❖ Optimization Problem #1 ❖
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- Опубликовано: 31 мар 2008
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Optimization Problem #2 • Optimization Problem #2
An Optimization is Shown using Derivatives. I have posted another examples as well! For more free math videos, visit PatrickJMT.com
![How to Solve ANY Optimization Problem [Calc 1]](http://i.ytimg.com/vi/cUMvwG7wvzM/mqdefault.jpg)
Hi all! Please post comments, questions and anything else on your mind in the comment section! While I try to answer as many questions as I can, there are more questions than I can answer by myself so if you are someone who might be able to help, please do so! The community is so much better when everyone is involved and helping each other out. Our strength is our willingness to help each other!
Also please feel free to like or dislike the video. Your feedback is always appreciated so that hopefully I can make my future videos the best possible! Thanks and happy studies!
Hi! How did you calculate that y equals root square of 1000?
Where did you get the x^2? 3:41
Yes, this video is very good. However, I believe you shouldn't use an "x"(6:18 on the video) to represent multiplication. In video-wise, since there is narration, a person can clearly see which one you mean but on paper, without anyone talking, anyone looking at it is likely to assume that's a variable.
You seem to be skipping a few steps. I'm going to another channel to get a better explanation.
@@melissamartinez4727 the total area was 1000, and sqrt(1000) multiplied by sqrt(1000) equals 1000
I can spend hours poring over my textbook trying to learn this and get nowhere. But I come here and watch one seven minute video and understand it completely. You have a real talent, Patrick.
it's come to the point where i don't even do the homework or any practice problems, i just watch patrickjmt and do *fine* on the quizzes lol
Yeah. Math pretty much turns into do what you gotta do to pass.
same here, perfect evidence that the education system is FUCKED
But also some students are just lazy asf and just blame teachers when they're not doing all they can
ill just take the 0 on this part of the exam and cut my losses.
fear not homies, passed calc with a b- even while leaving this part of the exam completely blank lol
LOL
update: If yall cats have to take statistics, taking calculus first makes stats a WALK in the fucking park. Unless your prof is a douche canoe.
Chris Laffery you the realest nigga i've known. you probably a wshh troll
47-1 FloydMayweather #TMT
guess who isnt graduating
Did you graduate
Did you graduate?
@Gradient Soln-En oh um hi everyone !! yes, i did graduate luckily !! :)
Glad you did
Now I’m up on the chopping block
@dajakesta1234 @dajakesta1234 ha, not quite. they are already all here for free! of course, i guess i could take all the free videos down and charge for them (had offers from education companies to do this), but i do not want to do that. my intent is to create free content to help everyone, not just those with the $ to afford it. so, that is what i am doing : )
I find math really cool af at times. I like how it blows my mind but it fucks me real good cuz i suck at it :(
+Mearc well, I am not fishing for compliments here but I am really nothing special mathematically. Not at all. But, I work hard.
patrickJMT if you can be this good, then i guess i can be too ill work hard thanks
How would you solve this if x andy cannot be equal, it would help me in my homework.
sometimes working smart is better than working hard! just find the way that fit you buddy! best of luck
SAME.
@sarahgee1300 what would the max be? why must there be a solution to that?
You're the friggin best. Im taking my last math course of my entire life and it's just getting so bad, and every time I have any problem i just type the topic and JMT and here you are. It must be gratifying to be able to help such a vast number of people. You're FANTASTIC!
hi sleepy!
i am happy that my vids helped you out; it is knowing that they are making a difference for at least a few people out there is why i keep posting them.
congrats on doing well on your exam! if i ever make it to australia (would really loooove to go), you have to buy me a beer! :)
WHEN VISITING SOUTH AFRICA AS WELL..JUST TELL ME
Yes let us know when coming to south Africa
I would love to buy you a beer if ur still alive that is.
excellent!
what part of texas you live in?!
I just wanted to say thank you so much for your videos. I often find myself staring at a problem for hours, not knowing at all where to start, then I'll watch maybe half of your video on the topic and instantly understand the entire topic perfectly.
I have no idea why your videos are so effective, but holy hell you're a good teacher.
You have officially replaced my real math teacher. My scores on tests dramatically increased when I stumble on your channel! Thanks!
@dexter127tep what kind of beans are in the can?
ya, i noticed that in some of my videos too : ) well, until i start charging for the videos (so that i can get a better camera and a better microphone) you all will just have to deal with it! : )
The ability to explain things simply is your special gift- Thank you
@saltylemorse yes, in usa we stop using x for multiplication in middle school... i can not remember the last time i wrote 'x' for multiplication!
@patrickJMT What makes you so great as a teacher is that there is not a hint of sarcasm or condescending attitude or any sort of superiority attitude that so many math teachers have. You are the quintessential teacher, people love your unassuming approach and speech, I am a huge fan and recommend you every chance I get. You are a GREAT TEACHER!
