❖The Closed Interval Method to Find The Absolute Maximum and Minimum ❖

[@patrickjmt]

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[@ryanpinto7316]

Wow, after hours of searching and "studying" this is the first video to fully and easily explain this. Thank you 1,000,000 times over

[@jettechristensen4014]

+Ryan Pinto Are you in high school. Just wondering.

[@stillnessanddusk9777]

I should just be home schooled and watch these all day instead of sleeping in class and losing merits.

[@streaamz1912]

but you wont be watching this if you haven't heard it from class tho. lel

[@slepee2609]

Sadly it's just 6 years old you not focusing in class but instead focusing here 🤡

[@ashleykeown7908]

GOD LOVE YOU FOR MAKING THESE VIDEOS!!! I am in an online Calculus class and her videos are a waste of time! I cannot understand anything from her videos so I just find yours. You explain this so well thank you for all your help THANK YOU THANK YOU THANK YOU!!!

[@Kar76060]

My Calculus and overall math knowledge keeps improving every time I finish watching a video. Thanks sir.

[@jazz4209]

And they say old math videos never help. This was absolutely wonderful, thank you so much!

[@ArabianBaller91]

You are my key to acing my calculus final on Thursday! Thanks!!

[@MShazarul]

Did you ace thou

[@laythgharbia5099]

hoping this will be me right now

[@MeshTheSnake]

Why go to class when partrickJMT exists. You are an absolute life saver, thank you so much!

[@Westonpierce34]

This helps a lot because I have a test tomorrow.

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I'm 6 years late, but I hope you aced it!

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I thank the Gods that I found your account. You're saving my life right now Patrick! Thanks a million for your awesome content.

[@CarlosHernandez-xo7js]

I got a 95 in my last calculus exam and I feel that I have to thank you for this video that helped me a lot Thanks dude :)

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PatrickJMT= G.O.A.T.

[@krkic09]

You explain everything so well. I appreciate all the videos you make so other people can learn at their own pace. I have certainly learned from you since I started watching your videos. Thanks and keep it up.

[@harisbaig8701]

very well explained! the way i break it down, 1- f'(x) 2- find critical points by setting it to zero. 3- check if the critical number lies between the given bracket. let say [-4,4] is given and the critical value came out 0, we can save it but any number outside the numbers in the closed bracket, simply avoid! 4-plug the critical number and the bracket numbers in the original function. 5- whatever the number comes out, is the abs max and min.

[@willmontague7972]

take a shot every time he says simply

[@juliahicksfav]

patrckJMT has gotten me through the entirety of my academic math career. From high school to university. much love!

[@TonyAKA30]

I hate myself for not watching these videos earlier. I could have Aced my midterm but now I have to depend on my final. You are one of the greatest KZbinrs.

[@patrickjmt]

@Exzi yes, nothing crazy. someone i was working with yesterday needed an extra example though, so here it is !

[@STARLDK]

wow very clear and understanding.. i have the worst ap cal teacher ever from our school who doesn't teach anything....seriously... Thank you so much for helping us out! :)

[@qqiyoshi]

12 years in the future and this helps so much! Thank you for the wonderful explanation.

[@harvardgirl85]

You're pretty much a God, you have helped me so much in math and I really appreciate it. I know that there are like a million other people who watch your videos who feel the same way. Thank you so much, and keep being awesome! :)

[@rachelswance7392]

This helps so much! Thank you!

[@PassionateSaksham]

Finally Tommrow Is My CBSE Activity Exam I Can Give It Freely Thanks Now I Can Also Answer The Viva Questions Which I Was Feared off Hats Of To You Partrick Sir Thanks Again 😄😄😄

[@Dan_the_Druid]

Thank you so much, this made my homework a lot clearer.

[@acissej821]

Pretty sure you just saved my calculus grade, and for that you are my hero.

[@virtuosoikingpin]

They need to fire my calculus professor and just show your videos for the scheduled class meetings. They would be shorter, and we would actually learn. Keep up the amazing work. You're the reason why I didn't fail calculus xD.

