Finding Critical Numbers

This calculus video tutorial explains how to find the critical numbers of a function. These include trig functions, absolute value functions, rational functions, fractions, square roots and more. To find the critical number, find the first derivative of the function, set it equal to zero, and solve for x. If you have a fraction as a derivative, set the numerator and denominator of the fraction equal to zero and solve. Critical numbers occur when f'(c) = 0 or when f'(c) does not exist as in the case of a cusp. This calculus video contains plenty of examples and practice problems.
Introduction to Limits:
• Calculus 1 - Introduct...
Derivatives - Fast Review:
• Calculus 1 - Derivatives
Introduction to Related Rates:
• Introduction to Relate...
_____________________________
Extreme Value Theorem:
• Extreme Value Theorem
Finding Critical Numbers:
• Finding Critical Numbers
Local Maximum & Minimum:
• Finding Local Maximum ...
Absolute Extrema:
• Finding Absolute Maxim...
Rolle's Theorem:
• Rolle's Theorem
________________________________
Mean Value Theorem:
• Mean Value Theorem
Increasing and Decreasing Functions:
• Increasing and Decreas...
First Derivative Test:
• First Derivative Test
Concavity & Inflection Points:
• Concavity, Inflection ...
Second Derivative Test:
• Second Derivative Test
_________________________________
L'Hopital's Rule:
• L'hopital's rule
Curve Sketching With Derivatives:
• Curve Sketching - Grap...
Newton's Method:
• Newton's Method
Optimization Problems:
• Optimization Problems ...
_______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 152

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Next Video: kzread.info/dash/bejne/iXelldWLqtawltY.html Final Exams and Video Playlists: www.video-tutor.net/

  • @jeffreyshort4427

    @jeffreyshort4427

    Жыл бұрын

    How did u get 0=x+1

  • @abdoulazizdabo9064
    @abdoulazizdabo90642 жыл бұрын

    He is dominating KZread right now. I think what make him great is that he is not trying to show that he well master the material, he just being a genuine teacher, really wants his students to understand.

  • @tis_i_sana

    @tis_i_sana

    2 жыл бұрын

    This is very true!

  • @ajlewandowski3060
    @ajlewandowski30603 жыл бұрын

    You are the only thing keeping me from failing my calc class

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    @JuanLopez-nx5dy

    3 жыл бұрын

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    @ajlewandowski3060

    3 жыл бұрын

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  • @mrw5258

    @mrw5258

    3 жыл бұрын

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    @voodooblue6162

    3 жыл бұрын

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    @mrw5258

    3 жыл бұрын

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    @ndinomaanoimmanuel30655 жыл бұрын

    may god bless you....you are making my university life so easy.....

  • @zaidghaben4943
    @zaidghaben49433 жыл бұрын

    Ive made it to Calc 3 watching your videos, thank you so much. This is my last math class.

  • @nicholasn.5575
    @nicholasn.55754 жыл бұрын

    Hey man, thanks for your help. I love how descriptive you are and how you share multiple resources if something is not understood. You're a great teacher.

  • @thelonelytuba1972
    @thelonelytuba19722 жыл бұрын

    I've taken calc 1 twice now, I did it in high school and now in college, both times I've used this channel to help study for the tests

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    @adamjuckniewitz7272 жыл бұрын

    God bless you, bro. You've been teaching what I don't learn in class for two years

  • @anselally4408
    @anselally44084 жыл бұрын

    legit 3 minutes of OCT> University professor.

  • @leandrosatyawirationanda8166
    @leandrosatyawirationanda8166 Жыл бұрын

    Thank you so much for this video!! You helped me completing one of my homework questions and better understand how to find a critical number of a function.

