Second Derivative Test

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  • Опубліковано 20 січ 2025

КОМЕНТАРІ • 227

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +11

    Derivative Applications - Free Formula Sheet: bit.ly/4eV6r1b
    Derivative Applications - Video Lessons: www.video-tutor.net/derivative-applications.html

  • @mrfatboy327
    @mrfatboy327 5 років тому +750

    The problem for me is that I get bored during classes and tend to zone out constantly. These videos are quick and to the point, a sort of TLDR which really helps me with my limited attention span.

    • @jeanrenzocaldito4688
      @jeanrenzocaldito4688 5 років тому +9

      Feel you bro... I did feel myself on your ground, during class you say? 😁

    • @jamien.5528
      @jamien.5528 4 роки тому +5

      SAME. I have no idea if I have adhd or not

    • @undercoverelle
      @undercoverelle 4 роки тому +1

      literally same i started doing online these past two weeks and i havent learned anything and i have my final friday so now im trying to teach myself the last unit

    • @Steve-sz4bh
      @Steve-sz4bh 2 роки тому +5

      @@jamien.5528 You probably do. This is precisely how I was, so I spoke to a psychiatrist and was diagnosed with ADHD. I first tried Ritalin, and It wasn't working for me, but I was young and dumb, so I kept saying it was because I felt it was the only option. Then I finally tried Adderall, and my grades increased, and I started to focus and retain all of the knowledge that was conveyed in my classes. It has significantly improved my life for the better, and I recommend speaking with a psychiatrist asap.

    • @RICHFRVR
      @RICHFRVR 2 роки тому +3

      Try putting your phone to the side.

  • @alexcoutinho1128
    @alexcoutinho1128 6 років тому +168

    These videos are so useful
    I’ve learned more from your videos than my calculus teacher

  • @leahc3846
    @leahc3846 Рік тому +78

    Currently in my fifth and hopefully final semester of college. I just wanted to take second to thank the organic chemistry tutor for getting me this far. Couldn't have done it without you

    • @manavgupta2059
      @manavgupta2059 8 місяців тому +1

      Bruh ya in college and u don't know this? Is ur country's college education so bad?

    • @rhuno7537
      @rhuno7537 5 місяців тому +10

      @@manavgupta2059 whatever man. hating someone for learning won't get you anywhere.

    • @manavgupta2059
      @manavgupta2059 5 місяців тому

      @@rhuno7537 quote me the words where I hated them. I didn't hate them, I hated their country's education system which needs to update

    • @Akshat20007
      @Akshat20007 5 місяців тому +3

      @@manavgupta2059 just because we study these things early in our country doesnt mean our education system is good....india got one of the worst education systems in the world which only focuses on theory and nothing else

    • @Moonlight_76143
      @Moonlight_76143 4 місяці тому

      @@manavgupta2059people tend to forget what they have learned in their early days. Nothing wrong with that dude

  • @KaletheQuick
    @KaletheQuick 7 місяців тому +5

    I listened to this on the way to my calc CLEP test. One question on there was this stuff exactly, and I remembered this vid.
    I passed by one point.
    Thank you so much for all the great videos! I've been watching them for years trying to pass calc 1! And now I have. Thank you so much!😊

  • @kaiyabou
    @kaiyabou 5 років тому +126

    Final in half an hour. Thanks for everything man! 😔✊🏽

    • @kaiyabou
      @kaiyabou 4 роки тому +54

      Katlo Oleteng passed the class thankfully.

    • @amintimani6034
      @amintimani6034 Рік тому

      final in 5 hours :D

    • @pranaym69
      @pranaym69 Рік тому

      lol same midterms in half

    • @ruairiwalsh5314
      @ruairiwalsh5314 Рік тому +2

      @@kaiyabou bit late but well done

    • @GSDKXV
      @GSDKXV 8 місяців тому

      This generation is so lucky

  • @gregcandy8900
    @gregcandy8900 5 років тому +199

    The hero we need but dont deserve

  • @gracedouglas6031
    @gracedouglas6031 5 років тому +20

    You are absolutely amazing!!! Thank you for such short but effective videos. You manage to teach me in 13 minutes what my teacher couldn't convey in a week of class!!

