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How to Solve ANY Optimization Problem [Calc 1]
Рет қаралды 546,895
Күн бұрынOptimization problems are like men. They're all the same amirite?
Same video but related rates: • How to Solve ANY Relat...
@slimeball4l540 3 жыл бұрын
The derivatives thing and that stuff is fine, but it's just creating the equations that's so hard for me
@johncena3022 2 жыл бұрын
exactly my problem too... finding the critical points are the easiest parts of optimization imo
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@CocoaThunda 2 жыл бұрын
@@johncena3022 Never would I have thought the hardest part of calculus for me would be reading and Algebra....
@stanleypickering7750 Жыл бұрын
@@CocoaThunda so true
@5gallonsofwater495 10 ай бұрын
I suffer from the same problem... I feel like its because we overthink that we get something wrong. But even if we try our best to not overthink, we'll end up being paranoid about if we are/aren't overthinking that we will end up overthinking anyways.
@quill404 2 жыл бұрын
In calculus there are two things I gave up on learning, related rates and optimization. No matter how much time I spent on them I never got it right and I thought that there was no hope for me. This video is the first video ever that actually helped me understand how to do optimization. I think I still need to do more practices problems, but I genuinely want to thank you because I finally get it now. So truly from my bottom of my heart, thank you. ❤️
@alecescobar9900 2 жыл бұрын
Look for patterns and memorize those patterns so you can apply them to different questions, works for me.
@nopoyiik 2 жыл бұрын
@@ghostgoingdark_ ABSOLUTELY DISAGREE. Optimization are definetly the easiest. Related reates are just so fucking complicated I literally skip them on the exams because I know I won't even get it right. Optimization isn't that bad though for me.
@JasonJia11 2 жыл бұрын
@@nopoyiik You need to practice. Start with the easier problems then move onto the harder ones. Draw a graphic, note down all the given quantities, note down the rates that are given and the rate that you're trying to find. Assign variables to the things that change as a rate. Write down all the relevant equations/formulas for the problem. *DO NOT* plug in any quantities until after you've implicitly differentiated the equation and manipulated it so that you're solving for the rate that you're trying to find. It's easier to understand if you differentiate and write down the rates using Leibniz notation.
@nopoyiik 2 жыл бұрын
@@JasonJia11 wish you would’ve replied to this a lot sooner. The only problem I skipped on the final exam was the related rates 😭 I practiced everything but that, I honestly gave up on it. I still got a 128/140 (the related rates problem was 12 points). It was a little painful to leave it empty, but it’s whatever. I passed and that’s what matters
@ddelta02 Жыл бұрын
The first two sentences describe my week perfectly 💀
@harperbone5908 2 жыл бұрын
was staring at the 20L thinking "how tf did he get 10" for like 5 minutes... lmfao
@maak289 4 ай бұрын
Bro how did hr
@beb3891 4 ай бұрын
@@maak289 It's a 20 he just wrote it like a 10 lol. Took me a second too
@FatmaAffey 4 ай бұрын
@@beb3891 NO WAYYYY LMAOOO I WAS LITT TRYNA FIGURE A WAY TO GET 10 FOR THE LONGEST😭
@jackmarchese4771 4 ай бұрын
same haha
@LukePaciocco 4 жыл бұрын
I have a chapter three test in 32 minutes...... this helped.... still doomed
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@RockersRock6 3 жыл бұрын
1 year later but me too:p
@firstnamelastname1464 3 жыл бұрын
How did you do???
@michaelhartley8277 3 жыл бұрын
I also have a chapter three test in 38 minutes lmao
@TheCheech0203 3 жыл бұрын
Final in an hour lol
@its_nikki_byrne 2 жыл бұрын
I had been having SUCH a hard time with this for months, but now it's the night before the AP exam and this video has officially taught me how to do optimization problems!!! The part about having to only have one unknown variable so that that is what the derivative is in terms of is ingenious and I am SO thankful to have that advice now!! Thank you so much!!!
