Dear Patrickjmt Never and I repeat never apologize for being thorough in your explanations. It is what helps us most. Thank you for being so ridiculously accurate and amazing in teaching. :)
Guys if everyone who viewed this video up until now donated a dollar, he would have $361,374. I can't think of anyone on youtube who deserves my dollar more since he's helped me pass my classes. You rock Pat!
iam a maths teacher in india ,my students are surprising from where our sir is bringing such a good concepts which are not given in any book, thats entire credit goes to sir patrick,keep going sir otherwise we stop at delivering. thank you very much sir.
i had so much trouble in class because our instructor didnt explain how to get the critical points very well, thank you very much, this really helped me out :)
your videos are very helpful & i can take my time doing my work rather than having my professor with really bad accent giving me a hard time...thanks & we ALL appreciate the help
hey patrick. thanks for all your help. I've been watching your videos in my calc 1. now I'm taking calc 3. your basically my calculus professor. thanks a lot.
This EXACT problem was given on my Multivar Exam today and I had it memorized to a tee, but I chose to solve it without "copying and pasting" my thoughts on the exam. It was worth 20% of the exam too, hahaha! Thank you so much Patrick!
thanks dude i came to the computer to play cod coz i was tried doing maths, which my weakest subject but i just searched this topic on youtube n u just made maths interesting for me.......
holy crap!! you are the best teacher in the whole world!!! xD sorry, i probably already posted this several times on your videos. but is the truth.. thank you very very very much.
@patrickJMT no once they put an ad on the video your about to watch, you have to watch the ad in order to watch the video! (video factorial) video-1, video-2, video-3,...
find all the local max/mins like he showed you, then plug those into the original equation and whichever is the biggest or smallest is the global max/min
@patrickJMT i hear ya...ppl always make fun of me cuz i stumble wen i talk...but anyways...my old professor gave the class a hard time cuz he never cared to have active teacher-student involvement. My other professors would always ask how everyone was doing as they get ready for lecture & would respond to emails...but this guy was way too stern & i felt like he didnt care that we all needed extra help...now i get help from youtube n other resources
@Mathieu Nobert: redo your arithmetic; it is 1/3. You probably did this: (-2)(1/3)*(-2)(1/3)-[1-(2*2*(1/3))^2] What you should have done is: (-2)(1/3)*(-2)(1/3)-[1-(2*(1/3)-2*(1/3))]^2 You misfactored and dropped a coefficient along with its sign.
I lvoe how the whole time your going through this probably your groaning with me like ughhh this problem is long and in my head i'm thinking the same exact thing . Haha. Thanks a lot . Your videos are very helpful and I'm a tutor for HS students and I always recomend them to you in areas they are struggling.
Is the proof for the Second Derivative test really that bad? My professor said "The proof is beyond the scope of the class." Oh, and you rock Patrick this video helps out a lot!
Funny thing is every problem my Calc 3 teacher does on the board are the exact same problems you do here. I havn't found a single problem he has done in class that you don't do in your videos.
Patric, I was lost when you use y=0 and y=1-2x and plugged into the partial Fy. You end up with x=0 and x=1 but where did you plug this numbers to get this values (0,0) and (1,0)?
@patrickJMT How about when you're asked to find "The extreme values of the given function on the indicated interval". Is that their way of asking for local/relative value? There are so many names for this stuff, it gets confusing after a while.
Hello, Would I be right in saying that, if you have a function F(x), with derivative F'(x), and we know that the roots of F'(x) are x=a and x=b. Then if F(a)>F(b) then we have a Max@ (a, F(a)) and a Min@ (b, F(b)), because the former is higher than than the later. Can this method of reasoning be used as an alternative to checking whether the second derivative, F''(x) 0 ? Your videos are an inspiration. Thank you.
When you are taking the derivative of xy-x^2y-xy^2..isn't there a product rule because x is multiplied by y and x^2 is multiplied by y and x is multiplied by y^2?
