Calculus I - Concavity and Inflection Points - Example 1

Поделиться
HTML-код
  • Опубликовано: 3 дек 2024

Комментарии • 185

  • @meaganthorpe630
    @meaganthorpe630 8 лет назад +170

    This helped me more in 12 minutes, than my professor could in an hour and 15 minutes, Thank you!

    • @bhan4
      @bhan4 8 лет назад +3

      LOL

    • @ownthispwn
      @ownthispwn 7 лет назад +5

      I love worthless professors (: my favorite

    • @phleXcss
      @phleXcss 7 лет назад +3

      took my professor 3 hours and this helped more.

    • @isaacarmani783
      @isaacarmani783 3 года назад

      I know im randomly asking but does anybody know a tool to get back into an instagram account?
      I was stupid forgot the password. I love any tips you can offer me.

    • @carlalexander2028
      @carlalexander2028 3 года назад

      @Isaac Armani instablaster :)

  • @arnav2723
    @arnav2723 3 года назад +7

    short, simple and to the point, precisely what's needed 👏

  • @michellelam2392
    @michellelam2392 7 лет назад +45

    i rarely comment on videos, but I just need to tell you how great you are, thank you so much!

  • @maxines108
    @maxines108 6 лет назад +4

    You saved me, may god reward you the best in your life

  • @MSgreen4
    @MSgreen4 10 лет назад +9

    I was slightly confused in my class, but this video helped clear it up. Thanks!

  • @kimberleychituku4098
    @kimberleychituku4098 3 года назад +5

    I'm very impressed, I'm sure i will do great in my exams .All thanks to you.

  • @PANDORASBOXRELEASE
    @PANDORASBOXRELEASE 10 лет назад +12

    you rock man. Spent a week at outdoor ed as a cabin leader and came back with a test as a welcome back gift. this helped

    • @megsperry2925
      @megsperry2925 4 года назад +1

      hope your test went well 5yrs ago

    • @PANDORASBOXRELEASE
      @PANDORASBOXRELEASE 4 года назад

      @@megsperry2925 Considering I have a bachelor's degree in math now... I asked this question all the way back in high school!

    • @megsperry2925
      @megsperry2925 4 года назад

      @@PANDORASBOXRELEASE well good job with math! I'm in calc, struggling lol..care to come teach my math class? XD

    • @PANDORASBOXRELEASE
      @PANDORASBOXRELEASE 4 года назад

      @@megsperry2925 I aim to become a professor, so maybe one day! I'd actually be happy to help though. This page provided me with so much help back then. I used to be terrible at math.

    • @megsperry2925
      @megsperry2925 4 года назад

      @@PANDORASBOXRELEASE Teaching kids math..mm not the first then I think about when thinking about my future lol. I hope you get to be a professor and teach un-math kids how to math. Why did you want to be a math prof. if you were bad at math??

  • @Ethereal429
    @Ethereal429 8 лет назад +2

    Thank you very much! This is much more helpful than other videos I've watched or examples I've looked at.

  • @rockblaze5016
    @rockblaze5016 6 лет назад +1

    One of the most useful content in youtube

  • @amosodhiambo9252
    @amosodhiambo9252 6 лет назад +1

    This video lecture really helped me 100 times in a couple hours than my lecturer who took more than 3 hours teaching me
    Big up

  • @21Greatest
    @21Greatest 10 лет назад +1

    Very easy to understand. You made this feel like it was some basic algebra problem!

  • @Ygnez
    @Ygnez 10 лет назад +7

    Nice, from not understanding to fully understanding in 10 minutes :D

  • @sdk3113
    @sdk3113 6 лет назад +1

    Studying for an exam tomorrow and reviewing notes... My notes make no sense whatsoever in the way I wrote them.. I just want to say THANK YOU for your help. Good luck on your quizzes/exams to the others watching this video!

  • @alimurtaza7092
    @alimurtaza7092 5 лет назад

    Your teaching procedure is so good. You clear my all points thank u soo much Sir!

  • @angilineingcad2342
    @angilineingcad2342 3 года назад

    Thank you so much... Because of you i undesrtand my module😊

  • @greatnessT
    @greatnessT 7 лет назад +1

    You're speaking knowledge my friend!