@XtGu no problem. glad u like them.
Yup this and related rates suck. Everything else is easy as Pi
Dude fr
I agree augh I'm struggling with these
It all seemed pretty easy to me until I reached this and related rates, now I'm just beyond confused
I still hate this stuff.
same
SMH i have a calc midterm in 2 hours and it's about optimization and related rates. pray for my dumb ass
How was it?
@@viv7169 lmao you ask her 2 years later. She probably got married and has kids now.
@@nahyan Still need to know haha. Left on a cliffhanger.
@@viv7169 well I have a math End of course exam happening tomorrow lol I can tell you how it goes
COME ON BISMA, WE NEED TO KNOW HOW YOU DID
a critical number is a value in the domain of f that makes f ' either equal to zero or undefined.
to find what makes a fraction undefined, you set the bottom equal to zero. if that x coordinate is in the domain of the original function, then it is considered a critical number
of course! i prefer just using the first derivative test as that way i do not have to take another derivative. it is just a matter of taste as either the first derivative test or second derivative test will work.
I LOVE HOW U RESUME EVERYTHING SO SMOOTHLY IN THE END
You are an amazing teacher, i've been using your videos for 3 years now and I'm in calculus now and they are still very helpful
This was one of the exact problems on my homework, haha. I like how you came up with the constraint thing, puts it in perspective since I have a hard time setting them up.
i should say, either can work... so long as the second derivative evaluated at a critical number does not equal zero; in that case, you would need to resort back to the first derivative test, which is another reason why i like that one!
seriously you are the best. like, i struggled through ap calc and am now taking calc in university and a friend told me about your videos. you are amazing! in high school i was able to get help from my friends but at my super competitive school people are a little more reluctant to help each other, haha. after a semester of watching your videos and my final being in two hours .. i actually kind of want to take calc2 since i have you helping me along the way. thanks again.
@Charounson that is a good question
I got a 89 on my AP Calc BC test and I used your videos since I was absent on some lessons! Thanks SO much!
You are literally THE MOST AMAZING TEACHER EVER!!!!! I can understand more in your 7 min video than I can understand in 90 min of class.
I love that you can just mentally say, Patrick I need help, come here, type in the section at the top of the page, and get the lesson in very nice format. You have been helping me with math for 3 semesters now. thanks.
@VantageX4 well, i do not know about a monopoly; there are actually a ton of others doing math videos now as well. but i would like to think mine are pretty good which is why they get the views! : )
Thanks a ton Patrick for all these wonderful videos that you create. They are precise and concise yet with an adequate amount of detail (especially with the derivations). Keep up the good work! I'm going to recommend my students to watch your channel. You've helped me immensely with the concept of derivatives where I've made notes from your tutorial and haven't forgotten those concepts. 😊
You are a better teacher than my current calculus professor, and that is saying something. Thank you so much for these videos! You are the best!
@patrickJMT you deserve it, you teach exceedingly well. I made an algebra mistake the yesterday and asked my professor if the way i did the problem was correct and he said "i'm pissed that you don't know how to the algebra for this." your technique is concise and you're a great person for doing this, really. especially free of charge because most of us are broke as a joke.
Very extremely helpful, I never really had optimization down and today I have my Calc final... wish me luck! Thanks so much again!
@joejar77 that is totally awesome : ) thanks for spreading the word!
@HBMAN1995 yup
I always go here for help. No other website, youtuber, teacher, tutor can help me as much as you do... Thanks so much!
Thank you. My current teacher isn't very good at explaining these concepts, but when you explain it, it seems simple.
Thank you so much. Years ago I used your calculus videos, and it helped me understand calculus.
You teach it way better than most college professors do.
I hope you encounter beautiful women to sit on your face, for you deserve it for helping so many people learn and understand math.
@RossRocks07 hope it went well!
thank you very much
hey ! every time i look for a video for math21(differential calculus) lessons i always make sure that it's yours. YOU ARE EFFIN AWESOME.
calculus exam today...after 16 weeks of lectures im finally understanding this stuff...thanks alot man...ur awesome...
My BC Calc teacher showed us this video in class today. You, Sir are a genius... Whole class understands it now.
first semester final for calculus ab coming up. thank you!
this patrick gentleman is quite possibly the best explainer of maths I have ever seen
This video made optimisation much clearer and my exam is today, so thank you a million times over!
@3lizza a square is a rectangle
@ParkUniversityACM glad u think so : )
@shelbieeex3 hope the test went well!
I think your videos are the only reason why I'm going to pass my AP Calc final.
This video helped me out 10 years ago. Just came back to say thanks
ssssssooooo ccuteeee!!!!!!!!!!!
We just learned about Optimization. We had differentiated instruction today in class, and we were given challenges after he taught us what to do. He referred us to this video after the lesson - well done
Hi Patrick.
