Concavity, Inflection Points, and Second Derivative

This calculus video tutorial provides a basic introduction into concavity and inflection points. It explains how to find the inflections point of a function using the second derivative and how to find the intervals where the function is concave up and concave down using a sign chart on a number line. When the second derivative is positive, the function is concave up which means the first derivative is increasing. When the second derivative is negative, the function is concave down which indicates that the first derivative is decreasing.
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

[@TheOrganicChemistryTutor]

Next Video: czcams.com/video/G8GAsYkZlpE/video.html
Final Exams and Video Playlists: www.video-tutor.net/

[@derreck1149]

O

[@symonequinzon6384]

10 min vid> 10 hours of discussion.
Thank you sir.

[@HikmatShahi-to3vk]

❤

[@edgarrubio5231]

organic chem, physics, and now calculus. id give you my tuition money if i your videos have made my life much, much easier

[@Belle-is9hu]

I'm watching all the ads to their entirety because this man needs it. He's saving my Calculus grade, so he deserves the revenue.

[@PhuongNguyen-gx6ez]

I think if u click in the ads, he will get more money.

[@schoolofenlightenment8449]

Can skipping ads decrease amount?

[@rubiebenke3071]

On god

[@mact.4778]

No cap

[@RaffaelloLorenzusSayde]

Stop honoring him 👍

[@nononono-lm8id]

This guy is literally a god. Saves so many lives. Think about how much this man has contributed to society by helping so many people and helping people achieve their goals! Thanks JG

[@jafernoorani2190]

Thank you so much. You have really saved my life. I am a senior taking AP Calc but I have been watching your videos since geometry and I honestly wouldn't be where I am today if it wasn't for your videos. thank you man much appreciated

[@dalaibrahim]

same, currently. did you get a good score?

[@abdulharrison4380]

I'd like to meet you Sir. You're a god of a teacher.

[@ddahstan6876]

Reading textbook material puts me to sleep honestly. This man's writing the textbook for us interactively and concisely. Many of us can't thank you enough!!!

[@sierra117420]

I actually love you man. Your videos have been extremely helpful even when I'm in 2nd year Uni and have to revise basic concepts in as less time as possible.

[@ayansuleymanova03]

I just wan to thank from the bottom of my heart! I watched all calculus 1 videos and to revise everything what I have learned so far at university and you videos really helped me a lot in the last a few days. you are AMAZING!

[@Berserkerishim]

Thank u, got 100% for my calculus test bcoz of uu

[@GGW34]

I am sick and in pain, I am tired, and I have calculus and chemistry tests tomorrow, and I might also have a West Civ test too (trust me, that's the hardest one, that teacher is a sociopath). You are literally the only reason why I am not dropping out of high school rn.

[@BenedictAppiah-sd1ep]

Have u now completed?

[@Enter54623]

Thanks for this, haven’t watched the video but the thumbnail is enough for me to sure I got the question right on my calc final lmao

[@yeabsraamare6615]

you made all the subjects not like science but pure ART! That is the kind of instructors this world needs

[@senkaletemitope1915]

All our tuition should go to this guy and not some boring teachers in school.

[@user-ov4so9ty9d]

The home of team last minute 😂🫡you deserve a medal Sir 👏

[@tanzimtihan9686]

You're a real life hero, salute

[@golammashrafilabib3192]

Watching this before my mid term exam! To the point explanation! Thanks.

[@real.rafi.ahamed]

thank you so much for this free teaching
it saved my calculas grade

[@braydonpaulse]

Much love and more life to this legend. Thanks for making me pass calculus.

[@annashaji3267]

Thank you sir for teaching this topic within few minutes....its is really helpful in this quarantine time...once again thank you so much

[@karinaburgess3989]

LITERALLY BEST RESOURCE OUT THERE FOR MATH.

[@littleWormGirl]

i hope you know how much of an impact these videos make! You're the reason I'm passing calculus :-)

[@rakeshkhanna7253]

I was able to understand well the lecture fairly well. Thanks!

[@alondram.colonvega812]

You're videos always hit the points i have doubt in, how do you do it? I don't know but you out here saving me, man. Thank u so much!!

[@akshattomar6100]

this guy is just insane, saves from from falling apart many times.....

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for a solid analysis and deep explanation of Concavity, Inflection Points and the Second Derivative Test in Calculus One. Solving problems will only increase my overall knowledge and understanding of this material in Calculus. This is an error free video/lecture on CZcams TV with the Organic Chemistry Tutor.

[@anigadariya1524]

I’d pay you instead of my math college professor dude, thank you so much

[@chenliang1112]

my calculus teacher is good at explaining things, but you're even better👍

[@cybersegs]

Man you deserve billion dollars for your service

[@musicatation2254]

You are the best sir,you’ve taught me more than college

[@articcircleado]

Thanks again --- Seriously I really appreciate your help.

