Relative Extrema, Local Maximum and Minimum, First Derivative Test, Critical Points- Calculus

This calculus video tutorial explains how to find the relative extrema of a function such as the local maximum and minimum values using the first derivative test.
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: 286

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor5 ай бұрын

    Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections

  • @marcusvillacorta3499
    @marcusvillacorta34994 жыл бұрын

    Got a midterm in 10 minutes wish me luck

  • @IUsePCP

    @IUsePCP

    4 жыл бұрын

    A midterm in November??

  • @LP-rm6ek

    @LP-rm6ek

    4 жыл бұрын

    @@IUsePCP in some classes, any test is called a midterm... so if there are like 5 tests throughout the semester, each one is called a midterm even though it's not the middle of the term.

  • @denverdean2663

    @denverdean2663

    4 жыл бұрын

    How'd it go? I am going to have my finals tomorrow and I have no idea what this is all about

  • @LP-rm6ek

    @LP-rm6ek

    4 жыл бұрын

    @@denverdean2663 well, I don't know about him but I had just had a midterm and it went horrible... like really really really bad.

  • @fer-curium1650

    @fer-curium1650

    4 жыл бұрын

    LP? Lmao

  • @user-pw3xb6cg8d
    @user-pw3xb6cg8d7 ай бұрын

    I'm pretty sure this dude is the only reason that I have any chance at graduating college. Thanks

  • @ghnjmcyg

    @ghnjmcyg

    12 күн бұрын

    Same

  • @ryandeen999
    @ryandeen9995 жыл бұрын

    Keep up the lessons, you've made a significant difference in my marks. Thank you!

  • @trinitran4608
    @trinitran46084 жыл бұрын

    Thank you so much, I understand what my calc teacher is talkin about finally! I wish I could give you a big hug, I feel so much better after watchin this

  • @kiracook512
    @kiracook5122 жыл бұрын

    I really enjoy watching your videos. They have helped me greatly in the last year or so of mathematics.

  • @shiro-om3ny
    @shiro-om3ny2 жыл бұрын

    If you need to find out if it is a max or min, use this: f’’(x)>0 = min or f’’(x)

  • @user-nd2zu6tr3s

    @user-nd2zu6tr3s

    9 ай бұрын

    This is much easier thanksss T-T

  • @99ish91

    @99ish91

    7 ай бұрын

    I’m gonna try this out on my test which is in a couple hours. I trust you

  • @ts37924

    @ts37924

    6 ай бұрын

    if we get a f"(x) = 0 is there still a possibility for x be to be a maxima or a minima if f'(x)=0 is the change in slope (i.e the second derevitive) of a * maxima * or a * minima * must always be * negetive dec. * or * positive inc. * respectively or can it be * zero * at any of them aswell?

  • @lkdjlkjd
    @lkdjlkjd7 жыл бұрын

    You sir, are a gentleman and a scholar. You make math so easy!

  • @Gina22553
    @Gina225534 жыл бұрын

    Thank you so much sir. You don't know how much you are helping me. You explain better than the book I have

  • @klaas4466
    @klaas44663 жыл бұрын

    You have saved me so many times, you are the best teacher I have ever had

  • @izba4215
    @izba42153 жыл бұрын

    lets not skip any ads as a thank you hahaha

  • @poutinery
    @poutineryАй бұрын

    It's crazy how my professor spent 2 hrs and 15 minutes explaining this with a 15 page long worksheet and I didn't understand jack. You literally taught it in 12 minutes, I love you

  • @guitarttimman
    @guitarttimman5 жыл бұрын

    You did a great job with your presentation. Thank you.

  • @Alexis-dq2mb
    @Alexis-dq2mb3 жыл бұрын

    I wonder how much money he’s saved students from dropping their math classes

  • @vincec894
    @vincec8942 жыл бұрын

    Watching this 20 minutes before my calc final. Thank you sir

  • @AceTrader_
    @AceTrader_4 жыл бұрын

    Bro... you r out of this world. Thanks!!!

  • @sebastiancastaneda7418
    @sebastiancastaneda74184 жыл бұрын

    Thank you starting to feel more confident in BUS CALC

  • @deactivated9940
    @deactivated9940Ай бұрын

    you are better than 90% of professors, bless your soul i love you

  • @meghnaarora297
    @meghnaarora2976 жыл бұрын

    awesome work , really helpful!😃

  • @bruhnish598
    @bruhnish5987 ай бұрын

    9:40 the easiest thing to do is plug in 0. that way, you can cross out all the 'x's and focus only on the signs of the constants. in this case, you have 3 negatives, so you'll get a negative answer after plugging in 0. so the sign between -2 and 1 is '-'. now you can use the multiplicity trick.