  • @CityStreetViews
    @CityStreetViews6 жыл бұрын

    officially my best youtube teacher

  • @abdoulazizdabo9064
    @abdoulazizdabo90642 жыл бұрын

    You may be somewhere in LA but know that your students are all over the place and they appreciate your efforts. Thank you 🙏🏽

  • @georgesadler7830
    @georgesadler783011 ай бұрын

    Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Finding Critical Numbers in Calculus One. Finding Critical Numbers is important in all levels of Advanced Mathematics. This is an error free video/lecture on KZread TV with the Organic Chemistry Tutor.

  • @paulzupan3732
    @paulzupan3732 Жыл бұрын

    Another interesting way to solve the absolute value problem is to realize that |x| = sqrt(x^2), and finding the derivative that way. Derivative of |x| would be |x|/x, then just use the chain rule. I thought that was an interesting alternate solution.

  • @danielcezar4599
    @danielcezar45994 жыл бұрын

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  • @TheluvvlyLyss
    @TheluvvlyLyss3 жыл бұрын

    You be saving my life I swear

  • @Islamicreminder2006
    @Islamicreminder2006 Жыл бұрын

    Such an amazing tutor👑

  • @ojasviagrawal3180
    @ojasviagrawal31804 жыл бұрын

    Thank you so much, I was badly stuck on mod problems

  • @cora6940
    @cora6940 Жыл бұрын

    his videos will never fail me

  • @meskieLoves
    @meskieLoves5 жыл бұрын

    Nice. Very relaxing voice.

  • @cigxhang486
    @cigxhang4864 жыл бұрын

    many examples help A TON

  • @PatriciaDiaz-fq6zn
    @PatriciaDiaz-fq6zn3 жыл бұрын

    once again thank you so much for the help !!!!

  • @Nikhil_3239
    @Nikhil_32396 жыл бұрын

    Good keep doing what you are doing

  • @tk13edm
    @tk13edm5 жыл бұрын

    This video is wayyyyy better than the one on Khan Academy

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    @natsibm24883 жыл бұрын

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  • @fernandocruz9882
    @fernandocruz98824 жыл бұрын

    Great explanation JG, as usual.

  • @lanadelray9169
    @lanadelray91693 жыл бұрын

    Congrats for 2M subscribers

  • @ScBoyyx
    @ScBoyyx5 жыл бұрын

    Great, I was stuck on a homework problem and you solved one almost identically!

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    @claybee125 жыл бұрын

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    @karanveerplaha10966 жыл бұрын

    Man's a legend

  • @zulyc8641
    @zulyc86415 жыл бұрын

    Finally I get it! Thank you!

  • @ruthtilahun2881
    @ruthtilahun2881 Жыл бұрын

    May God bless you and your family

  • @scottb2587
    @scottb25874 жыл бұрын

    i wish you have covered the trig functions with a coefficient. trying to find zeros of sin(3x) for 0 less than x less than pi..... the anser is pi/6 and 5pi/6 but i dont see how... little help anyone??

  • @andreareyes4868
    @andreareyes48683 жыл бұрын

    in 15:14, why does the 9-x stay? Wouldn't it be just 1 since you are pulling out the (9-x)^1/2

  • @mitchelemonye503

    @mitchelemonye503

    Жыл бұрын

    that was what i was thinking as well, did you figure out why

  • @bitm4d
    @bitm4d2 жыл бұрын

    I'm at home sick and this is really helping me keep up in class.

  • @buck5655
    @buck56553 жыл бұрын

    I will never stop turning to OCT videos to save me

  • @franciscojavier5220
    @franciscojavier52205 жыл бұрын

    Your voice is amazing. Thank you for the explanation by the way.

  • @JohnSmith-bs5it
    @JohnSmith-bs5it5 жыл бұрын

    2:04 "set the numerator equal to x" - don't you mean equal to 0?

  • @dareal2669

    @dareal2669

    4 жыл бұрын

    He did to zeeo that's how he got -4

  • @ello7720
    @ello77205 ай бұрын

    I got a 100 on my calc exam thanks to you 🙏thank you for these videos.

