Intermediate Value Theorem

[Urbank06]

Thanks! :)

[n3163]

thumps up ,thats what i can say. 

[playrightbro]

Something about educational videos is more productive than physical lessons. If the majority of a population has access to the internet, how will things like this reform education? Certainly there will be less reliance on local teachers to teach material, this one video by one person has already taught +100k people, what professor could ever hope to do that?

[anair1221]

isn't it -1?

[pieatenthis]

My college calc teacher was terrible at explaining this! Thank you so much!

[RocknRollSmurf]

Thank you soooooooooo much

[beckyjxxoo]

you are so amazing at explaining things. thank you so much.

You helped me get an A- on my last midterm from watching your videos literally hours before the exam. =)

[KayLavin1]

Great job but there is a mistake. 1-3+1=-1 not =3.

[paulinemorewood]

QUESTION, the ivt is an example of what type of theorem? 

[steffenreeser14]

Thanks.. My teacher isn't the best at describing stuff... So this really helped

[albertolinguini]

Youtube has no idea on how amazing your way of teaching is. Your voice is soothing, it doesn't piss me off no matter how many times I repeat your video. Your handwriting is neat and It doesn't grind my gears when I read them. Your nails are cut properly... JUST KIDDING! haha.

Keep up the good work!!!! -BSc student that needs to recall what he did in first year...

[patrickJMT]

@albertolinguini youtube and google treat me well, so no complaints at all : )

[herbpixie]

@albertolinguini If only he weren't left handed! Seriously, Patrick--your videos have saved my life more than once. I went into precal a year ago after a 20 year break from math. You and my excellent tutor are the reason I was able to make a B. Now I'm in calculus, and I'm kicking butt in it. I fully anticipate an A. :)

[hastyguy]

hi thanks so much for this video! just wondering the intermediate value theorem is proven for a given function on a closed interval if there is at least one point that intercepts the x axis?

[BelgarionRiva101]

I love your videos... Too bad they use up my bandwidth every time I need help in math. Any chance you can sell some CDs with all your tutorials in them?

[inukag4ever2gether]

Wow. My teacher took a total of 70+ minutes to explain this to me and i still don't get it. It took you 7 minutes to explain this and i totally got this. Thanks.

[patrickJMT]

@inukag4ever2gether magic! : )

[jackieezy]

I THINK I GET IT NOW!!!

[Byron10301]

Thank you, people like you make YouTube really useful.

[themaxruler]

did anyone e;se think he (patrick) was asian just because there was a suggested video of an asian looking guy (UCLA) in the suggested vids? :P

[Iced0826]

Oh Patrick. You have everything I need to pass Math. I'd just like to point that out and say thanks. :">

[patrickJMT]

@Iced0826 glad i could help : )

[EnglandJCB]

how can M, I, N be equal? didnt get that part (there's is a bar under "<").

[viruslove4393]

Thank you so much!!!!!!!!!!

[Adanmadu]

I cannot express my gratitude enough.... Thanks a million and one times! :)

[onewashere]

Can the IVT be used on a hyperbolic function? In the event of a function like 1/x^2, the x axis is an asymptote, can the IVT be used to prove the x axis is an asymptote?

[applesnnbananas]

The domain in your example questions were not inclusive (circle brackets). The theorem technically only says closed brackets, so could you still state the theorem when solving? If the domain is intentionally altered in such a way (circle brackets), would you just pick a number in between the two mentioned and hope that one gives a negative and one gives a positive number?

[Lateilla]

Everytime i search for a math topic on youtube and i see a vid from Patrick come up in the results. I get very excited cuz that means i'll finally understand !! :D Thanks Pactrick! You're awesome!

[patrickJMT]

@Lateilla ha, perfect : )

[TehParody]

@patrickJMT Perfect? Mind control through math?

[lolrandom70]

dude you are awesome

[lolrandom70]

dude you are awesome

[x3Heroiinex3]

1:42 in between Eminem :D

[Kbomba3]

ooo I was soooooooooo confused in this video thinking the (number, number) was an interval as in x,y points and there must be another x,y and you have to prove that a root exists between those.....I finally realized that those stuff in the bracket arent coordinates but rather the interval they want you to prove root in..