    • @ian.ambrose
      @ian.ambrose 3 роки тому +3

      That's bad lol. Wasting people's time (in this case, the teacher wasting your time) is basically a crime. It's a crime for the education system to pick bad teachers. I don't attend any math class but watching these videos in 2 days helped me theoretically mastered max & min, just a few more practices and I will be good. Basically I saved a whole week compared to you.

    • @lant7
      @lant7 3 роки тому

      @@ian.ambrose They can’t really “save a week” of time though since they’re obligated to go to class anyway lol

    • @ian.ambrose
      @ian.ambrose 3 роки тому

      @@lant7 Yeah makes sense.

  • @manavgupta2059
    @manavgupta2059 8 місяців тому +5

    No smack like, crush subscribe, unprotected share but only pure education ❤❤
    Well done

  • @brianbc4
    @brianbc4 5 років тому +216

    I'm currently taking calculus for the summer and my grade depends on you

    • @superlife9307
      @superlife9307 4 роки тому +2

      What happened with your grades

    • @brianbc4
      @brianbc4 4 роки тому +33

      @@superlife9307 I passed it with 87%

    • @FavouredElm2
      @FavouredElm2 4 роки тому +4

      @@brianbc4 congratulations man.... I have my exams.. Let's see how it goes

    • @brianbc4
      @brianbc4 4 роки тому +5

      @@FavouredElm2Wish you all the best!

    • @Omar-ic3wc
      @Omar-ic3wc 4 роки тому +3

      Great job!! My compliments man

  • @asifsal7124
    @asifsal7124 5 років тому +14

    So why did I start to first hit the "Like" then start watching the video?
    You are the Genius.

  • @julissaarias341
    @julissaarias341 6 років тому +42

    Thanks so much for all these videos, im taking calculus 1 and physics 1 and your channel is my go to for homework help and to study for exam, so far i have done really well, so thank you again :)

  • @marco3391
    @marco3391 Рік тому +3

    bro has a video on everything, legend

  • @jiskoboutv7460
    @jiskoboutv7460 6 років тому +11

    this guy is a Pro.. I hope that you have a nice job ,,,,,,, cause you are really brillant... you explain everything calm and right
    thanks a lot man........

  • @ayshaghanawi9941
    @ayshaghanawi9941 3 роки тому +1

    You have no idea how many people you've helped with your videos. You are truly a blessing from God! God bless you :'D

  • @ysfNaeem
    @ysfNaeem 9 днів тому

    🎯 Key points for quick navigation:
    00:12 *📈 Relative maximum occurs where the first derivative is zero, and the second derivative is negative (concave down).*
    01:13 *📉 Relative minimum occurs where the first derivative is zero, and the second derivative is positive (concave up).*
    02:17 *⏰ To find critical numbers, set the first derivative to zero and solve.*
    02:32 *🤔 Factor the derivative to solve for critical numbers.*
    03:14 *✍️ Calculate the second derivative to assess concavity.*
    03:40 *🔍 Sign chart helps visualize concavity changes around critical numbers.*
    05:08 *🧪 Test points can determine concavity without a sign chart.*
    06:30 *📝 Confirm second derivative test results with the first derivative test.*
    09:00 *📌 Determine and verify critical numbers and their concavity for accurate extrema identification.*
    11:42 *✅ Second derivative test results align with first derivative test confirmation.*
    Made with HARPA AI

  • @angelam5649
    @angelam5649 5 років тому +7

    I have a test on this stuff and you are a life saver honestly

  • @mwalsh5542
    @mwalsh5542 3 роки тому +4

    I help my daughter with math and your videos help tremendously. Thank you.

  • @tanushrih2178
    @tanushrih2178 3 роки тому +3

    I've said this once, I'll say it again, this dude is a life saver ✋

  • @menabrook3214
    @menabrook3214 2 роки тому +5

    Thank you soooooooooo sooooooooo much for these videos. They are extremely helpful and ive been able to understand the concepts and topics more. The way you teach is so organized and neat I am able to stay focused and I actually engage with the examples you do and do it on my own and then fact check.