Hey Patrick, thank a lost for posting this video. You have such a good way of teaching. I came here because after doing some homework problems, I get really frustrated when (for ex.) partial x = 3x^2-x =0. What I kept trying to do(since x has 2 values) was complete the square, but I kept getting wrong answers. Can you please explain why completing the square and factoring out x give different answers? Am I doing something wrong?
Given function f(x,y) = x^4 + y^4 - 2(x - y)^2, where f(x,y)≤ 0. For all values of (x,y) near (0,0), f(x,y)≥f(0,0) → At (0,0) f(x,y) has a local minimum f(x,y)≤f(0,0) → At (0,0) f(x,y) has a local maximum OK, so how do I know if f(x,y) is greater or lesser than f(0,0)??
Hey PatrickJMT, love your videos. Just one thing, it might have been mentioned already, but at the beginning when your giving the definition, isnt it suppose to be "When D = 0, there is no local or max min" not "When D < 0" ?? Thanks! Keep up the great videos!!
10 years later, the video is still helping students
yeah indeed, what a great job to do
12*
@@mustafasiddiqui8203 13*
@@samwubeshet4940 indeed
14*
Dear Patrickjmt
Never and I repeat never apologize for being thorough in your explanations. It is what helps us most. Thank you for being so ridiculously accurate and amazing in teaching. :)
where r u from ?
That escalated quickly
Patrick, you have a rare talent of explaining complicated stuff in very simple terms. Thanks!
Guys if everyone who viewed this video up until now donated a dollar, he would have $361,374. I can't think of anyone on youtube who deserves my dollar more since he's helped me pass my classes. You rock Pat!
did ya donate tho?
It's funny how I got through cal 1 and 2 with patrickJMT, and now my cal 3 professor is linking us to his videos for pre-lecture.
tell your prof i said thanks!
Okay! (:
iam a maths teacher in india ,my students are surprising from where our sir is bringing such a good concepts which are not given in any book, thats entire credit goes to sir patrick,keep going sir otherwise we stop at delivering. thank you very much sir.
12 years later, your videos are still helping to students. Thanks a lot! @patrickJMT
you deserve the salary of my prof who just wasted my time explaining it in the most confusing manner that she even got herself confused
i had so much trouble in class because our instructor didnt explain how to get the critical points very well, thank you very much, this really helped me out :)
patrickjmt is easily the best channel for math help
Thank you Patrick. You are the best. I would not have survived without you. Calculus 3 - Math 20C - Linear Geometry.
your videos are very helpful & i can take my time doing my work rather than having my professor with really bad accent giving me a hard time...thanks & we ALL appreciate the help
Dude, i got my cal 3 test in 3 hours. Legit video, probably gonna do amazing because you explained min and max of two variables like
a boss!
hey patrick. thanks for all your help. I've been watching your videos in my calc 1. now I'm taking calc 3. your basically my calculus professor. thanks a lot.
Your catchphrase should be "Now that you've got it down Pat..." BAM a youtube legend is born.
Thanks a lot @patrickJMT, I know I can always count on your vids to simply everything I learn in my textbook. God Bless you.
14 years later still helping ❤😊
1:40 thanks for rewriting the rules and requirements on your videos. They help ou a lot too
There needs to be a PatrickJMTAcademy, I like watching your videos better! So clear and to the point!
@ashleytheyeti yes, you might look in the calc 1 playlist on my channel
This EXACT problem was given on my Multivar Exam today and I had it memorized to a tee, but I chose to solve it without "copying and pasting" my thoughts on the exam. It was worth 20% of the exam too, hahaha!
Thank you so much Patrick!
you turned a whole chapter in my textbook into a 10 minute video... for that I thank you greatly!!!
thanks dude i came to the computer to play cod coz i was tried doing maths, which my weakest subject but i just searched this topic on youtube n u just made maths interesting for me.......