  • @zahraaa59676
    @zahraaa59676 Жыл бұрын

    amazing video. used some great tricks and hacks to get the answers and made everything clear.

  • @fernandjumamoy9927
    @fernandjumamoy99275 жыл бұрын

    Thank you very much, very helpful I really like the way you teach

  • @matheshvarma1893
    @matheshvarma18939 ай бұрын

    bro i got 53 percentage in my 12th grade cause i dont like math but i hear about your channel and i started to love maths and i got 99 percentages accross my 3 semesters love you bro

  • @renan6827
    @renan68275 жыл бұрын

    Thank you. I was struggling to understand this . After watching your video I feel much better.

  • @princeequalizer3715

    @princeequalizer3715

    4 жыл бұрын

    were you sick?

  • @arki3134

    @arki3134

    3 жыл бұрын

    @@princeequalizer3715 lmao

  • @alexandricknisi8764
    @alexandricknisi87645 жыл бұрын

    I love your videos, very helpful to me.

  • @19magallon97
    @19magallon976 жыл бұрын

    I'm convinced that Mark Wahlberg is on the other end of the mic

  • @ItsIsaan

    @ItsIsaan

    4 жыл бұрын

    @baldy hardnut A little bit deeper but not much

  • @ItsIsaan

    @ItsIsaan

    4 жыл бұрын

    @baldy hardnut Cant wait :)

  • @LP-rm6ek

    @LP-rm6ek

    4 жыл бұрын

    reminds me of the Mark Wahlberg Talks to Animals skit on SNL.

  • @mr.nobody8958
    @mr.nobody89586 жыл бұрын

    thanks man your channel is the best !

  • @Solomart
    @Solomart11 ай бұрын

    Thanks for this video. You make maths very easy !

  • @0s0sXD
    @0s0sXD3 жыл бұрын

    Omg. So well explained. Thanks dude Love it!

  • @vfxentity
    @vfxentity6 ай бұрын

    20 pages of material in 12 minutes..thank you sir

  • @basilkhan1998
    @basilkhan19985 жыл бұрын

    Sir. MAY GOD BLESS U. U helped so many

  • @sirolemayo

    @sirolemayo

    5 жыл бұрын

    and God bless you for blessing him!

  • @yaaasiamah
    @yaaasiamah Жыл бұрын

    Thanks man. You've been a great help.

  • @thehope1797
    @thehope17972 жыл бұрын

    Your explanation is great

  • @prevara5162
    @prevara5162 Жыл бұрын

    idk why or how but this taught me on 5 minutes what I could not figure out from the textbook in over an hour

  • @vishugaur6178
    @vishugaur61783 жыл бұрын

    After 5 years this video is still so relevant wow great job

  • @natefergeson2390

    @natefergeson2390

    2 жыл бұрын

    yea... the rules of math and calculus don't change much do they...

  • @whannabi

    @whannabi

    2 жыл бұрын

    @@natefergeson2390 true lmao

  • @PeterGriffin-ic3kw

    @PeterGriffin-ic3kw

    Жыл бұрын

    what did you expect

  • @aa101573
    @aa101573 Жыл бұрын

    I’m from Taiwan and I think this video is more useful to me than all the other Chinese calculus video

  • @nana-wn5th
    @nana-wn5th4 жыл бұрын

    i swear I'd give you my lungs you're a lifesaver

  • @mrw5258
    @mrw52583 жыл бұрын

    Thank you . It is amazing for both learning and revising!!!!

  • @latiftyber4538
    @latiftyber45383 жыл бұрын

    I feel like I owe you my tuition for the great support towards my degree😭

  • @glitchy3908
    @glitchy3908 Жыл бұрын

    this man is a savior, thank you

  • @merc6380
    @merc63805 жыл бұрын

    MVP I like this guy

  • @stevejohargy1224
    @stevejohargy12245 жыл бұрын

    Best guy in the world

  • @mahirmahmood7777
    @mahirmahmood77774 жыл бұрын

    i big love to you way of explaining

  • @irisgomez9684
    @irisgomez96845 жыл бұрын

    You are a GENIUS

  • @srithummalapalli3333
    @srithummalapalli33332 жыл бұрын

    great work!