  • @intisher9363
    @intisher9363 5 років тому +1

    you are the reason i am still chill while tomorrow is my mid.love you .carry on

  • @emiliashaw6909
    @emiliashaw6909 3 роки тому +1

    These videos have helped me get As in high school Chem 11/12, Pre calc 11/12, Calc 12, physics 12 and now uni calc 1 and physics 1

  • @widerule1686
    @widerule1686 3 роки тому +3

    I paid $400 for the calculus class im taking now. you deserve that money more than the school does.

    • @ian.ambrose
      @ian.ambrose 3 роки тому +1

      He has a Patreon that I'm sure has more hardcore contents up there. It sure is more beneficial buying his classes than any other classes out there.

  • @sicilianotoronto
    @sicilianotoronto 11 місяців тому

    Thank you for calming my nerves and saving me hours of wasted study time!

  • @sids9551
    @sids9551 2 роки тому

    This guy is a life saver for my calc class right now

  • @AyeItsFon
    @AyeItsFon 5 років тому +564

    this dude needs to do a face reveal

    • @etmaille
      @etmaille 5 років тому +8

      Forreal

    • @rabi0246
      @rabi0246 5 років тому +41

      why tho

    • @AyeItsFon
      @AyeItsFon 5 років тому +5

      a random guy why not?

    • @FirstLast-ws7zw
      @FirstLast-ws7zw 5 років тому +107

      @@AyeItsFon You don't have to see his face to understand his content

    • @Fatma-id1vq
      @Fatma-id1vq 5 років тому +1

      Indeed

  • @ryankeshet5820
    @ryankeshet5820 5 років тому +2

    You are such a good teacher and helper. I subbed.

  • @mohammadismailhossain6435
    @mohammadismailhossain6435 2 роки тому +2

    2nd derivative -ve → concave down→relative maximum
    2nd derivative +ve → concave up → relative minimum
    👌

  • @idaho9479
    @idaho9479 3 роки тому +3

    Clear, concise, to the point- thank you!

  • @kentenfaust3042
    @kentenfaust3042 3 роки тому +3

    I watch these before all of my calculus tests, and trust me, he’s the only reason I’m passing.😂😂
    Thank you very much!

  • @georgesadler7830
    @georgesadler7830 Рік тому

    Professor Organic Chemistry Tutor, thank you for showing students/nonstudents How to use /apply the Second Derivative Test to find Relative Maximum/Minimum at a critical point in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @mnmvideos4352
    @mnmvideos4352 6 років тому +11

    Helping me not fail first year engineering calc!

    • @jeanrenzocaldito4688
      @jeanrenzocaldito4688 5 років тому

      Uhhhmmm... Just wanted to support you bro. Let's hang up our BEGGING banner, will ye? 😂🤣

  • @ahmedzuhair4355
    @ahmedzuhair4355 4 роки тому +4

    Thank you sir it was very much helpful for me. I was troubling with this topic.

  • @done2913
    @done2913 2 роки тому

    you are one of the greatest teacher. thank you so much it helps me alot

  • @kewixi
    @kewixi 6 місяців тому +3

    thank you mr daily dose of internet math edition for teaching me calc

  • @redshahstar
    @redshahstar 3 роки тому

    Best tutor in the world

  • @velo9361
    @velo9361 4 місяці тому +2

    three words: you are amazing

  • @daoudhussain979
    @daoudhussain979 3 роки тому

    Your channel name should have been CALCULAS TEACHER. Great content man!

  • @yagzyalcntas553
    @yagzyalcntas553 4 роки тому +1

    I am at 1:08 and already had all my answers thank you :D

  • @dougallan9514
    @dougallan9514 4 роки тому +6

    So what is the benefit of using the second derivative test vs the first..?

    • @beartheburn3863
      @beartheburn3863 4 роки тому +3

      After putting the critical values in the second derivative if f"(c) = 0 then we go back to first derivative test ...
      Actually both tests are used but it depends on you which one to use ....
      Well I would say learn both the tests because you could be asked to apply any one of them
      Hope this helps...

  • @davidm3210
    @davidm3210 5 років тому +4

    The first derivative test for extrema, and the second derivative for inflection points seems more intuitive to me.

  • @quinnjones2886
    @quinnjones2886 2 роки тому +3

    Can you do some examples with trig functions? Use the second derivative test to find local extrema of a sine or cosine function
    ?

  • @djs9931
    @djs9931 4 роки тому +2

    Thanks man, really helped.