@metanoiasmagicalpotions Жыл бұрын
Writing for comprehension purposes 1. Draw the function 2. Write the area function and constraint function 3. Solve constraint function for a variable 4. Plug variable function back into area function 5. Find critical points using first derivative test 6. Check if critical points are extraneous 7. Check critical points that aren't extraneous using second derivative test 8. If a maximum, you have your answer for that variable
@valyahmadi 8 ай бұрын
Do you know how he got 2*w+L = 40, wouldnt the area just be w*l
@iheartphoebebridgers 8 ай бұрын
@@valyahmadi that's the equation for the perimeter-- area is w*l, but because we are finding the dimensions of the enclosure based on the amount of fencing around the space (40 feet), you would need to use 2w+l=40. The reason it is 2w+l instead of 2w+2l (the standard equation for perimeter) is because one side of the enclosure is the wall of the house, so it would not be necessary to find a length of fence for that side of the enclosure. Hopefully this makes sense :)
@CalebMathews-yz7qe 8 ай бұрын
How do you check if points are extraneous? Number line?
@nikitike 7 ай бұрын
@@CalebMathews-yz7qe you find the domain and see if the number you find is in the interval
@rosskious7084 2 жыл бұрын
Related rates is easier because you deal with only one equation most of the time. These usually take a main equation and one or more helper equations that the constraint goes into (most of the time). A lot more thinking and planning involved. The calculus itself is the easy part.
@SunnyD876 4 ай бұрын
I think they are equal. Related rates has like 5 different equations total depending on the situation but optimization you have to make your own equation although they are usually more simple
@andrewma9975 Жыл бұрын
I love how you say we are not in multivariable calculus yet. So relatable hahaha. Optimization and Related rates are hell. Optimization is the big boss I am dealing with.
@chloek3750 4 жыл бұрын
Thank you! Quickly and concise explained this....having my class online has been difficult 😪
@alexandermbot9467 4 жыл бұрын
I feel you bro, I have 71% right now in mg chemistry class
@UltimitShadelord 3 жыл бұрын
Yeah I feel you, my calc 1 class is getting consistent means of 40% on our exams at purdue, dont stress and you'll get through your schooling just fine 😌
@chloek3750 3 жыл бұрын
@@UltimitShadelord thanks I got a B in calc 1&2 this year. As long as your around 50% you should be able to bring it up. Algebra messed me up so that’s what I focused on. Helped a lot. Good luck 👍
@shiyanlowe3700 3 жыл бұрын
Currently watching this before a test at this point I'd happy with a C.
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐
@FataIIity Жыл бұрын
Literally have a final tomorrow for calc and I never ever got optimization but this video def helped out. Wish me luck guys
@xiraei Жыл бұрын
how did it go bro
@theunit5558 9 ай бұрын
@@xiraei guess not good
@cherie9692 6 ай бұрын
got a calc exam in a few hours too wish me luck 🥹
@natalieniclas2317 2 жыл бұрын
This has been extremely helpful, since optimization has been one of my weaknesses in PreCalc H. I’m now ready to ace my final exam!
@mads2158 Жыл бұрын
you're doing optimization in precal?? I didn't even learn what a derivitive was until calculus
@Rudenbehr Жыл бұрын
@@mads2158 I did optimization in precalc as well. There’s an algebraic way of doing this but imo it’s more convoluted than calculus. It gave me an appreciation for derivatives lol.
@ethanspencer9589 9 ай бұрын
You are the sole reason I passed my calculus 1 class, Thank you so much
@omarsahyoun5284 3 жыл бұрын
man thank you so goddamn much, this is a life saver. everyone who did the exam yesterday tanked the optimization question, hopefully, I wont after watching this!!
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@danaalr1728 2 жыл бұрын
Thank you !! the teacher has been teaching us optimization for a whole week or two, and this helped me understand it much better :)
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@alainaz7713 8 ай бұрын
Studying for my calc final :) optimization is actually kind of fun and so is calc haha...I love being able to understand math. Thank you for helping! I feel like I can ace optimization now (as long as they don't throw in a problem where there's some crazy area formula...oh well, confidence confidence lol)
@vlvt-things 2 жыл бұрын
what an amazing explanation, also that "good luck on the test" at the end sounded so sincere
@SuperYkf 7 ай бұрын
Difficult to find an example where you find the maximum and minimum in the same problem. Very helpful thanks.