  • @somaa3291
    @somaa32915 жыл бұрын

    You are the best ♥️♥️♥️♥️

  • @golamrabbi5560
    @golamrabbi55604 жыл бұрын

    bhaaai apne sheraa

  • @kamenzhelyazkov8575
    @kamenzhelyazkov85752 жыл бұрын

    1:06 here lies the issue with my highschool teacher ;D, they explain very well everything graphically with simple functions, and the calculations are easy, then we go to functions with critical points that are not extremas, and not defined functions and all that sht and they are like, ey analogically from what we've discussed, like i can imagine graphs as easy as a person who worked this field for 40 years; it is way easier to remember when you study from raw methods, you cant force intiution in student's brain, it is something that develops over time

  • @Blueian742
    @Blueian742Ай бұрын

    This stuff seems complicated at first but after a bit of studying and plenty of practice fits together elegantly.

  • @muhammadhammad268
    @muhammadhammad2683 жыл бұрын

    outclass would be a very small word for you. Fabulous

  • @SamyThiam
    @SamyThiam2 жыл бұрын

    thank you for your help!

  • @jeanettequintero2313
    @jeanettequintero23135 жыл бұрын

    Feel free to pause the video

  • @mrw5258

    @mrw5258

    3 жыл бұрын

    Your name sucks I'm sorry 😐

  • @michaeljorban9872
    @michaeljorban98727 ай бұрын

    Ur such a beauty for these videos

  • @Dean.AlAmriki
    @Dean.AlAmriki2 жыл бұрын

    Thank you so much!!

  • @sinewedbastion
    @sinewedbastion5 жыл бұрын

    helped me a lot before my final

  • @jiejie0600
    @jiejie06003 жыл бұрын

    We're having midterm exam today so i need to rewatch it again while answering my exam😊😊

  • @rohn.exists

    @rohn.exists

    Жыл бұрын

    bruh

  • @LoneWolf-wq1nq

    @LoneWolf-wq1nq

    9 ай бұрын

    how did it go

  • @trip4doyle
    @trip4doyle2 ай бұрын

    locking in for my last 2 calc 1 tests, wish me luck. I will be back in may to let you guys know if i passed or failed the course.

  • @Succer

    @Succer

    Ай бұрын

    Hold up I gotta lock in too

  • @laurenadams6856
    @laurenadams6856 Жыл бұрын

    Got 2 finals today, pray for me. 💜

  • @kevingotbanned1

    @kevingotbanned1

    Жыл бұрын

    Good luck lol mine on Friday

  • @foca7550

    @foca7550

    Жыл бұрын

    Have a Calc test tomorrow

  • @21Screen

    @21Screen

    Жыл бұрын

    @@foca7550 Same but mine's tomorrow. A day after yours. How'd it go ?

  • @foca7550

    @foca7550

    Жыл бұрын

    @@21Screen Pretty poorly. I'm in uni and my gf collapsed with severe chest pains the morning of the test. Had to call an ambulance. Was just worried about her the whole time I was taking the test. Good luck on yours though!

  • @Minerva578

    @Minerva578

    Жыл бұрын

    @@foca7550 how was it

  • @corybrewer8286
    @corybrewer8286 Жыл бұрын

    woooo The Organic Chem Tutor is the best

  • @gouravawasthi8920
    @gouravawasthi89204 жыл бұрын

    thanks sir nice explain

  • @BenShMotoJIE
    @BenShMotoJIE3 жыл бұрын

    Very helpful 😇

  • @judyhopps1324
    @judyhopps13242 жыл бұрын

    there is a mistake at 10:31. (x-1)^2 has even multiplicity, the sign should be + in the number line

  • @hawamusah-opata9799

    @hawamusah-opata9799

    2 жыл бұрын

    that's true cuz i got confused over there

  • @kk7420

    @kk7420

    2 жыл бұрын

    @@hawamusah-opata9799 wouldn't it be "-"? If the power is even, the sign stays the same(like he mentioned in the video). When x is greater then 2, it's negative. Therefore when x is lesser than 2, it's still negative.

  • @hustlefaith

    @hustlefaith

    Жыл бұрын

    I was looking for this comment. Yes I got confused too. I watched it over and over again.

  • @blackgoat7863
    @blackgoat7863Ай бұрын

    Simply the best

  • @Riad-Eleid
    @Riad-Eleid10 ай бұрын

    Thank you

  • @theonlyonewithwings_2297
    @theonlyonewithwings_22974 жыл бұрын

    thank you so much

  • @kingsleeaeronyu9562
    @kingsleeaeronyu95624 жыл бұрын

    Thank you organic chemistry

  • @dulendamsana5185
    @dulendamsana518511 ай бұрын

    Thankyou soo much this helps me a lot>

  • @ZipperPlayZ
    @ZipperPlayZАй бұрын

    Thank you !

  • @nouhamourad7507
    @nouhamourad75072 жыл бұрын

    THANK YOU!

