@@johncena3022 Never would I have thought the hardest part of calculus for me would be reading and Algebra....
@stanleypickering7750 Жыл бұрын
@@CocoaThunda so true
@5gallonsofwater49510 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.
@quill4042 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. ❤️
@alecescobar99002 жыл бұрын
Look for patterns and memorize those patterns so you can apply them to different questions, works for me.
@nopoyiik2 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.
@JasonJia112 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.
@nopoyiik2 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 💀
@harperbone59082 жыл бұрын
was staring at the 20L thinking "how tf did he get 10" for like 5 minutes... lmfao
@maak2894 ай бұрын
Bro how did hr
@beb38914 ай бұрын
@@maak289 It's a 20 he just wrote it like a 10 lol. Took me a second too
@FatmaAffey4 ай бұрын
@@beb3891 NO WAYYYY LMAOOO I WAS LITT TRYNA FIGURE A WAY TO GET 10 FOR THE LONGEST😭
@jackmarchese47714 ай бұрын
same haha
@LukePaciocco4 жыл бұрын
I have a chapter three test in 32 minutes...... this helped.... still doomed
@beoptimistic58533 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@RockersRock63 жыл бұрын
1 year later but me too:p
@firstnamelastname14643 жыл бұрын
How did you do???
@michaelhartley82773 жыл бұрын
I also have a chapter three test in 38 minutes lmao
@TheCheech02033 жыл бұрын
Final in an hour lol
@its_nikki_byrne2 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
@valyahmadi8 ай бұрын
Do you know how he got 2*w+L = 40, wouldnt the area just be w*l
@iheartphoebebridgers8 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-yz7qe8 ай бұрын
How do you check if points are extraneous? Number line?
@nikitike7 ай бұрын
@@CalebMathews-yz7qe you find the domain and see if the number you find is in the interval
@rosskious70842 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.
@SunnyD8764 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.
@chloek37504 жыл бұрын
Thank you! Quickly and concise explained this....having my class online has been difficult 😪
@alexandermbot94674 жыл бұрын
I feel you bro, I have 71% right now in mg chemistry class
@UltimitShadelord3 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 😌
@chloek37503 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 👍
@shiyanlowe37003 жыл бұрын
Currently watching this before a test at this point I'd happy with a C.
@beoptimistic58533 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
@theunit55589 ай бұрын
@@xiraei guess not good
@cherie96926 ай бұрын
got a calc exam in a few hours too wish me luck 🥹
@natalieniclas23172 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.
@ethanspencer95899 ай бұрын
You are the sole reason I passed my calculus 1 class, Thank you so much
@omarsahyoun52843 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!!
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-things2 жыл бұрын
what an amazing explanation, also that "good luck on the test" at the end sounded so sincere
@SuperYkf7 ай бұрын
Difficult to find an example where you find the maximum and minimum in the same problem. Very helpful thanks.
@calengreen14023 жыл бұрын
Thanks man your 20s kinda look like 10s tho 😅
@tylerdrizzle3 жыл бұрын
facts lmao
@tasrayam4127 Жыл бұрын
No calc teacher gives optimization problems as simple as this
@ashcraft2574 ай бұрын
Exactly.
@josephabdallah55262 жыл бұрын
My test is tomorrow... been doing not so good in calculus but this helps a bit
@alexandermbot94674 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😅
@beoptimistic58533 жыл бұрын
kzfaq.info/get/bejne/jrZzmqqFnqjQooU.html 👍💐💐
@slimeball4l5403 жыл бұрын
how did u do?
@alexandermbot94673 жыл бұрын
@@slimeball4l540 sadly I had to drop the class😭
@slimeball4l5403 жыл бұрын
@@alexandermbot9467 oh rip
@pattytheratty2 жыл бұрын
@@alexandermbot9467 lmao
@danicakomlofske53692 жыл бұрын
my friend watched this half an hour before she had to take her calc 1 test & she got this specific problem right
@FearTheFlare3 жыл бұрын
I swear optimization is the hardest topic in calculus 1
@whatislife1423 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-cd9qh3 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.
@tickyotacky2 жыл бұрын
Optimization and related rates are literally the worst
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!! 👍🇬🇧🇺🇸
@theemperor35574 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.
@ellisstafford5502 жыл бұрын
Thank you so much! I have a test tomorrow and optimization finally clicked for me in this video!
@kaylanicolette2 жыл бұрын
The video description😭👏‼️💅✨
@sakura-tg8jx2 жыл бұрын
pleaseee the description, you're hilarious ahaha and also of course thanks for helping!!:)
@janamfedaehadrii3833Күн бұрын
I have a paper in the morning..this helped ❤
@Matthew84736 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
@gravad13522 жыл бұрын
Teat tomorrow on this... Wish me luck! Your video helped a lot, thank you!
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.
@danielsolomon62272 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
@viv71694 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
i have 48% right now in my class on the verge of failing hope I don't die tomorrow
@advikarim72634 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
@melkorsbane4 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.
Isn't it that you can treat A(l) as a quadratic equation and found its maximum point directly without derivation?
@jcdragneel6 ай бұрын
Great stuff my guy. I will most definitely be using the smiley face allegory for my math of this topic lol
@durahnajjar54904 ай бұрын
this video changed my brain chemistry
@jaidevtyagi103310 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.
@wojciechkalinowski38273 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?
The hardest for me is setting up the equation and knowing the domain
@benbrestal46055 ай бұрын
why in the world would you solve for L to start? that gives us an unnecessary fraction
@xvnw4 ай бұрын
exactly what i was thinking.
@wassrteken90622 жыл бұрын
This is actually very helpful. Thank you!
@PKIITRvideos2 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.