  • @Dylan_J_Johnson

    @Dylan_J_Johnson

    4 ай бұрын

    All my calc exams have only been 50 minutes and had over 30 problems. No one is passing and the average grade is a 33. College is great.

  • @chesneyadonis805
    @chesneyadonis8053 жыл бұрын

    You are doing Gods work!

  • @ghhjjhjjjhujjvfhm7962

    @ghhjjhjjjhujjvfhm7962

    3 жыл бұрын

    Chill

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    @eymiaquino58085 жыл бұрын

    You. Are. The...BESTTTT.

  • @jianmeikamei6974
    @jianmeikamei69743 жыл бұрын

    Thank you bro

  • @mashass3171
    @mashass31715 жыл бұрын

    Thanks man

  • @4afrak
    @4afrak5 жыл бұрын

    So whenever you are finding the critical number of a fraction/ rational function you set both the numerator and denominator equal to zero?

  • @Dylan_J_Johnson

    @Dylan_J_Johnson

    4 ай бұрын

    Yeah

  • @rachelore21
    @rachelore213 жыл бұрын

    THANK YOU

  • @harrybrown1506
    @harrybrown15063 жыл бұрын

    You helped me earn a 100 on my differential calculus exam

  • @Michael4Times
    @Michael4Times8 ай бұрын

    thank you so much.

  • @yanhesap6728
    @yanhesap67284 жыл бұрын

    17:22 i think root of 9-x^2 had been smaller than 0, the interval would been critical. Am i right? Should we have considered this situation?

  • @chaseramos4865

    @chaseramos4865

    4 жыл бұрын

    yes

  • @tenx3
    @tenx3 Жыл бұрын

    From this point forward, I hope you find close parking spots on the days you're late for something.

  • @ERCatPat
    @ERCatPat Жыл бұрын

    Can someone explain at 5:19 why we ignored 6?

  • @mauriciocubillos1786
    @mauriciocubillos1786 Жыл бұрын

    A vertical asymptote counts as a critical points?

  • @candacetapia6111
    @candacetapia61112 жыл бұрын

    anyone else trying their hardest not to fall asleep trying to do their homework?

  • @mauro11122
    @mauro111226 жыл бұрын

    plz do more on integration

  • @winstonava1

    @winstonava1

    6 жыл бұрын

    organic chemistry....

  • @itscoolthough419
    @itscoolthough4194 жыл бұрын

    19:00 why are we dividing -sinx when there’s a sum(or substraction) there?

  • @mataraxis.1982

    @mataraxis.1982

    3 жыл бұрын

    That's called "factoring".

  • @afrolly2215
    @afrolly22155 жыл бұрын

    Life saver! Can you help me out with this equation- find the critical points for 9e^x-e^3x+6

  • @MandaBold
    @MandaBold8 ай бұрын

    god bless this channel

  • @addiejpashby9686
    @addiejpashby96862 жыл бұрын

    Bro came in clutch

  • @sammy5576
    @sammy55764 жыл бұрын

    is "e" a local maximum

  • @LadainianComeaux
    @LadainianComeaux19 күн бұрын

    saved me from despair.

  • @user-bo7lu2fj4x
    @user-bo7lu2fj4x3 жыл бұрын

    Thank you so much because I loss three mark in 12revision exam .thank u

  • @casualkillingspreewelcome
    @casualkillingspreewelcome5 жыл бұрын

    5:30

  • @nonaame1918
    @nonaame19189 ай бұрын

    I was hooked when he didnt redraw the first graph 5 times to get the perfect smoothness. I hate when math teachers do that.

  • @NkosanaTwala-n1e
    @NkosanaTwala-n1e2 күн бұрын

    Why wen the derivative happens to be a fraction why do we have to equate them to zero separately??