  • @taibafarhan7084
    @taibafarhan7084 Жыл бұрын

    thank you

  • @killiansgame5534
    @killiansgame55343 жыл бұрын

    just looked at your channel (have been using ur calc vids all year)... how do you know everything. serious question lol

  • @user-wi5td7xi3c
    @user-wi5td7xi3c2 ай бұрын

    Thank you!!

  • @sweDtwks
    @sweDtwks Жыл бұрын

    Mid-sem exams in 12 hours. Thank you🥲❤️❤️

  • @zainislam554
    @zainislam5543 жыл бұрын

    will the critical values be substituted in real function or the marginal function? . If we have only one critical value so are we going to substitute the two extreme values located to the left and side of the critical value? eg if we have the critical value of 4 , the two extreme values located near 4 are 3 and 5 , are we going to substitute these values?

  • @shr1mpy194
    @shr1mpy1943 жыл бұрын

    A- on calc finals thanks to you

  • @linnmyataung6433
    @linnmyataung64336 ай бұрын

    Thanks you a milli

  • @buttercroissant1278
    @buttercroissant12782 жыл бұрын

    THANKU SO MUCH

  • @sirolemayo
    @sirolemayo5 жыл бұрын

    omg you are a wizard!

  • @dittemarie1603

    @dittemarie1603

    4 жыл бұрын

    Harry

  • @nurafiqahazli879
    @nurafiqahazli8792 жыл бұрын

    I want to ask, at 7.00 where did the number 6 go? on the question after the factor.

  • @jescee8018
    @jescee80183 ай бұрын

    thanks so muchhh!!

  • @evan2726
    @evan27262 жыл бұрын

    you are my hero

  • @tonitavake3307
    @tonitavake33072 жыл бұрын

    could you pls upload more content on this topic pls and that you! :)

  • @ts37924
    @ts379246 ай бұрын

    is the change in slope (i.e the second derevitive) of a * maxima * or a * minima * must always be * negetive dec. * or * positive inc. * respectively or can it be * zero * at any of them aswell?

  • @mahmoudabdrabo6232
    @mahmoudabdrabo62324 жыл бұрын

    many thx

  • @zef1o338
    @zef1o3382 ай бұрын

    Take note that another way to find whether the point is a maximum or minimum is taking the second derivative and plugging the x value. If the result is x>0 then it is a minimum and if x

  • @nafisibnmahabub6125
    @nafisibnmahabub612521 күн бұрын

    Got my Semester final in 4 hrs. Wish me luck guys.

  • @dashkaalceus6217
    @dashkaalceus62176 жыл бұрын

    At 3:49 when finding the Derivative. Did you factor out the 2 to find the dy/dx?

  • @gianny2977

    @gianny2977

    6 жыл бұрын

    he factored it just to simplify and make it easier to solve for x and find the critical point. you should always simplify as much as you can (unless its a super complicated problem and it'll just take you back to the original answer)

  • @lamarkhayat1730
    @lamarkhayat17305 ай бұрын

    The way he says increasing and decreasing is satisfying for some reason lol

  • @dbak6924
    @dbak6924 Жыл бұрын

    thank u😄

  • @user-li8if6pd9x
    @user-li8if6pd9x Жыл бұрын

    Wish me luck y’all got my final in 2 hours

  • @benjaminfranklin6249
    @benjaminfranklin62492 жыл бұрын

    Been sick for two weeks straight and teacher cutting me no slack. Got a test at 8:30 sharp wish me luck gang

  • @nutritionbyelsa
    @nutritionbyelsa7 ай бұрын

    epic! thank you

  • @uchihawa
    @uchihawa3 жыл бұрын

    wow just wow!

  • @jameslandon8314
    @jameslandon83147 ай бұрын

    I will pass this class.

  • @djsodrip_8694
    @djsodrip_8694 Жыл бұрын

    Increasin and decreasin

  • @toxic_rosse6434
    @toxic_rosse64343 жыл бұрын

    Is it a start up point or settle point?

  • @jessicamaduka537
    @jessicamaduka5373 жыл бұрын

    Can you find the max and min values of a function with an imaginary critical value? I'm trying to solve a homework problrm but the critical value is the square root of -1 and I'm stuck.

  • @Ethiopian-Education

    @Ethiopian-Education

    Жыл бұрын

    What grade are you?

  • @x_shabah_x8106
    @x_shabah_x81063 жыл бұрын

    My exam is today wish me luck x

  • @amooraalkaabi2171
    @amooraalkaabi2171 Жыл бұрын

    Got a final in two days wish me luck I’m so stressed

  • @dominicheywood2286
    @dominicheywood22864 жыл бұрын

    Could u try 2x^3 + x^2 - 3x +10