Test in 8 hours. Your videos are the best review for all this calculus.
relative and local are used interchangeably
11 years later, a student has an exam tomorrow and still finds this video more helpful
This video is amazing! I have my calculus final exam tomorrow and this really helped me understanding this whole concept! Thank You :)
Guess who has a test this Tuesday and will be watching your videos for help!? *Pointing my thumbs at myself* This guy!
With you; I don't even need my calculus book. Your explanation is crystal clear. Even I understand it :D
You explain it 100x better than my teacher!!
Significantly better than my Ivy League Professors and TAs. Thanks, you're the man!
@prtnst glad you like them.
we all have an accent to someone though. people make fun of my southern accent from time to time. that is life.
Thank you so much for your time and energy! I wish on my next set of birthday candles that everyone would teach like you
special thanks for writing all that down... thanks for all ur work... simply outstanding!!!
I'm so thankful! I've used your videos for many courses and it has always helped! Thank you very much, God bless you! :)
I would recommend your videos to anybody doing calculus, I actually have a few times
holy crap!! you are the best teacher in the whole world!!! xD
sorry, i probably already posted this several times on your videos.
but is the truth..
thank you very very very much.
man you don't how much your videos helped us .. thank you !
@patrickJMT no once they put an ad on the video your about to watch, you have to watch the ad in order to watch the video! (video factorial) video-1, video-2, video-3,...
Hi Patrick you have the best concept of Mathematics.
Thank you Patrick! I'm watching this 1 hour before my exam hahah I got it very well thank you again!
you taught me more than my prof did! Patrick.
its very good you write the rules first it helps to understand it , don't be sorry.
thank u sir..... it really helped me when could not get it 4rm the class....
Best Video I've seen on this so far. Helped alot.
Thanks so much for these videos...You make Calculus seem so easy
@redtrex94 i do not do a ton of proofs since i figure they are in the books, but lots of people ask about them, so i may start doing that!
Really thank You Sir i mean i Learn So much and it's so simple ... Peace From ALGERIA
@martmelee you can post that as often as you wish : )
Your videos are very useful to watch and learn from!
I see them all the time q: )
LIFE SAVER patrickJMT
Thanks a lot man. I'm so glad I'm subsided to you and that you make these videos. You make calculus so much easier
very happy to be helping out!
I just ran into a problem. Can you help by any chance real quick
+AbeMahdi were you able to solve your problem?
why do we need to plug in values of fx=0 into fy when we are setting the fy to 0? at 4:53
i needed tgis so bad for tomorrow's test.. tq :)
They are already critical points. What you're checking is whether they are local maximums, local minimums, or saddle points.
@hellodarlingyu u r very welcome!
find all the local max/mins like he showed you, then plug those into the original equation and whichever is the biggest or smallest is the global max/min
After so many years, THIS MAN IS STILL ON FIRE!!!
wow! you make it look so simple! well explained and t's understandable! thanx buddy!
@patrickJMT i hear ya...ppl always make fun of me cuz i stumble wen i talk...but anyways...my old professor gave the class a hard time cuz he never cared to have active teacher-student involvement. My other professors would always ask how everyone was doing as they get ready for lecture & would respond to emails...but this guy was way too stern & i felt like he didnt care that we all needed extra help...now i get help from youtube n other resources
@Mathieu Nobert: redo your arithmetic; it is 1/3. You probably did this:
(-2)(1/3)*(-2)(1/3)-[1-(2*2*(1/3))^2]
What you should have done is:
(-2)(1/3)*(-2)(1/3)-[1-(2*(1/3)-2*(1/3))]^2
You misfactored and dropped a coefficient along with its sign.
at 3:18, he means to say "'Cause again, Y is a constant."
I really appreciate your work pat!
What do you do when there are multiple constraints that are inequalities?
I lvoe how the whole time your going through this probably your groaning with me like ughhh this problem is long and in my head i'm thinking the same exact thing . Haha. Thanks a lot . Your videos are very helpful and I'm a tutor for HS students and I always recomend them to you in areas they are struggling.