@calengreen1402 3 жыл бұрын
Thanks man your 20s kinda look like 10s tho 😅
@tylerdrizzle 3 жыл бұрын
facts lmao
@tasrayam4127 Жыл бұрын
No calc teacher gives optimization problems as simple as this
@ashcraft257 4 ай бұрын
Exactly.
@josephabdallah5526 2 жыл бұрын
My test is tomorrow... been doing not so good in calculus but this helps a bit
@alexandermbot9467 4 жыл бұрын
Very helpful, I just still struggle with finding some derivatives, but it help me understand the optimization of problems, hope I get a good grade in my test today😅
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@slimeball4l540 3 жыл бұрын
how did u do?
@alexandermbot9467 3 жыл бұрын
@@slimeball4l540 sadly I had to drop the class😭
@slimeball4l540 3 жыл бұрын
@@alexandermbot9467 oh rip
@pattytheratty 2 жыл бұрын
@@alexandermbot9467 lmao
@danicakomlofske5369 2 жыл бұрын
my friend watched this half an hour before she had to take her calc 1 test & she got this specific problem right
@FearTheFlare 3 жыл бұрын
I swear optimization is the hardest topic in calculus 1
@whatislife142 3 жыл бұрын
the examples here on the internet are pretty easy. I dont fkn know why my uni has to make everythign so hard
@JBieberGDragon-cd9qh 3 жыл бұрын
in calculus 2 too .. The video here in YT is simplier than the word problems given in school. That is why, it is still hard for me to answer my module with all those videos that I've watched.
@tickyotacky 2 жыл бұрын
Optimization and related rates are literally the worst
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@bella-fv1ul 4 күн бұрын
Thank you so much this taught me more in 10 minutes than my math teacher in 3 hours
@bubblegumbumbum 3 жыл бұрын
9:30 smiley 😭❤️
@luisarmandoburgosmercado359 3 жыл бұрын
Ive been trying to understand this for a while thanks for explaining it in such a simple way.
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@luisp8587 Жыл бұрын
The math seems wrong when he goes from (40-L/2) * L. Should A = 20L - L^2?
@crontsquared230 3 жыл бұрын
6:48 got me dead lmaoooo. Super helpful vid man, appreciate it!
@YRO. 6 ай бұрын
lmfao
@brytheman9021 3 жыл бұрын
Got a final today, Thank God for you!
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@sonoma5971 3 жыл бұрын
yeah man, my final is today . rip
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@angelogandolfo4174 3 жыл бұрын
Well explained bro, as a super-simple introduction to this whole topic!! I like the little mnemonic with the ‘smiley’ / ‘sad’ faces, that’s a nice one to teach!! 👍🇬🇧🇺🇸
@theemperor3557 4 ай бұрын
I was looking at the 20L wondering how he got a 10L from 40 divided by 2 😂😂😂😂. Great video though man 🙏🏽
@Woahthatisnotfair Жыл бұрын
He divided 40 by 2 and got 10 somehow
@salamisalami7339 Жыл бұрын
It’s 20, he just writes his 20’s a little weird lol
@3zombie81 Жыл бұрын
It’s crazy how everyone is studying on the same day as their final or a day before, I am doing the same but it’s a nightmare that I hope it won’t repeat.
@ellisstafford550 2 жыл бұрын
Thank you so much! I have a test tomorrow and optimization finally clicked for me in this video!
@kaylanicolette 2 жыл бұрын
The video description😭👏‼️💅✨
@sakura-tg8jx 2 жыл бұрын
pleaseee the description, you're hilarious ahaha and also of course thanks for helping!!:)
@janamfedaehadrii3833 Күн бұрын
I have a paper in the morning..this helped ❤
@Matthew8473 6 ай бұрын
This is setting a new standard. I read a book with a similar theme, and it set a new standard for me. "Unlocking the Brain's Full Potential" by Alexander Sterling
@gravad1352 2 жыл бұрын
Teat tomorrow on this... Wish me luck! Your video helped a lot, thank you!
