouldn't so...)
    Or
    -x = -4 -x +4 -x = 1 -x-1
    -x(-x-1)+4(-x-1)
    -x^2 +3x +4
    -3(x^2) +9x +12
    -x^3 +4.5x^2 +12x +- c
    -4^3 + 4.5(4)^2 + 12(4) +- c = 9
    -(-1)^3 + 4.5(-1)^2 + 12(-1) +- c = -2
    C = 47
    C = -4.5 WHAT DID I DO WRONG?

    • @elite7585
      @elite7585 2 ปีที่แล้ว

      i wish i could help u but i've no idea

  • @zomb4045
    @zomb4045 3 ปีที่แล้ว +1

    who came here for there modules thats damn hard

  • @notduy7391
    @notduy7391 5 ปีที่แล้ว +1

    What is a derivative

  • @astro_nic
    @astro_nic 2 ปีที่แล้ว

    tnx

  • @AndreinaMikaele
    @AndreinaMikaele ปีที่แล้ว

    muy bueno friend

  • @jbalvin8318
    @jbalvin8318 6 ปีที่แล้ว

    On 4:00 how do you find the derivative of that number 2X^3

    • @wahidnoori2259
      @wahidnoori2259 6 ปีที่แล้ว

      3*2x^2=6x^2

    • @alimahmoud7082
      @alimahmoud7082 5 ปีที่แล้ว

      The power goes down then do a [ - 1] from the power so it will be (2) so it will be 3 × 2×*2 then it will be 6×*2

  • @haiderdurrani406
    @haiderdurrani406 ปีที่แล้ว

    Good

  • @abhishekshirke5171
    @abhishekshirke5171 4 ปีที่แล้ว

    Thnx sir

  • @draygerard4550
    @draygerard4550 6 ปีที่แล้ว

    thanks :)

  • @princeandreicastroverde1314
    @princeandreicastroverde1314 3 ปีที่แล้ว

    2:41 a happy winky face
    Now I can't concentrate