[Crystalkatana44]

TEST TOMORROW....BRING IT ON!!!!

[foofangxiong]

Basically, if I am asked to prove that 1 or more roots exist for a function, say cosX - 2X = 0, I first need to make sure the function is continuous. In this case, cosX AND 2X are continuous, so cosX - 2X = 0 is continuous as well. Next, I need to 'give' 2 values of X, such that the function will be negative for one, and positive for the other (0 and pie/2). By IVT, it will proof that there is a root. May I confirm my understanding on the procedure? Thanks for the video, it helped alot (:

[patrickJMT]

@foofangxiong yep, that is correct. although you only need say that cosx-2x is continuous, not cosx-2x=0 since this is an equation and not a function

[foofangxiong]

@patrickJMT Oh. Thank makes sense. Thanks for spotting the tiny concept error I had. Really appreciate it (:

[patrickJMT]

@foofangxiong it was nothing major, just being an anal math person : )

[ptdrawoh]

Aha! I UNDERSTAND!!! GLORIOUS DAY!

[lietuvaite93]

dude. 1-3+1=-1

[CanUreadMyMind1]

@lietuvaite93 dude, read his comment :P

[rampage222555]

theres bits of brain lying on my keyboard now

[Kn1ghtWing]

Just want to throw out there that I love your videos...every time I need help in math, I first see if there's a video by patrickJMT on the subject before looking anywhere else. Thanks man, really appreciate your work.

[patrickJMT]

@Kn1ghtWing happy that i am able to help you out from time to time!

[SynpaticInc]

You sir, rock. I've been going through your videos like a baby in a candy store. I wish I could hug you. You make math fun, understandable and doable. My grade will in part be thanks to your amazing teaching skills! Thank you! Thank you! Thank you!!

[iExDTechTips]

Thanks for giving a nice explanation of the theorem. My textbook makes me go "???", but your video makes me go "Ohhhh !" :)

Thank you for being so nice and taking some of your free time to do these awesome tutorials for us all.

[patrickJMT]

@iExDTechTips yes, always nice to hear someone talk it out! glad you like them.

[master2814]

thanks really helped

[actionjohnny93]

ok so what your saying is-1. all the work u have to show is plug one side of the interval in and plug in the other side, if one is positive, one is negative, it has a 0 on the interval right?2. is there anything else u have to write b4 u do a THEREFORE statement?

[patrickJMT]

@actionjohnny93 yep that is correct, however this is only valid if the function is continuous

[actionjohnny93]

@patrickJMT ok about it being continuous, 1. which one must be the continuous? 2.. howd u prove its cont., or do u just state it?

[theclock541]

@actionjohnny93 There's 3 steps to prove a function is continuous, and it has to pass all 3 "tests." First the lim as x approaches a exists. This just means there is a limit, and it exits. Second f(a) exists. and third f(a)=L

that's how you see if a function is continuous. private message me if you need any more help

[patrickJMT]

@tammytran4 please read the thousand other comments or the annotations first. thanks!

[andarks]

You explaining this in less than eight minutes = I got it!

My college professor explaining this in at least half an hour = waste of time

Thanks for the video!

[EugeniaT]

You're the best. Thank you so much. You are the only reason why I'm Acing calculus.

[patrickJMT]

@EugeniaT nah, you are the one doing the studying and taking the tests, not me! : )

[nightlight12340]

Thanks so much!

There are so many unqualified teachers at school. This is so simple and my teacher spent 20 minutes, 2 analogies (one about a monk and a supermarket), and one example to poorly explain this!

[patrickJMT]

@nightlight12340 they are trying to make math ' fun '  ! : )

[JamesisaHokie]

@patrickJMT Math is fun... if you understand it. It only becomes a pain when you have a horrible teacher using horrible analogies to explain something that shouldn't be so complicated.

[aindru]

thanks a lot dude! i'm taking AP calculus 1 as a senior in high school. this really helped.

[sueishungry]

THANK YOU! i never really got the concept of this until I finally saw your video! 