I'd just like to sincerely thank you for the wonderful range of maths videos. I'm studying engineering at uni over in Australia... Was finding a few concepts hard to grasp in lectures, but they way you explain things makes everything seem a lot more clear. I managed to get 100% in a final exam of a subject with a 35% failure rate, largely due to your explanations ironing out the kinks I had in my understanding.
So basically, thank you for explaining things better than my lecturer.
@skrevat yes it is nice to wake up each morning and to see lots of nice comments from people : )
very happy that i can help you :)
daily routine after school.... patrickJMT! thank you so much for all your videos!!!!
Well, everything my teacher said made no sense today. Thank you so much Patrick. All day in class I was just thinking, "ugh.. once I get home I'll just watch patrickJMT and get this instantly," and I was right!
These videos have been some serious help! Thanks!
my pleasure, glad to help :)
This made no sense when my professor explained it for two hours. After seven minutes of watching this video I get it perfectly. You must be a superhero of some sort to make math this easy.
Dude once ive finished my degree and im no longer broke ill donate as much as i can. You're the real MVP i owe you more than my tutors
I was struggling so bad with these types of problems until I stumbled onto here and everything started to make sense :) (THANK YOUUUUUUUU)
My final is tomorrow, your videos have helped me study and clear up what my teacher made complicated. Thank you very, very much.
@patrickJMT and your videos are much appreciated!!!!
watching your videos to get ready for my exam tomorrow! you are awesome!
yes, and you would find there is no solution! you can make two sides of the rectangle arbitrarily large, so long as the other two sides are sufficiently small, which makes the perimeter grow arbitrarily large as well
The constraint idea really helped me set up these types of problems which to me is the hardest part, thanks a lot.
omg this saved and cleared the stress out of my mind. THANK GOD YOU'RE HERE!!!! :DDDD
I don't know what I would do without your videos
@gogooma95 nope
optimization was the one part of higher maths that just wouldn't go in my head and i have my prelim tomorrow; but finally i get it !!! THANK YOU
Thank you, was stuck on the derivative for a while but this video helped
Thanks for making this video because I would not have been able to finish my homework without it
It's 2020 and I'm watching. This is helpful. Thank you🥺🔥🔥🔥
Is there anything you can't do?? I literally see what the topic is for the lesson in my online class and instantly youtube it and you ALWAYS have a video on it. thanks so much bro
you have no idea how much i love you right now
Guys, this video was made on April 1st... This is blasphemy.
Patrick, you're a boss. Thanks so much for posting , I would be studying for hours very morosely not understanding anything had i not discovered these videos.
honestly helped me pass Calc this semster, thank you for everything! :)
U have helped me so much. I am currently a high school junior taking AP Calculus AB, and thanks to your help, I scored 95% on my midterms. God bless you, bro.
I'm planning to take AP Calculus BC next year. Hopefully you have videos on those topics as well.
Thanks sooo much! You have helped me get through my calculus class!
Great Job! Very Clear, Thorough, and still a short video!
Amazing how this guy can explain optimization in like 5 steps while my teacher literally fills up both sides of the board on one question. Did what he said and not what my teacher said on a test today and got a C+ (MAJOR improvement for me lol). I'm coming back more often :)
my thing is how would someone know how to set up a problem as such?
Are you asking why there is a problem that requires an optimization approach or how someone thought to answer these sorts of problems in this way in the first place?
like I dont think most people would know to set up the problem like 2X + 2Y
Blackie Robinsin the perimeter equation is just adding all of the edges together. So in a rectangle it is 2 length + 2 width; the x and y just make it easier to work with algebraically
Blackie Robinsin That's math for you...You just need to keep practicing .
The more you practice,the more familiar the solutions are to you.but...
Ain't nobody got time for that *yawns*
you simply don't. you skip the question and move on. #realtalk.
10 minute time limit. Damn does that bring me back.
these problems are the least fun in calculus next to approximation
really? i like them. i show applications.
I think everything in Calculus is fun compared to the mathematics we did before
not important
Linear approximation is so easy
Thank you so much. I have to do more complicated problems, but its basically the same idea. Thanks for taking it step by step, my professor just does so much stuff in his head and its hard to keep up.
I attend UTPA in Edinburg... thanks so much for ALL your videos! You have NO idea how much you have helped me!! :) Would have definitely signed up for tutoring if I was closer to Austin haha
I went to look for the Game Optimization, and end up with this.
Now I know how both works now. Thanks :)
Thank You so much for your help. I've been cramming for my Calc 1 final and this is so simply explained that it finally clicked! I owe you a lunch!
-Allen
It's 1:30 AM and I have a test on this & related rates tomorrow so it's time to watch every patrickJMT video on the subject and then cry myself to sleep
c'est la vie : )
good luck in the class
i love your videos, so so so so helpful.
and your handwriting, it's awesome!
The explanation of this video was amazing,, Thank you
Patrick>Even the best math teachers