@jacobkoshy5577 2 жыл бұрын
hey me too!
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@shannonmalone2914 3 жыл бұрын
nice caption - ur a king
@djdude451 2 жыл бұрын
legend bro, hearing this explanation really makes a big diff
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@summertee8772 5 ай бұрын
FINALLY someones that can make this make SENSE
@dylboy385 Жыл бұрын
Write your 2s better bro. I thought you were writing a 10 for like half an hour and then had to redo my whole worksheet because i was confused.
@danielsolomon6227 2 жыл бұрын
the interval should be [ 5, 20 ] , and not [5, 30] . Since 2w + L = 40 , then L = 40 - 2w, , the maximum w can be 20 because 40-2(20) =0 and if you go further than that, you would get a negative number. and the minimum it can be according to the requirements is 5 . With that in mind, the maximum area is 200, and the minimum area is 0 ( if you use all 40 meters of fencing on one side). Thank you for the video.
@bruh6267 Жыл бұрын
yeah noticed this too, I knew it was weird
@jenus-s Жыл бұрын
Nah, it's still [5, 30]. The question says the width has to be at least 5 feet long. 2W+L=40; 2(5)+L=40; L=30
@viv7169 4 жыл бұрын
Thank you. My class switched teachers during this unit and no one isn’t he class ha notes on it and it’s not on her site. So this is literally saving me before I retake the exam
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@kylethekombustable6818 3 жыл бұрын
Taking my final in 15 minutes, thanks
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@Texnoable 2 жыл бұрын
i have 48% right now in my class on the verge of failing hope I don't die tomorrow
@advikarim7263 4 жыл бұрын
Why do you need to find the concavity? After the first derivative it seems like i have all the necessary info to finish the problem
@melkorsbane 4 жыл бұрын
It's a way to be sure of the answer. When evaluating the critical points, if the 2nd derivative is negative at f(c), you know that you have a max value at x=c, due to it being concave down. And vice versa if the 2nd derivative is positive.
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@NoneStopDamage 4 жыл бұрын
your 20's look like 10's...
@calengreen1402 3 жыл бұрын
That’s what I was thinking
@clorox1738 Жыл бұрын
calc bc test in 4 hours, great help!!!
@diamondlong23 Жыл бұрын
Description is so out of pocket lmao
@dimnike4657 2 жыл бұрын
I loved the mnemonic trick
@euro134134 3 жыл бұрын
this is gold bro
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@dannatravinci7380 2 жыл бұрын
You made everything even harder to understand. Or maybe I'm just too dumb for calc.
@mangoraichupancakes Жыл бұрын
you are never too dumb for anything you are smarter than you think and you CAN achieve anything
@ARAYASMEDIA Жыл бұрын
how did you simplify the original a=wl equation like that i couldnt figure that out
@randomrandom63663 2 жыл бұрын
The title is very misleading, I thought this is about black-box derivative-free optimization
@arjunprabhune2353 2 жыл бұрын
test in 36 minutes but this vid came in clutch
@aohall Жыл бұрын
TY bro. Ive been rusty w calc but this made sense
@elilovesjesus9169 3 жыл бұрын
Thank you so much ! You’re a life saver
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@renewd 3 жыл бұрын
Good job of explaining and steps are appreciated. Focus on domain was very helpful.
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@Noor-wc1ji 2 жыл бұрын
the description killed me
@xingyv5599 2 ай бұрын
Isn't it that you can treat A(l) as a quadratic equation and found its maximum point directly without derivation?
@jcdragneel 6 ай бұрын
Great stuff my guy. I will most definitely be using the smiley face allegory for my math of this topic lol
@durahnajjar5490 4 ай бұрын
this video changed my brain chemistry
@jaidevtyagi1033 10 ай бұрын
It's wrong, l+2w = 40 and we need to find [l*w]max. So l and w should be in 2/1 ratio. answer we'll get is 355.55. way bigger than 200
@sheralikhan3810 Жыл бұрын
Sir , Were you not supposed to take area but in solution you have taken a surface area.