[JRodriguez609]

Im guessin you use a helmet-video camera xD .. keep up the good work



[GHO5TeZ]

i should just watch these videos instead of going to calculus lectures... My lecturer is useless

[TheNumber2Pencil546]

ive been using your videos from precal to calc 2. youve really helped me get this far, thank you sir!

[jsgirl01]

it's my second semester in calc :(

but after watching your video's i'm starting to understand it.

thank you.

[aircon]

Wow I wish I found your videos sooner than a day before my AP exam. They are great!

[NguyenEmpir3]

my calc prof is crap at teaching the IVT, i learned it from this vid just 2x of watching. thanks alot.

[JudoChoppethUrFace]

what if the problem doesnt give you a range on the right hand side (ie. you put (0,1) and (1,2) on your problems. my book just gives a polynomial equal to 1

[TheGogetassj]

I thought it was continuous and DIFFERENTIABLE between [a,b]?

correct me if im wrong

[tomownsyourass]

@TheGogetassj nope, nothing to do with differentiability. in my analysis course, we state and fully prove the intermediate value theorem before differentiability is even discussed.

[MatthewLeingang]

@TheGogetassj No, the Intermediate Value Theorem does not require differentiability. You may be thinking of the Mean Value Theorem, which has a different conclusion.

[yosonyo100]

Thank you soooo much.

[thohill]

Is there a video on the Average Value Theorem? I found this one on Intermediate Value, but I don't think thats the same thing.

I love your videos BTW, Greetings from Colorado.

[L3g3nd4ryN3w6]

I shoulda watch this video before I took my exam..

[patrickJMT]

@L3g3nd4ryN3w6 yes, that is usually the best time.

[devilwithwings]

omg juggling college aps and AP calc kills me, this is so much help

[Lekiwi33]

i dont get it..........

[neutral999]

@Lekiwi33 If the line crosses the X - Axis, it has a root value. Simple.

We just gotta prove that the line crosses the X-Axis. If it doesn't, then the answer is that there might not be any root values.

[hellishhk117]

Thank you so much! I'm starting my degree from Video Game Dev, and we need calc 1 and 2, and I just got my book 4 days ago, and this is the third week of class, with my first midterm in 4 days! This was so helpful! I have been confused as to what I am supposed to do, but now I understand this, and also, I would like to know if I can download this video so I can have it on my laptop before the test?

[patrickJMT]

@hellishhk117 there is a link on my channel profile page where you can download the videos - look for the mindbites/patrickjmt link

[drrobseymour]

great video...



[92CUNDO]

THANK YOU SOO MUCH!

[stefforward]

Thank you very much for your calculus videos. They're really helping me a lot. I actually learn more from it than from my own professor.. hehehe.

[pelumiable]

thanks for your videos patrick, now i have high hopes of acing my math finals

[awesomeness910]

his ring.... he's a fellow engineer!!!

[siniaro]

Thanks for that :) Seriously helpful.

[shelley3310]

My Pre-Calculus teacher just began teaching the IVT today and I really didn't understand it. This video really helped me. I'm not that great at math so THANK YOU!!

[bong031680]

This is so helpful....I'm a filipino student, here in the Philippines.. and most of the teacher here are not really good in teaching calculus... but your Video really great... :-) ..

[bong031680]

This is so helpful....I'm a filipino student, here in the Philippines.. and most of the teacher here are not really good in teaching calculus... but your Video really great... :-)

[MrHoffmannTaiwan]

Just finishing up my first calculus course in 20 years. (getting a second degree) Getting 90+ scores on all assignments and looking forward to my final exams - My success is in large part due to your amazing videos. You are an excellent teacher and any students you have taught are lucky to have been your students.

[patrickJMT]

@MrHoffmannTaiwan congrats on doing so well after such a long break!

[master423]

Ugh..This sounds like..Martian to me..=.=

[Username77108]

This is great. Because of this video, I scored an extra 3 points on my calculus midterm. Thank you! :)

[Mitnarfeza]

God Bless Youtube!!!! Why does the professor make it so complicated!!! Thanks!