  • @jamien.5528
    @jamien.5528 4 роки тому

    Thank you so much your videos make math so easy to understand

  • @jakapockaj2034
    @jakapockaj2034 Рік тому

    great video, simply explained👍

  • @sllanguageschool147
    @sllanguageschool147 11 місяців тому

    If we can easily find using 1st derivative test, why we need second derivative as well?

  • @wafa_sh_hds1
    @wafa_sh_hds1 2 роки тому

    سپاست مامۆستای بەڕێز

  • @sb19dugyot63
    @sb19dugyot63 3 роки тому +2

    What if there is the same sign in critical number?

  • @janieli
    @janieli 3 роки тому

    at 1:37, if f’(c) = 0 and f’’(c) is just the slope of the derivative at x value of c. why isnt f’’(c) just equal to 0?

  • @speconcloud9
    @speconcloud9 4 роки тому

    This GUY Deserver Respect and LUV 110%

  • @ChrisJunio.211
    @ChrisJunio.211 10 місяців тому

    Thanks alot you made me understand well well

  • @allaboutplanes5132
    @allaboutplanes5132 27 днів тому

    If we can determine the concavity by doing the first derivative test (with number line), whats the point of second derivative test then?

  • @azaa2188
    @azaa2188 9 місяців тому

    1. Find critical numbers (F'=0)
    2. Find out scond derivative (F'') at those critical points

  • @sarashaikh2018
    @sarashaikh2018 2 роки тому

    Thank you so much sir.. It helps me lot

  • @deidei2305
    @deidei2305 4 роки тому

    Great vid and explanation

  • @khaulahadi560
    @khaulahadi560 2 місяці тому +1

    Now THIS is how u teach MATHS!!!!!

  • @imnobody101
    @imnobody101 11 місяців тому

    To find the actual point of the extrema, would we plug our x value that we got from the second derivative test back into the first function?

  • @ozymandias1389
    @ozymandias1389 Рік тому

    Why is the 2nd derivative negative with a relative maximum and positive with a relative minimum, and what happens if the 2nd derivative is 0

  • @GoScience123
    @GoScience123 6 років тому +51

    Bro I feel like I'm being taught math by Mark Wahlberg lmao

  • @c1kada873
    @c1kada873 10 місяців тому

    what if the 2nd derivative is a constant?

  • @ArunKumar-yb2jn
    @ArunKumar-yb2jn 2 роки тому

    But how this connected with the main function? Explanation is not clear on that part.

  • @tinyade.s
    @tinyade.s Рік тому

    Yes this video helped!! Thank you

  • @Matt-sg1kx
    @Matt-sg1kx 2 роки тому

    Nice explanation

  • @Silver-Ag0047
    @Silver-Ag0047 3 роки тому

    This stuff just doesn't register when im in class, thanks for the to the point explanation

  • @gokul_2810
    @gokul_2810 Рік тому

    Thankssss a lotttt mann 🥺❤

  • @ts37924
    @ts37924 Рік тому

    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?

  • @sewind6613
    @sewind6613 7 місяців тому

    I understand the calculations. What I don't understand is why, when I graph the equation in Geobegra, that a turning point appears to be (-3, -26) and not (-2,-15). Anyone can help me to understand? Thank you.

  • @ishaperry8878
    @ishaperry8878 5 років тому +2

    you are amazing

  • @trishsithole122
    @trishsithole122 4 роки тому

    you are the bomb!!! thank you so much

  • @napkinshoplifta5163
    @napkinshoplifta5163 4 роки тому

    Love this guy

  • @czarinc.6971
    @czarinc.6971 Рік тому

    ok but how would you do it with a rational???

  • @donnearendse5645
    @donnearendse5645 2 роки тому

    Thank you🙏🏽

  • @TheWizard856
    @TheWizard856 2 роки тому

    I love how your advertisements are made redundant by your excellent Math tutoring skills. LOL!

  • @CourageKubi
    @CourageKubi 6 місяців тому +1

    I'm sure we are plenty here watching 5yrs ago video 😊

  • @alessandrolagi2147
    @alessandrolagi2147 4 роки тому

    THANK YOU SO MUCH!!

  • @chrismartin1993
    @chrismartin1993 4 роки тому

    Trying to find the inflection point of an equation of curve. y=5.075e^(.2136x). equation goes from positive to negative. I have a lot of these to do so would like an online calculator. Can you point me in right direction. Did I give you enough information ?