[@angel.diaz22]

I have a B in Calculus right now because of him. Thank you for everything!!

[@jareenc6066]

this man single handedly saving my college grades

[@ManoOorii]

you're literally my savior

[@hamoodibeats1944]

Thanks mann!! Easy and cool way of explaining, despite our clowns in the university 😂🙌🙌

[@pratyush2331raj]

Thankyou Sir for your wonderful, helpful, short-videos....😯😮
It helps me a lot....😊

[@nadiahulwat.1788]

Thank you so much for sharing your knowledge, i appreciate it so much sir.

[@user-cf9hk3us2r]

أسأل الله العظيم أن يرزقك جنة حسن الخاتمة ويرضى عنك.

[@PodcastsShorts69421]

You are honestly a life saver

[@vhbeghini]

Dude your videos are excelent, really. Thank you so much.

[@lilithasotondoshe8226]

always clear
thank you Sir.

[@meerabfatima2952]

Great sir.......
U are such a great teacherr

[@FroZenMystic1]

Thanks once again, this video was so helpful.

[@muhammadsohail5373]

Thnkuuuu soooo much sir for making it easy that we can understand .😍😍😍😘😘😘😘

[@bscc181]

If u were teacher from my class 11 I would have cleared jee advance easily

[@batungamilitebelelo666]

THATS A MARVELOUS TUTOTIAL

[@jakodiere8207]

Bro, you have really helped me. Rolles theorem n mean value

[@tobaterja4822]

thank you so much for this great video

[@gavinp7692]

i hope these thankful comments bring u joy.... on that note I am leaving my thanks for saving me in some way, thank you for the hope for possibly passing.

[@no_o1ne151]

I have no words to thank you 😭.

[@pumpkinperson9365]

THE HERO OF MY HW!!

[@anikeshsharma6888]

Great helped me a lot thanks brother
😀🤝

[@zulyc8641]

Thank you so much! Just understood concavity 10 mins before my exam.

[@life_with_aida]

He just made me understand this topic in 12 mins only while my professor took 2 classes...

[@fatima-oy7gk]

You explain things so nicely. I don't even bother taking my calculus classes because I just can't understand my teacher.

[@con-0310]

Love it! Thank you sir ❣

[@nehemiacalixte3289]

you helped me through high school calc and now you’re helping me through college calc, thank YOUUUUU 😭😭😭😭😭

[@redaziada2181]

thank you so much this was so helpful

[@kaweisimbil4678]

Thank you, it helped alot.

[@done2913]

you are saving my grade thank yu so much

[@parthtiwari8413]

You are a life saver man

[@SuperSwagman25]

u explain so well

[@RohanRajBEC]

buddy, u r great , u helped me a lot

[@sarimkhan9519]

Thank you so much man❤

[@lowlesssate1934]

very good teaching.

[@mzhdaa]

thank youuuuu so muchh you are my hero 🥺😍❤️🙏

[@shameemauvais4180]

Most helpfull class👍🏻

[@user-jo3ni7qq1m]

Thank you so much ☺️

[@FunCode123]

Thank you sir!

[@MrSilkor]

I want to thank you

[@jomar1270]

Amazing job

[@shadyappiah99]

thanks very much..Keep on

[@vimbainashemuchuweni1010]

appreciated sir ......many thanks

[@garr6448]

easily the greatest

[@sir2gooo]

These videos are so nice to watch with an OLED display

[@franciscafadairo8106]

Thanks and God bless you!!!!

[@bromaro]

Bro thank you so much

[@atkoamatarp8694]

Thank you for your amazing video.
I have some question.
So, in the last explanation the function is concave down on (1, 5) or (1, 5) except 4?

[@mariozanetti6069]

this guy is a good guy

[@leanna3802]

This is amazing

[@aungkyawphyo4069]

Your videos help my life sir. You saved me for my exam

[@DestructiveDj]

thank u brother

[@silverluck4]

Thank you

[@riazkhan6858]

Fantastic sir god bless you💞💗💖💕

[@Janjo64]

Appreciate this omg

[@throughsarahseyes4408]

I love you. Thank you!!!!!!!!

[@muhammad.husnain6819]

Way better than my math teacher

[@josephryan9063]

Thank you.

[@paulbornaah468]

Thanks a lot🙏🙏🙏🙏🙏

[@bluegrassbassing3790]

Thank you sir

[@alotte_of_anton]

Dude thank you.

[@skylarsword8278]

i love you so much, thank you very much. if someday i earn you sth with my degree i shall send you sth, you truly deserve it, thank you so much

[@levicletux4978]

that's good thanks

[@alizaman8407]

Thank u sir....................

[@Vannen2001]

thank you so much bro my test is in 5 hours and you saved my ass

[@EzzzZZZ___]

you are the G.O.A.T

[@kitkat-xe6nc]

We love you!

[@zakarya569]

watching this before my calc bc test tmrw

[@Emik08_]

thank you very much^10