  • @divyaraj5778
    @divyaraj5778 4 года назад +1

    Thanks sir ,good explanation

  • @monar.becker4201
    @monar.becker4201 7 лет назад +5

    Thank you, thank you, thank you! You saved the day! :)

  • @melissasamide6252
    @melissasamide6252 9 лет назад +5

    you're amazing, thanks so much

  • @annien8306
    @annien8306 6 лет назад

    Thanks so much! I feel a lot better about my quiz tomorrow!

  • @Mavedalicious
    @Mavedalicious 11 лет назад +1

    thank you for the in-depth explanation!

  • @darkwolf8226
    @darkwolf8226 3 года назад

    Thank u!! Ur video helped a lot😊... Love from India 🇮🇳 ❤️

  • @marwalarendani2451
    @marwalarendani2451 4 года назад +2

    Thank you so much this really helped me a lot 🙏

  • @kagisodipheko3098
    @kagisodipheko3098 7 лет назад +1

    thank you sir KEEP UP THAT FRUITFUL WORK

  • @betyawoke7053
    @betyawoke7053 2 года назад

    This vedio very nice because my understand concavity up and dawn tank you very much

  • @usmanacademykhohar2824
    @usmanacademykhohar2824 3 года назад

    Very impressive lecture

  • @basilco2941
    @basilco2941 3 года назад

    Great explained, great worked

  • @kavinprasath6457
    @kavinprasath6457 4 года назад

    Wow , everything was easily understood, so thankyou

  • @abdullahkarim9131
    @abdullahkarim9131 4 года назад

    Thanks alot,,, today I learned something new🌺🌺

  • @m-2180
    @m-2180 6 лет назад +2

    Thank you this really helped me 😩💜💜💜💜

  • @lowlesssate1934
    @lowlesssate1934 2 года назад

    very good teaching.

  • @ryandaepic1838
    @ryandaepic1838 3 года назад +1

    Yeah, all the thank-yous, but why did he stop uploading?

  • @sheulyakter5490
    @sheulyakter5490 2 года назад

    From Bangladesh, I am interested in PoI though it's the topic of advance classes. Thanks for helping me to make it clear.

  • @ViolentAuthority
    @ViolentAuthority 9 лет назад +1

    You're awesome. Keep it up.

  • @Dhia_anims
    @Dhia_anims 2 года назад

    I'm literally learning this 1 hour befour the exam and i hope it work , good video!

    • @pagalinsaan8231
      @pagalinsaan8231 Год назад

      How was your exam

    • @Dhia_anims
      @Dhia_anims Год назад

      @@pagalinsaan8231 haha bad i think I'll get 9 points out of 20 thanks for asking tho

    • @Dhia_anims
      @Dhia_anims Год назад

      I'll study earlier next time lol

    • @pagalinsaan8231
      @pagalinsaan8231 Год назад

      @@Dhia_anims i had also maths exam hopefully i will get 15 out of 20

    • @Dhia_anims
      @Dhia_anims Год назад

      @@pagalinsaan8231 i hope so

  • @abdulnabi4063
    @abdulnabi4063 4 года назад

    kudas sir....well expalined..cheers..!!!!!

  • @soumyamohapatra649
    @soumyamohapatra649 4 года назад

    Tq so much sir.. Really this video is very help full..

  • @andrewzanca2324
    @andrewzanca2324 6 лет назад

    great videos, very helpful

  • @roman20mark62
    @roman20mark62 5 лет назад +2

    I want concavity for the points X= -1/2 ??

  • @allannandia2519
    @allannandia2519 2 года назад

    thankyou it's very helpful to me

  • @binosebastian5746
    @binosebastian5746 5 лет назад

    Thank you so much sir . you've really helped me with this please make more videos on this topic.

  • @nonichan8829
    @nonichan8829 8 лет назад +3

    thank you thank you thank you

  • @ramnareshdara5203
    @ramnareshdara5203 5 лет назад

    You helped me as much as I can not write because I am hindi medium student not able to understand english much but you gave subtitles so ❤❤❤❤❤❤❤❤❤❤❤❤❤💞💓👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍

  • @hufsajaved3491
    @hufsajaved3491 3 года назад

    Thanks sir I am from Pakistan
    I understand very well

  • @temioluade8341
    @temioluade8341 5 лет назад

    You a blessing fr!!!

  • @scapedrag7893
    @scapedrag7893 6 лет назад

    very well explained. thank you

  • @Consolous
    @Consolous 8 лет назад

    Great video, I learned from another video the concavity and came for the inflection point, but I reinforced my understanding of concavity while watching your video. 2 birds on one shot :) thanks!

