Second Derivative Test

[@TheOrganicChemistryTutor]

Derivative Applications - Formula Sheet: bit.ly/4eV6r1b inal Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/fZmXaZSFq7yWrtk

[@mrfatboy327]

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]

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

[@jamien.5528]

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

[@undercoverelle]

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]

@@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]

Try putting your phone to the side.

[@leahc3846]

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]

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

[@rhuno7537]

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

[@manavgupta2059]

@@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]

@@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]

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

[@alexcoutinho1128]

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

[@viragkatai_urban6790]

Same bro

[@nathanclements787]

@@viragkatai_urban6790 my teachers handwriting is unreadable..

[@gregcandy8900]

The hero we need but dont deserve

[@kaiyabou]

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

[@kaiyabou]

Katlo Oleteng passed the class thankfully.

[@amintimani6034]

final in 5 hours :D

[@pranaym69]

lol same midterms in half

[@ruairiwalsh5314]

@@kaiyabou bit late but well done

[@GSDKXV]

This generation is so lucky

[@brianbc4]

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

[@superlife9307]

What happened with your grades

[@brianbc4]

@@superlife9307 I passed it with 87%

[@FavouredElm2]

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

[@brianbc4]

@@FavouredElm2Wish you all the best!

[@Omar-ic3wc]

Great job!! My compliments man

[@KaletheQuick]

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!😊

[@julissaarias341]

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 :)

[@gracedouglas6031]

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]

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]

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

[@ian.ambrose]

@@lant7 Yeah makes sense.

[@jiskoboutv7460]

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........

[@asifsal7124]

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

[@divyanshiupadhyay513]

We all wonder...I did the same😭

[@manavgupta2059]

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

[@marco3391]

bro has a video on everything, legend

[@angelam5649]

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

[@mwalsh5542]

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

[@tanushrih2178]

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

[@ayshaghanawi9941]

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

[@emiliashaw6909]

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]

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

[@ian.ambrose]

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.

[@mohammadismailhossain6435]

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

[@menabrook3214]

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]

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

[@AyeItsFon]

this dude needs to do a face reveal

[@etmaille]

Forreal

[@rabi0246]

why tho

[@AyeItsFon]

a random guy why not?

[@FirstLast-ws7zw]

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

[@Fatma-id1vq]

Indeed

[@sicilianotoronto]

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

[@kewixi]

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

[@sids9551]

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

[@mnmvideos4352]

Helping me not fail first year engineering calc!

[@jeanrenzocaldito4688]

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

[@velo9361]

three words: you are amazing

[@georgesadler7830]

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 KZbin TV with the Organic Chemistry Tutor.

[@azaa2188]

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

[@idaho9479]

Clear, concise, to the point- thank you!

[@kentenfaust3042]

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

[@ryankeshet5820]

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

[@davidm3210]

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

[@beartheburn3863]

Yup

[@ian.ambrose]

That's very cool.

[@redshahstar]

Best tutor in the world

[@ahmedzuhair4355]

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

[@done2913]

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

[@daoudhussain979]

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

[@wafa_sh_hds1]

سپاست مامۆستای بەڕێز

[@Alphae21]

goat?

[@Silver-Ag0047]

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

[@jamien.5528]

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

[@ChrisJunio.211]

Thanks alot you made me understand well well

[@shahsifat3220]

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

[@yagzyalcntas553]

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

[@PHILLYMEDIC69]

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

[@user-fn4ds7zm1i]

Highest score on mcat is 528.

[@josh1234567892]

Z_Boss_23 so then he probably could score a 100

[@quinnjones2886]

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

[@GoScience123]

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

[@VasHappenin7107]

GOD YES

[@JrMoreno88]

Makes math that much extreme. Like I'm trying to hack something

[@hisyamhasbi8257]

Who's that guys

[@metawhirl4609]

That's lame

[@djs9931]

Thanks man, really helped.

[@speconcloud9]

This GUY Deserver Respect and LUV 110%

[@nadineruiz5859]

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

[@dougallan9514]

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

[@beartheburn3863]

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...

[@sarashaikh2018]

Thank you so much sir.. It helps me lot

[@jakapockaj2034]

great video, simply explained👍

[@Matt-sg1kx]

Nice explanation

[@mahmoudnadi1992]

Watching this 30 min before my midterm 😂😭😱

[@beartheburn3863]

Watching 2 days before my finals ....

[@arinalexus7556]

Watching the day before

[@tinyade.s]

Yes this video helped!! Thank you

[@yahyaekin8072]

Every hero does not wear cloak, thanks a lot.

[@deidei2305]

Great vid and explanation

[@booktalk8205]

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

[@TheWizard856]

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

[@imnobody101]

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?

[@sllanguageschool147]

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

[@noellemichaelabalbuena8127]

Thank you Sir.

[@CourageKubi]

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

[@sewind6613]

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.

[@sb19dugyot63]

What if there is the same sign in critical number?

[@ozymandias1389]

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

[@Abdifattah214]

Thanks

[@鸡腿塞牙]

4:01 / 12:47

[@jameow4890]

Thanks

[@c1kada873]

what if the 2nd derivative is a constant?

[@stringbeanplepeda1632]

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

[@napkinshoplifta5163]

Love this guy

[@donnearendse5645]

Thank you🙏🏽

[@ishaperry8878]

you are amazing

[@alessandrolagi2147]

THANK YOU SO MUCH!!

[@ArunKumar-yb2jn]

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

[@gokul_2810]

Thankssss a lotttt mann 🥺❤

[@yeshuevsr4452]

Gr8 work

[@mosup5007]

I was looking for the reason why

[@trishsithole122]

you are the bomb!!! thank you so much

[@ElifArslan-l9g]

thank you

[@Crisss36]

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

[@subratprasadnayak6195]

Thanks you so much...

[@czarinc.6971]

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

[@ts37924]

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?

[@vaiebhavpatil2340]

He: now it's ur turn Me: YASS😎

[@abdullahawan6224]

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

[@uditsaxena3844]

thanks alot

[@janieli]

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?

[@Himawari_.]

thank you soo much

[@PHILLYMEDIC69]

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

[@sunny.b4213]

yessir

[@sumantapanigrahi3765]

You just save me

[@chrismartin1993]

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 ?

[@arjansingh8289]

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

[@HAD00F]

bro my teacher made us make a whole table… i was mad confused

[@headyshotta5777]

"In this video"

[@fatusopp4739]

thx bbg

[@dhanma3953]

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

[@JKMath]

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: kzbin.info/www/bejne/n6uwiWitrZyNorM