[@thestrangepirate]

This dude is such a boss. Getting me through calc

[@valhernandez4247]

you sir have helped me pass my calculus final! THANK YOU!

[@bronsonhall1435]

You actually explained this a little better that my calc teacher. No disrespect to her of course! :)

[@7032jd]

Dude you make me scared. Like i feel like any day you're gonna just stop making these amazing vids. like it's too good to be true or something haha dude you saved my life please continue i need you for ap calc senior year!! haha

[@TheMAKclub]

You are a life saver! I have a chineese calc. teacher that goes way to fast for me not to mention the accent!

[@loremisoo]

Thank you, my teacher didn’t explain this very well but you made it easy!

[@kindaamazing3796]

Thank you so much sir .you are great .your method of teaching is much much easier than my calculus teacher.please post some new videos on functions.

[@donovanso94]

Thank you so much! Only if I knew about these videos when I was in high school, I think I would have done a lot better in college. My high school teacher only taught us how to do computations, and that's all!

[@ishashaban9321]

Thank god i found you before the new semester!

[@personc4638]

ANYWAYS I AM VERY THANKFUL FOR YOUR VIDEOS. I'M REGAINING HOPE FOR CALCULUS AGAIN

[@patrickjmt]

@SparkleeSapphires well, technically there is still only one absolute maximum cause we are concerned with the y value.

[@patrickjmt]

@BYMYSYD you are very welcome

[@patrickjmt]

there can only be 1 absolute max and 1 absolute min. there can also be lots of local max / mins. it depends on the problem.

[@mark1566]

This guy is an absolute hero!!

[@strongst0rm]

Thanks for making all of these videos, hopefully i will do well on my math final thanks to you.

[@BYMYSYD]

wow, we were just doing this in class. Thanks for the help

[@gabegransden]

Anyone here in 2020 (March 17th 2020 is when I’m here) because your calc/other-college(or school) classes got switched to online because of the Coronavirus (Covid-19)?

[@john.michael01]

Good man saving me a day before my calculus final

[@kagisodipheko3098]

THANK YOU SIR I really needed that....

[@13116Jennifer]

I literally love you. Thanks!

[@rocholio1053]

I find this to be the easier calculus I’ve studied so far. Great video

[@goshbaby8531]

Thank you so much, ur explanations r so simple!

[@sjard97]

I prefer these vids but my teacher shows us khan ones.

[@sufian4094]

Samantha Jardeleza khan Academy sucks, the Khan guy does not know how to teach and in most cases he will make you even more confused about the topic!

[@Supadupatight]

sufyan amhMD I don't find that to be true. Khan targets his lessons around concepts and theories of calculus, so you understand where the topic derives from. I favor Patrick's videos solely because he shows you how to work the problem. For some, understanding calculus conceptually isn't a priority.

[@jayceinfinitealgharhythmns9814]

sufyan amhMD I actually have to agree with you! I really don't care to watch or use Khan Academy... He means well but I'm left befuddled sometimes after viewing him.

[@patrickjmt]

Samantha Jardeleza tell your teacher that it should be pjmt in the class and to also give me his/her paycheck.

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Lol your message is a bit late patrickJMT​, I already graduated.

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I'm going to get an A on the next exam thanks Patrick.

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OMG THANKSSS, your explanations are so clear!

[@rdnetala]

Have a test in 2 hours, thanks for the help!

[@patrickjmt]

good luck!

[@rdnetala]

Thanks!

[@zaqmpl]

you are my new best friend! :) thank you!!!!!

[@kelvingurupira6075]

Thanks man. God bless you

[@patrickjmt]

@sanjor8r ya (when i get time), but if you can be more specific, that would be great! there is a ton of stuff to cover in both of those subjects. (i wish all i had to do was sit around and make videos!)

[@ryansahwell7119]

Thank you Patrick.

[@Justfabi1]

I think I just may pass my Calc final tomorrow :) Thanks!

[@hannanbaig7888]

Is this also called the extreme value theorem?

[@TheCynthiaQueen]

I am so blown I didn't watch this yesterday. It took me six hours to do my math homework and I still only got a ninety. Hopefully I'll get a hundred on my quiz after watching this. Regardless it is still helpful.