  • @l3s_o
    @l3s_o Жыл бұрын

    طالب سادس فضولي 🫣 Thx bro for this video ❤️‍🩹

  • @tarzan5231
    @tarzan5231 Жыл бұрын

    Can someone explain please how setting it to zero equals it to -1 @ 3:20

  • @jawadtariq9634

    @jawadtariq9634

    Жыл бұрын

    You subtract both sides of the above equation i.e 0=x+1 by -1. Thus, 0-1=x+1-1. The 1s cancel each other out leaving behind: -1 = x or x=-1.

  • @jeunessekatesuralta3288
    @jeunessekatesuralta32883 жыл бұрын

    luv it! question though, what's the difference between a critical point and a critical value?

  • @annikaj8021
    @annikaj8021 Жыл бұрын

    At 2:05, what do you mean by, "if we set the numerator equal to x"? Did you mean "set the numerator equal to -4"? I'm confused

  • @turkeysamr

    @turkeysamr

    Жыл бұрын

    If he solves the top of the equation as in 2x+8=0 and solves for x it'll be -4, at least that's what I'm guessing lol

  • @kelvinasamoah4184
    @kelvinasamoah41843 жыл бұрын

    Whats the difference of critical point and critical number

  • @user-em2hg7mu7l

    @user-em2hg7mu7l

    9 ай бұрын

    Let us assume critical number is c. Critical point is ( c, f(c))

  • @joebethtechmarkcreatives
    @joebethtechmarkcreatives Жыл бұрын

    May you live long

  • @thebudsofmay
    @thebudsofmay4 жыл бұрын

    17:19 Nice

  • @bobjoe164

    @bobjoe164

    4 жыл бұрын

    thats wack. lol

  • @searacha5604
    @searacha56043 жыл бұрын

    at 19:40 isnt 1/2 divided by -1/2 gonna be -1? Why is it (9-X)^1

  • @searacha5604

    @searacha5604

    3 жыл бұрын

    14:40

  • @SM-qn7sr

    @SM-qn7sr

    2 жыл бұрын

    You’re dividing the exponents. So it’s like 1/2 - (-1/2)= 1/2 + 1/2= 2/2= 1

  • @dyvonmilleriii9079
    @dyvonmilleriii90793 жыл бұрын

    Sounds like lil Tecca is teaching me math lmao

  • @lizzyberg1082
    @lizzyberg10824 жыл бұрын

    May Allah bless you for being such a big help for us!!

  • @slayerindisguise
    @slayerindisguise2 жыл бұрын

    but what happened to the 6 that was factored? 5:15

  • @Ed95366

    @Ed95366

    2 жыл бұрын

    Don't know if this comment will help now but, he discarded the 6 because he wanted to find out what the x's have to be to make the number in the parentheses become zero. If one number in one of the parentheses becomes zero then the whole equation will become zero because zero times what ever number will automatically become zero.

  • @SM-qn7sr

    @SM-qn7sr

    2 жыл бұрын

    The 6 is a constant and you can divide it by 0 and it disappears

  • @internalinjectiontrulyhere6182
    @internalinjectiontrulyhere61822 жыл бұрын

    Only fill the blood applied to you by a time or second you take it in til you rest%accountable

  • @timruelas3279
    @timruelas32793 жыл бұрын

    17:20 .......nice

  • @naimatullahkhanitistruth5062
    @naimatullahkhanitistruth50624 жыл бұрын

    Sir why we compare the 1st derivative with 0

  • @dfm01000

    @dfm01000

    3 жыл бұрын

    Because it's the only way to find the critical number/numbers

  • @SM-qn7sr

    @SM-qn7sr

    2 жыл бұрын

    Because when the derivative is 0 there is a horizontal tangent line where the slope is 0.

  • @XxRespawNxX619
    @XxRespawNxX6195 ай бұрын

    BLESS

  • @internalinjectiontrulyhere6182
    @internalinjectiontrulyhere61822 жыл бұрын

    Accountive

  • @asezashenxane1380
    @asezashenxane13806 жыл бұрын

    Hello Mr Donʼt you have videos on Structural Analysis: Shear Force Diagrams, Bending moment Diagrams, Deflections of beams, Method of sections of finding internal forces and More? Please...