  • @joshuakusuma5953
    @joshuakusuma5953 8 лет назад +2

    Is it possible to have two different x values which would lead to two different points of inflection?

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 лет назад +1

      +joshua kusuma yes. I'm sure I have at least one video on my channel of a function with more than one inflection point, if you wanted to see an example.

  • @ahmedak_1
    @ahmedak_1 4 года назад

    Thanks Sir, that was pretty awesome

  • @x2memox2
    @x2memox2 9 лет назад

    there are more than a 100 "so" in this video. however, it's really helpful. thanks

  • @jim51011
    @jim51011 3 года назад

    Thank you brother!

  • @sivaprasadmp2245
    @sivaprasadmp2245 4 года назад

    Thank you for your help

  • @sangyaltsering7645
    @sangyaltsering7645 10 лет назад

    Was very helpful! Thanks!!!

  • @Kepitt
    @Kepitt 6 лет назад +1

    8:02 ...and beyond!
    I'll show myself out...

  • @thischick6
    @thischick6 8 лет назад

    Thanks for your help!

  • @MaliaDinko
    @MaliaDinko 10 лет назад

    Thank you so. Just what I needed to know

  • @junior8954
    @junior8954 7 лет назад +1

    Very helpful!

  • @Rituparna_
    @Rituparna_ 4 года назад

    Thank you sir thank you so much

  • @samson4958
    @samson4958 8 лет назад

    i think its good that you are doing question but make it more clear

  • @sachinkumarbrahma721
    @sachinkumarbrahma721 2 года назад

    Thanks alot sir 🙏🙏🙏

  • @misty348
    @misty348 10 лет назад

    Thanks that was really helpful

  • @dmmsharkey
    @dmmsharkey 7 лет назад

    This was great help. This new webassign system hacc is using is completely pointless. Apparently I'm supposed to learn calculus from reading the book...

  • @zainabhaider4369
    @zainabhaider4369 Год назад

    maybe a question. Why do we derive twice! We do not equate the first derivative with zero, as in Rolle's theorem.!! Why do we derive twice and not 3 or 4 times?

  • @fazlulhoque7279
    @fazlulhoque7279 6 лет назад

    Nice explanation

  • @American_patriot110
    @American_patriot110 9 лет назад

    That was very helpful, thanks man.

    • @Leadwithlove654
      @Leadwithlove654 2 года назад +1

      r u somali? just wondering ,

    • @American_patriot110
      @American_patriot110 2 года назад

      @@Leadwithlove654 yeah lol 😆 i wrote this comment 6 yrs ago when i was is in college

    • @Leadwithlove654
      @Leadwithlove654 2 года назад

      @@American_patriot110 no, I wrote this comment just 24 hrs ago, i was watching this video while doing my homework and saw your name and i didn't think you were going to reply but you did wow!

    • @American_patriot110
      @American_patriot110 2 года назад

      @@Leadwithlove654 lol 😆 my bad, i wanted to say "i wrote" instead i put U in the place of i. Thanks Huuno, Glad you are studying Hard. Keep going forward sis

  • @aymanmuthana9768
    @aymanmuthana9768 7 лет назад

    You are great!

  • @prab99uk
    @prab99uk 8 лет назад +1

    Hi great video, but one question: I understand here you are told there is a point of inflection so you can use f''(x) =0 to find this point. But if you just had that equation and were asked to prove it was in fact a point of inflection at x=2, how would you go about it? I'm aware that a point of inflection implies that f"(x)=0 but I also know that f"(x)=0 does not imply that it is necessarily a point of inflection.

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 лет назад

      Thanks. You'd do literally exactly the same thing. Although we knew ahead of time in this case that there was a point of inflection, we didn't know where or what it was and when we looked for it we didn't use the fact that we knew it exists.
      If you're just told to investigate then you do all of the same steps. The only difference is it's possible to conclude that there are no inflection points.

    • @prab99uk
      @prab99uk 8 лет назад

      Oh ok, I understand it now thanks! Also is it worth using f'''(x) instead of doing this method for a point of inflection?

    • @TheInfiniteLooper
      @TheInfiniteLooper  8 лет назад

      Sorry, missed the notification on this one somehow. I don't think so. I don't see how using the third derivative can be helpful when looking for points of inflection. For points of inflection you want to know where the second derivative is positive, negative, and zero. The third derivative basically only tells you when the second derivative is increasing, decreasing, or constant.