[pithikoulis]

@Mitnarfeza God had nothing to do with youtube. "Tim Berners-Lee bless youtube" is the right saying ;)

[HelionX]

Idiotic calculus book makes it more complicated than it already is. Thank you. If you make a calculus book it would be a god send. Then again, we have all these excellent vid-lessons in place of a stupid book.

Thank you.

[patrickJMT]

@HelionX i think my calculus book would be just as confusing : ) it is much different trying to read some new material on your own vs having someone help explain it!

[JamaicanMan18]

@patrickJMT thanks for posting, i had a test coming up and this helped refresh my memory...

you should show how to use synthetic division to solve the variable when put into a polynomial function

[O0oSorousho0O]

4:03 DERRRP lol

no i love ur calculus vids their helpful.

i still watch them since gr 12. im in uni right now :)

[strangercandy]

thnx patrickJMT you are great

[halorulesyourface]

you're a better teacher than my calc professor

[paramita31493]

this is great! thank you!

One question: How can we use the I.V.T. to find more than one zero?

[XdanceordieX]

Thank you so much! I finally understand this for my pre-calc test.

[peanutbutterlips]

Thanks dude! You totally helped me understand this theorem! My calculus book made it all wordy with these technical terms, but you just simplified it for me. You rock and thanks a million! :)

[mejiadb]

thanks

[vrghik]

awesome tutorials , sir.. thank u very much

[ViceCityWeMissYou]

Dude you saved me! I have a huge calc quiz tomorrow on the IVT and your vid was super clear!

Thanks man

[Margwli]

I swear to god you teach calc WAAAAAAAAAAAYYYY better than my ap calc teacher. Looks like ill actually have a chance of getting at least a "B" :D

[philizam1]

can you please something on uniform continuity please?

thanks a lot for your help

[philizam1]

Thanks a lot for your help. Can you please create a video on uniform continuity please?

[shinkaianime]

so i have this problem a man running up a hill takes him 20 minutes to run up 10 mins to run down at some point while he was running down he was at the same place at the same time use the intermidiate value theorem to prove your arguetment. I HAVE NO IDEA

[Baeyn]

Added to my confidence in using the Intermediate Value Theorem. Thank you!

[schneebly4life]

I listened to my math teacher talk about this for like an hour and had no idea what he was talking about..... and you have just enlightened me within the first few minutes on how this works and made it obvious y its called INTERMEDIATE (Pick the number between the interval) and how it works thanks a lot...I can now finish my math hw and do good on the test...I hope lol

[TheGerbilFactor]

I'm not sure if it was just me, but the way you explained this lead me to believe the point on the y axis is constricted between N and M, which of course is not true. But just to clear that up to anyone else that might of been confused.

[ChanielDang]

oh my god this tutorial is gold

[Bankaiboi47]

thx a whole lot! I have calc & analytic geom 1 this semester, and this is going to help alot for the test. Not to get on to you or anything, but when you graphed x cubed minus 3x plus 1, you gave it too many curves like it was a x power of 5 graph. hahaha

[patrickJMT]

@Bankaiboi47 glad you like the vids. and i was not trying to graph x cubed.. .just a random graph to illustrate the idea

[JesseLaffey]

This is a great tutorial on something I needed reassurance about great. 5 stars

[patrickJMT]

@JesseLaffey glad u like it

[sk8er1232]

OMG thats the bestttt. Thanks soo much i learnt this in like 2 minutes and understood it with no prior knowledge. there were 2 questions like this on my assignment and i did them correctly. Thanks for helping me get the marks :D WHOO OYEAHHH! YOU ROCK!!!

[patrickJMT]

@sk8er1232 ha, no problem

[Live4Future]

Umm, can u explain the purpose of this theorem? why and where it is used? how does it help? Thanks...

[MrHoffmannTaiwan]

You're the MAN! Thank you so much for your videos! They are GREAT!! They have helped me so much!

[patrickJMT]

@MrHoffmannTaiwan thanks for the kind words sir! glad you like them

[MonaRocks09]

I love him.