Is the proof for the Second Derivative test really that bad? My professor said "The proof is beyond the scope of the class." Oh, and you rock Patrick this video helps out a lot!
I'm sorry your right you did do it right and you apparently took the time to put this on you tube. Thank you.
Any chance of getting a video that focuses on regional constraints with multiple variables?
You save lives! Thank youuu! :')
yeh very helpfull
Funny thing is every problem my Calc 3 teacher does on the board are the exact same problems you do here. I havn't found a single problem he has done in class that you don't do in your videos.
are the four points to check already critical points? or are u checking them to see if they are critical points?
Exam TOMORROW !!! Thnx this helps
Patric, I was lost when you use y=0 and y=1-2x and plugged into the partial Fy. You end up with x=0 and x=1 but where did you plug this numbers to get this values (0,0) and (1,0)?
These are partial derivatives, Fx and Fy
@patrickJMT How about when you're asked to find "The extreme values of the given function on the indicated interval". Is that their way of asking for local/relative value?
There are so many names for this stuff, it gets confusing after a while.
thank you very much for this tutorial. You work is very much appreciated
So far I've taken the first 2 calcs only becouse of you :P Tomorrow is my third one, wish me luck :D
dude I love ur vids!!!! u the man!! thanksss!
this is super clear, thank you so much!!!
Hello, Would I be right in saying that, if you have a function F(x), with derivative F'(x), and we know that the roots of F'(x) are x=a and x=b. Then if F(a)>F(b) then we have a Max@ (a, F(a)) and a Min@ (b, F(b)), because the former is higher than than the later. Can this method of reasoning be used as an alternative to checking whether the second derivative, F''(x) 0 ? Your videos are an inspiration. Thank you.
When you are taking the derivative of xy-x^2y-xy^2..isn't there a product rule because x is multiplied by y and x^2 is multiplied by y and x is multiplied by y^2?
12 years later.. still helps
math don't change :)
@@patrickjmt i was saying that.. nowthere are many other videos from different channels.. but still coming for you..
CALC 3 test in two hours :S
mine in the morning!!!!
my final is in less than two hours!!!! omg!
got an A in cal 3 chesssssss
^^congrats!!
Magalie Bravo How did you go?
seems like you have a video for everything i need thank you so much
Do you have a video of single variables? Can't find it anywhere. I don't get the difference between local and global. :-(
THANK YOU!! you are better than my professor.....
You are great person , and I get learn fast with ur explained thanks master😘😍😚
Hey Patrick, thank a lost for posting this video. You have such a good way of teaching. I came here because after doing some homework problems, I get really frustrated when (for ex.) partial x = 3x^2-x =0. What I kept trying to do(since x has 2 values) was complete the square, but I kept getting wrong answers. Can you please explain why completing the square and factoring out x give different answers? Am I doing something wrong?
11 years later, still helping noobies
Can we use Fyy > 0 to check if the point max or min ? or we must use Fxx ?
come on guys donate some money for this guy, hes the man..
This guy is a legend
This is extremely helpful. Great man
what if D>0 but fxx is neither > or
Big brain 🙂
Given function f(x,y) = x^4 + y^4 - 2(x - y)^2,
where f(x,y)≤ 0.
For all values of (x,y) near (0,0),
f(x,y)≥f(0,0) → At (0,0) f(x,y) has a local minimum
f(x,y)≤f(0,0) → At (0,0) f(x,y) has a local maximum
OK, so how do I know if f(x,y) is greater or lesser than f(0,0)??
what i don't understand is.... when finding the crit points, how do you know when to plug "x" or "y" where?
great video really helped me out
Hey PatrickJMT, love your videos.
Just one thing, it might have been mentioned already, but at the beginning when your giving the definition, isnt it suppose to be "When D = 0, there is no local or max min" not "When D < 0" ??
Thanks! Keep up the great videos!!
just spread the word about the videos :)
Couldn't you have used the hessian matrix and plugged in the critical points instead?