  • @vipuldaripkar
    @vipuldaripkar 10 лет назад

    Thank you so much.

  • @emanjoudeh859
    @emanjoudeh859 4 года назад

    Thank you😍😍😍

  • @TheSuiteLifeofVal
    @TheSuiteLifeofVal 4 года назад

    Awesome 👏🏻

  • @saniatrisha7817
    @saniatrisha7817 9 лет назад

    thanks! it helped me a lot! :)

  • @brepatel6152
    @brepatel6152 Год назад

    thank u king!

  • @karandhami1542
    @karandhami1542 3 года назад

    Thank you sir

  • @ericbaptista536
    @ericbaptista536 6 лет назад

    Thank you sir!

  • @bhan4
    @bhan4 8 лет назад

    Thank you so much!

  • @user-kc3vm3jw2b
    @user-kc3vm3jw2b 6 лет назад

    Thank you 💗

  • @navajohnny76
    @navajohnny76 6 лет назад

    Thank you.

  • @kayemarine1442
    @kayemarine1442 6 лет назад

    u rock my dude

  • @PuppyRT
    @PuppyRT 10 лет назад

    this is very helpful thanks :D

  • @tianhaozhang7169
    @tianhaozhang7169 7 лет назад

    Very clear

  • @mesutbakhtyari
    @mesutbakhtyari 6 лет назад

    Thank you!

  • @omnnnooy3267
    @omnnnooy3267 9 лет назад

    you are amazing

  • @somone5186
    @somone5186 7 лет назад

    thanks so much

  • @astronwitt2215
    @astronwitt2215 10 лет назад

    Thanks, does ciritical number is only for f'(x)=0?

    • @TheInfiniteLooper
      @TheInfiniteLooper  10 лет назад +1

      Critical numbers are values of x where f'(x) = 0 or where f'(x) is undefined, but f(x) in this video is a polynomial and polynomials are never undefined.

  • @dishantdewit
    @dishantdewit 7 лет назад

    excellent sir

  • @blazer7731
    @blazer7731 3 года назад

    Leaving a comment for myself: 9:00

  • @ahmedbaqi540
    @ahmedbaqi540 8 лет назад

    amazing !

  • @QuyenNguyen-gv7dl
    @QuyenNguyen-gv7dl 7 лет назад

    When we find the y-coordinate , why we don't plug the x=2 into the F" instead of the F ???

    • @TheInfiniteLooper
      @TheInfiniteLooper  7 лет назад

      Quyen Nguyen because we want the y-coordinate on the graph of f. We can't get that from f".

  • @SK-vt3fj
    @SK-vt3fj 6 лет назад

    Very good

  • @suryakrishsaiyan
    @suryakrishsaiyan 9 лет назад

    how can you write intervals including infinity? there could be two or more inflation points where the function's sign could change.

    • @TheInfiniteLooper
      @TheInfiniteLooper  9 лет назад

      +surya krish Points of inflection can only occur in two places: (1) Where the second derivative is zero, or (2) where the second derivative is undefined. The second derivative is never undefined in this example because it's a polynomial. And there is only one point where the second derivative is zero (x = 2). So in this case it is not possible that there are two or more inflection points.

  • @retakaka6967
    @retakaka6967 10 лет назад

    Thnx a lot

  • @mathematicaATD
    @mathematicaATD 6 лет назад

    Excellent

  • @parthsachan1130
    @parthsachan1130 6 лет назад

    Thanks

  • @ahmedaljunaibi7798
    @ahmedaljunaibi7798 7 лет назад

    thank you soooooooooooooo much

  • @miriamaharon9737
    @miriamaharon9737 8 лет назад

    are you wearing the camera on your head?

  • @jeanclaude6284
    @jeanclaude6284 7 лет назад

    Why are we using the second derivative and not the 1st, to find the graphs concavity?

    • @TheInfiniteLooper
      @TheInfiniteLooper  7 лет назад

      Jean Claude because the second derivative is what tells us about concavity. The first derivative doesn't.

  • @imogenii6920
    @imogenii6920 10 лет назад +2

    thnx a lot please

  • @rooneynguyen2967
    @rooneynguyen2967 10 лет назад

    Thank you brah

  • @FFproductions_
    @FFproductions_ 4 года назад

    u rock thank you

  • @abdullahalsubai2176
    @abdullahalsubai2176 6 лет назад

    nice vid man