[jcamposro]

1-3+1=-1

[Theincapower]

Thank you! this will help me in my calculus final today.

[shahzun]

thank you

[shahzun]

thank u

[pitbullrozh]

thank you sir , great teaching

[Iversonhsu]

thx a lot !!

[rahulr0y1]

oh thanks

[edison63225]

wow!!!very useful~~~

thank u you guy!!

[zakalshah]

thanx a ton.....

[CurtisQuintal]

Good explanation. Its a bit slow but, thats ok

[boggienyc]

great!!!! thank you so much!!!!

[appsocket]

thank you you saved my butt!

[sillisilvia]

THANKS THIS IS SO HELPFUL!

[YellowOrphan]

thank you, I missed the class and it wasn't even in my textbook :s. This was very helpful :)

[weatherleaf]

thanks :)

[xoxglossylips]

thanks!!! you helped me actually get this freaking concept. the textbook didn't help at all, it was WAY too wordy. It was great seeing it visually!! Who cares if you made a small mistake

[TutorWizard]

Woahh!! Dimitry49 ur a piece of work! lmaoo

[glorya04]

goodness everyone can make mistake man , take it easy.. be happy that he is doing that sort of thing online.. be thankful.

[patrickJMT]

read the 8 trillion comments that both me and lots of others have made about it.

[myez]

I'm surprised you assumed nobody noticed it without checking the comments. Take it easy, the man is an asset to all aspiring nerds/geeks (depending on your definition).

[yjb63]

@Dimitry49

Thank goodness you're not an english "tudor"!

The man did fantastic job, and is providing a great service. The mistake is minor, we're all human my friend.

[yjb63]

@Dimitry49

Thank goodness you're not an english "tudor"!

The man did fantastic job, and is providing a great service. The mistake is minor, we're all human my friend.

[yjb63]

@Dimitry49

Thank goodness you're not an english "tudor"!

The man did fantastic job, and is providing a great service. The mistake is minor, we're all human my friend.

[zanngoc]

you are a great man. thanks for all your videos

[GooseyFruit]

lol... it only matters if he crosses the x axis u fucktard... and yes its BEDMAS... soo....

[alyssagailberry]

well aren't you a big bag of dicksuckers?? wtf? I dont give two shits what axis he chooses

[alyssagailberry]

um.. 1-3+1 = -1 not -3 ??

[virtualdummy27]

BEDMAS

[emcunderground]

thats what i was saying.....

[istroublebrewing]

yea thats where i got lost

[Whatsmynameagain03]

It does matter if he's wrong... if you're actually doing a calculus problem involving this lol. Order of operations ftw.

[TheSlimwarrior]

thanks that was soooo helpful

[megakyle]

he did as if it were 1-(3+1). simple mistake, just matters that it crosses the axis which it does

[mc91889]

people remember PEMDAS : addition comes before subtraction.

[RazberryYogurt]

uh except that addition and subtraction are interchangeable, and so are division and multiplication...it could just as well be PEDMSA

[theykilledthemusic]

mistakemistakemistake: f(1)= 1-3+1= -1

[itsmancini]

shucks, i wish i had thought of this theorem.. it makes so much sense now.

[rpgamer08]

i wish u were my instructor, instead i have an international student who teaches and i can hardly understand him...

[gellybelly2]

This is great. Has some interesting applications as well. 5*

[marthamydearesttt]

isn't 1-3+1 = -1? not -3?

[winteryfreshy]

thanks a lot for these great videos. they are very useful, informative, understandable, and clear!

[ash7195]

4:02 :

f(1) = 1-3+1 = -1

[choboko]

It doesn't matter if it's wrong. He's showing that it crosses from positive to negative.

[makaocloud]

matters to me cause im trying to do my homework and i almost did it wrong O.0

[patrickJMT]

uhhh, ok

[cidere13]

he just said that that function would not look like that

[MugLug40]

You need to WATCH and LISTEN before your criticize you belligerent imbecile!

[xxTerryBear]

If you were not listening, he clearly stated that was just an example, he said: "again, x cube minus 3x plus 1 would not look like that"