@wojciechkalinowski3827 3 жыл бұрын
Hi, this seems to work for some optimization problems. But, what about multi stage, non linear, multivariable, systems subjected to different set of constraints. For example trajectory optimization, or maximum volume of a box with the minimum area defined by a set schematic. The second one could simply use the Langrange multipliers with programming. But the first one?
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@saienphlad8600 2 жыл бұрын
Calc 1 bro...
@kaaynn-rn 5 ай бұрын
The hardest for me is setting up the equation and knowing the domain
@benbrestal4605 5 ай бұрын
why in the world would you solve for L to start? that gives us an unnecessary fraction
@xvnw 4 ай бұрын
exactly what i was thinking.
@wassrteken9062 2 жыл бұрын
This is actually very helpful. Thank you!
@PKIITRvideos 2 жыл бұрын
Please remove the word "ANY " from your video title. The method you are describing is for solving unconstrained optimization of smooth strongly convex functions.
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@matusvrab8400 3 ай бұрын
Really nice and easy problem. Keep it up 👋🏼
@thelonelytuba1972 2 жыл бұрын
College bad. This channel good
@thecactus1229 Күн бұрын
just out of pure curiosity what year of school do they teach this in?
@cawmmronehackyouee7406 Жыл бұрын
Nice stuff, keep it up good sir
@ERnurse22 3 жыл бұрын
Great video! I love the voice crack haha
@user-sb2fz3cm3o Жыл бұрын
what about a cone inscribed in a cone
@danielfurth775 3 жыл бұрын
you are a goddamn hero.
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@kiara4345 4 жыл бұрын
AHAHAHHAHA the description
@shubantiwari918 3 жыл бұрын
fabulous video
@mattfalciola3950 3 жыл бұрын
Thank you so much!
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐💐
@jaykey4158 9 ай бұрын
What do you do if you don’t take 2nd derivative test? Like you said it can be very hard sometimes.
@wvqoo 2 жыл бұрын
Thank you!
@toontownyazzy9719 2 жыл бұрын
Thank you so much. This helped a lot.
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@masonlindsay8613 3 жыл бұрын
If the there was 40 fence how did we only use 30 for max are makes no sense
@johnstfleur3987 2 жыл бұрын
THANK YOU.
@solzok7962 Жыл бұрын
thank u my brotha
@isabelleortiz6895 2 жыл бұрын
Great video, thank you!
@jokarmaths7771 2 жыл бұрын
amazing ...kzfaq.info/get/bejne/a9yeqpSKppPLnX0.html
@surprisemesports5497 Жыл бұрын
all goes well until u have a different constraint and dont know what to do with it
@amirmirza1273 3 ай бұрын
pov: youre exam is in 8 hours and all skipping is catchign up to you
@northkangaroos2927 Жыл бұрын
thankyou that helped me so much!✏✏✏✏
@victoriacorcimaru1731 2 жыл бұрын
Thank you!!!
@brent2004 Жыл бұрын
Thanks guy
@ideentayebi20 4 жыл бұрын
mate i cba optimaziton is more difficult because its more algebra then calc
@beoptimistic5853 3 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐💐
@johnersey Жыл бұрын
I am confused at 7:14, how does 10 - L = 0 mean that L is 20? Wouldn't L be 10?
@mrfishyman5725 Жыл бұрын
its a 20, his 20's looks like 10's
@johnersey Жыл бұрын
@@mrfishyman5725 thanks 👍
@jaidevtyagi1033 10 ай бұрын
his solution is wrong
@osmankhan3499 Жыл бұрын
You saved me man
@taylorbrown7794 Жыл бұрын
noah centineo is that you
@harshsao7415 2 ай бұрын
need more questions
@asif7240 Жыл бұрын
Thanks!
@anjamisimovic9214 Жыл бұрын
tnx dude this was awesome
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