[@edoloman24]

I give you a function, find it's critical values, then plug both the critical values and the endpoints into the original function. The lowest and highest values for y comply if my teacher is giving me this question is this the same thing you jsut explaine or is the highest and lowest for y something else than max and min

[@kenboardrow467]

Awesome explanation. Thanks.

[@patrickjmt]

happy to help :)

[@internationalremixes6440]

just 9 mins and half day panic moments is saved!!!!

[@armandogonzalez5140]

you could have more than one absolute max if two x values had the same y value (which happened to be extrema) on a closed interval, such as a parabola, right? By the way, great videos. They help a lot, thanks.

[@noork85]

god, how i do love u! i'd be failing calc if it werent for u. so far im acing it. thanks

[@ipektashkin8607]

thank you thank you, this was so helpful!!

[@orenjiReichanchoco]

I have a test in 2 hours. You just saved my ass

[@MA1102R]

thank you. this really helps

[@fakhruddin1040]

Dear sir thank you for the videos, extremely helpful. How we can find minima of sphere function?

[@husainalsalman5549]

it's helpful. Thank You!

[@armanaugusto2598]

Very helpful video. Do you have any videos for open interval method to find absolute maximum and minimums?

[@patrickjmt]

you just use derivatives. there is no promising there are absolute max / mins on an open interval though.

[@kawaii8272]

patrickJMT you always here for the best and the worst. 😭😭😭 You definitely the perfect man. Thx

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Why go to calculus lectures when there's patrickJMT vids on KZbin lol

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attend class, patrickjmt will give u clarifications

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i like your videos man!!! i also need for small rate changes..

[@shrimpospy]

Thank you so much! I get it now!

[@jabulanimolefe9395]

you are a darling... your vidz helped me so much with my test. Thank you very much. mwaaaaaaaaaaah

[@moustaphahassabou1]

Thank you for the info

[@rania1619]

dear patrick what about open interval infinity ??? abs.Max. and Min case

[@d23pieper]

what if one of your critical points is on the endpoints of the interval...do you include them??

[@jonathanholt229]

well put, thank you

[@pspiso123]

what will we do if there is a undefined point?

[@rahmataliyar9433]

thank you so much for the videos really usefull

[@NauTzZz]

if I found 1 abs max and 1 abs min in the interval. does it mean there are no local max and min?

[@nenkosuro5439]

Thank you so much

[@akashkori4693]

Thank you

[@personc4638]

so a cusp can still be an absolute maximum even if it doesn't have a derivative?

[@petersmith7494]

how did you get the derivative in the problem x^2-4/x^2+4

[@bridg90]

Awesome video man!!! Please keep it up, this is just my first math class of many, and i've learned more from you in the last 10 min than from my Professor in the last 3 weeks!!! Liked for sure!

[@PhillipBroussard]

Is extrema another word for Maxima and minima?

[@rishabhsabu2937]

this was very informative....you know

[@azumpozum]

How would you do this if it didn't give you the original equation?

[@kindlygentleman]

thank you so much! your amazing

[@TwisTeD913]

How would I get the coordinate? -1 and 3/5 is x or y

[@stopusingthis9724]

What if the function is always increasing, but has a shelf somewhere in the middle. It will show up as a critical point, but it isn't a max/min of any kind.

[@gendrygaming9062]

how can you solve a problem like this w/o any given interval??

[@purplepickleman6172]

you are a god

[@epicwinningcod]

what if a maximum or minimum is not at one of the end points?

[@ZSk8er12321]

I usually understand what you say in your videos. But what if once you took the derivative there was no x? Like in 2/3x-5. The derivative makes the X disappear. So what would be the critical points be and how would you find the absolute max and min?

[@jayceinfinitealgharhythmns9814]

There wouldn't be one because the equation you have is a straight line. Its max and min would simply be plus and minus infinity! hopes this helps!

[@eMarquez172]

Your awesome man

[@dslhummer2002]

Thanks a lot!

[@fcnator]

what if the closed interval has parenthesis like (2,0) please answer!!!!!!!!!!!!!!!!