  • @georgesadler7830

    @georgesadler7830

    11 ай бұрын

    Please google lectures by Jeff Hanson for this material.

  • @natashakhalil2426
    @natashakhalil24262 жыл бұрын

    This man is the only reason why I understand CALC

  • @amfaalceesay899
    @amfaalceesay8992 жыл бұрын

    May Allah bless the great job yours bro.

  • @issayahya625

    @issayahya625

    Жыл бұрын

    he is not muslim so respectfully stfu

  • @youtriggered8179

    @youtriggered8179

    Жыл бұрын

    @@issayahya625 so what? can he not wish him health? muslim or not... tf

  • @Want2goflexxx
    @Want2goflexxx3 жыл бұрын

    17:19 nice

  • @juraijbinjamal5313
    @juraijbinjamal53136 жыл бұрын

    Still not watched full 😭

  • @ariannawelti4671
    @ariannawelti4671 Жыл бұрын

    i was about to fail my upcoming test until i found this video holy crap thank you!

  • @furkankaraman6245
    @furkankaraman62452 жыл бұрын

    Could anyone write trigonometric lesson that this brilliant teacher has shown last 2 minutes

  • @issayahya625

    @issayahya625

    Жыл бұрын

    he is gay

  • @furkankaraman6245

    @furkankaraman6245

    Жыл бұрын

    @@issayahya625 what do you mean, ı could not understand ?

  • @eduroes
    @eduroes3 жыл бұрын

    Cosin of 120( 2pi/3) is also 0.5 (1/2)

  • @DylanGames1000
    @DylanGames10002 жыл бұрын

    On example 2. If you factor by the quadratic formula, you get x = -2 ; x = -3. Unless I simply just made a simply math error. I believe the critical numbers are -2,-3. Please correct me if I am wrong.

  • @dyvonmilleriii9079
    @dyvonmilleriii90793 жыл бұрын

    I got pack hit em and do it again

  • @eunicekokomunyampara6400
    @eunicekokomunyampara64002 жыл бұрын

    I really have hard time understanding polynomial graph.

  • @badkarma1262
    @badkarma1262 Жыл бұрын

    why cant x = 0 when sinx = 0

  • @pablolopez-maheras3795
    @pablolopez-maheras3795 Жыл бұрын

    Why can't you be my professor

  • @thelifeofjesuschrist7525
    @thelifeofjesuschrist75253 жыл бұрын

    WD

  • @user-kn2ub2cj8z
    @user-kn2ub2cj8z2 жыл бұрын

    💛💛💛💛💛💛💛💛

  • @user-iu4nn4nf6o
    @user-iu4nn4nf6o3 жыл бұрын

    Φουερ Μάθ ψήφ μετεω διδ 2

  • @RaffaelloLorenzusSayde
    @RaffaelloLorenzusSayde2 жыл бұрын

    Stop honoring him.. He is just like everyone else a regular human being.

  • @user-kn2ub2cj8z

    @user-kn2ub2cj8z

    2 жыл бұрын

    No he is nota regular human benig . I get high not in the exam because of him . He is not normal he was never normal he is always a great person. English is not my first language but I can understand everyo he is explaning easily because he is great .

  • @jermaineferron2722

    @jermaineferron2722

    Жыл бұрын

    you a hater

  • @user-kn2ub2cj8z
    @user-kn2ub2cj8z2 жыл бұрын

    🌻🌻🌻🌻🌻🌻

  • @nestlequimno4737
    @nestlequimno47373 жыл бұрын

    "iniwan na "? haha

  • @deli5777
    @deli57772 жыл бұрын

    great vid but please fix your volume. I have to crank mine up, then I get blasted by an ad

  • @scronk4486
    @scronk44865 жыл бұрын

    so is it a written rule that everyone who makes a math video on youtube has to be sitting a minimum of 14 feet away from their mic.