  • @PHILLYMEDIC69
    @PHILLYMEDIC69 6 років тому +1

    so you can only do this if you have critical numbers?

  • @noellemichaelabalbuena8127
    @noellemichaelabalbuena8127 3 роки тому

    Thank you Sir.

  • @arjansingh8289
    @arjansingh8289 4 роки тому

    What if f'(c) = f''(c)? Would that mean that there are no relative extrema?

  • @PHILLYMEDIC69
    @PHILLYMEDIC69 6 років тому +9

    i bet this guy can score 100 on an mcat...

    • @user-fn4ds7zm1i
      @user-fn4ds7zm1i 5 років тому +1

      Highest score on mcat is 528.

    • @josh1234567892
      @josh1234567892 5 років тому +7

      Z_Boss_23 so then he probably could score a 100

  • @shahsifat3220
    @shahsifat3220 2 роки тому

    My classmates failed after attending all classes.I with just watching 8 videos from this channel Top the class with zero Attendence

  • @nadineruiz5859
    @nadineruiz5859 4 роки тому

    MY TEACHER DID NOT TEACH ME ANYYY OF THIS. THANK YOU!

  • @abdullahawan6224
    @abdullahawan6224 2 роки тому

    What to do incase if double derivative gives 0 at critical points.

  • @yeshuevsr4452
    @yeshuevsr4452 Рік тому

    Gr8 work

  • @SubOptimal_
    @SubOptimal_ 2 місяці тому

    thank you!

  • @yahyaekin8072
    @yahyaekin8072 5 років тому +1

    Every hero does not wear cloak, thanks a lot.

  • @mahmoudnadi1992
    @mahmoudnadi1992 5 років тому +8

    Watching this 30 min before my midterm 😂😭😱

  • @Himawari_.
    @Himawari_. 6 років тому

    thank you soo much

  • @ElifArslan-l9g
    @ElifArslan-l9g 4 роки тому

    thank you

  • @vaiebhavpatil2340
    @vaiebhavpatil2340 5 років тому +3

    He: now it's ur turn
    Me: YASS😎

  • @subratprasadnayak6195
    @subratprasadnayak6195 6 років тому +2

    Thanks you so much...

  • @stringbeanplepeda1632
    @stringbeanplepeda1632 2 місяці тому

    I always end up watching the first 30 seconds and then leaving cuz I understand perfectly lmao

  • @jameow4890
    @jameow4890 Рік тому

    Thanks

  • @uditsaxena3844
    @uditsaxena3844 2 роки тому

    thanks alot

  • @booktalk8205
    @booktalk8205 2 роки тому +1

    I’m pisssed that I’ve been doing this the harder way

  • @Abdifattah214
    @Abdifattah214 Рік тому

    Thanks

  • @dhanma3953
    @dhanma3953 3 роки тому

    Can someone explain to me how 4x cube become 12x squared and 6xsquared become negative 12x i really suck at math

    • @JKMath
      @JKMath 3 роки тому

      He was using the power rule for derivatives. You may want to look up a separate video to learn that topic first before continuing (you can look for one of his videos, or you can check out mine which I will have linked at the end of this comment). But for the example in this video that you are referring to, the derivative of 4x^3 is done as follows: Multiply the function by the exponent, 3, and then subtract one from the exponent. So you will have 3*4x^(3-1) which then is equal to 12x^2 if you simplify it. The same thing would happen for 6x^2. Hope this helps, and here is the link to the video I mentioned earlier: ua-cam.com/video/izMX5wx7ZlQ/v-deo.html

  • @鸡腿塞牙
    @鸡腿塞牙 Рік тому

    4:01 / 12:47

  • @redgefleming1535
    @redgefleming1535 6 років тому

    Is it possible to get 3 critical points and 2 inflection points?

    • @jamaiya7
      @jamaiya7 6 років тому +1

      redge fleming yes!

    • @tortillajoe
      @tortillajoe 6 років тому +3

      Any function can have any number of either.

  • @Crisss36
    @Crisss36 3 роки тому

    I guess it’s a massage into mental math... I can visualize quadratic fn. on all quadrants unless I forget