Finding the Linearization at a Point / Tangent Line Approximation

[bryan91292]

Can you do it with two variables lol.

[patrickJMT]

@bryan91292 yes, lol. i already have.

[serioushamster]

I think he forgot to multiply by 7 at 1:49

[QQLePewPew]

7*2 which is 14... why did I write 12?

[BlastedCrayonx]

<3



[guitar5499]

highschool calc ab/bc midterm tomorrow.... hip hip hooray

[patrickJMT]

@guitar5499 good luck!

[LivinOnDaMusic]

I have gone on here for help so much that when someone asks me "what are you doing tonight" i say i have a date with patrick :) they all know that means ill be studying with you as my tutor! Thanks for everything!!! <3

[GoldenFINE]

Absolute life saver. I'll bet you get quite a few views around this time of the semester lol.

[brendabbycakes]

This video is helping me out ridiculous amounts in preparation for my calculus final tomorrow! :) You're awesome, thank you for sharing your abundant knowledge of math with us in a way that is easy to understand.

[patrickJMT]

@brendabbycakes no problem : ) good luck on the final

[theXfan]

@patrickJMT You are the man, Our teacher somehow explained it differently, Thank god that now i know ionization can be found by finding equa. of tangent line !

Much simpler

[sallyxoxo3]

thank you you were a great help!!

[84Porsche944]

one day, when i am an engineer, you will be receiving quite a donation for your countless videos that made it possible.

[patrickJMT]

@84Porsche944 ha, that is what everyone says : )

[ian559fresno]

@patrickJMT don't worry, it'll be a reality one day.

[AZNInvAZAN]

YOU ARE AMAZING

[JayJay4evah]

LEFTIES UNITE!

[ultimazer0]

You sound like you need some Theraflu. Or a nice bowl of chicken soup.

[patrickJMT]

@ultimazer0 maybe you can go back in time 3 years and help me out

[aaymanbd]

Awesome stuff! Keep up the great work :)

[FootballSoldier11]

lol "why did I write 12?"

[Nightrain602]

This is so sick!

[9188tennisgirl]

Patrick...stop being such a beast at life.. or at math i should say :)

[DAsahutube]

thank you #thingsyouhaveheardbefore

[DAsahutube]

thank you #thingsyouhaveheardbefore

[paintank9]

lol i need you to do this now except with the equation f(x) = Tan x, a = -3.14(pie)/4

[kevtyan]

you are a god.

[patrickJMT]

@kevtyan nooooooooooo

[bobman212]

Thanks, my teacher is an idiot but these are SO much more helpful, it's like having a personal teacher

[faeriedustgrl]

thank you for making sense!

really like that i can understand you instead of spending time deciphering thick accents and bad handwriting haha.

[jlmaricela]

Thanks for the videos :)

btw, ur using QUEST, huh? :P

[patrickJMT]

@jlmaricela yep, got these probs from ut

[Nimda18]

@patrickJMT hell yeah UT!

[abrahamlincoln529]

i <3 you...

[patrickJMT]

@xFlenchx thanks... now get off your knees.

[hiphop1andrbbabe]

I love you.

[hellothereyoungsir]

i love you. my calc teacher cant teach for crap.

[crazyasianskills]

PLEASE PLEASE PLEASE come and teach instead of my teacher. Either that or I have to convince him to play your videos instead of lecturing for an hour and a half.

[arsevela33]

MORe linear apprx problemss lol :) u rockk

[ermitz90]

Patrick thanks a lot, you save my life.

p/s: from M'sia

regards,

Patrick :)

[SaraNicolette]

'Viva UT'! <3

[cornhead1997]

cant thank you guys enough! all of your videos are a huge help

[patrickJMT]

@cornhead1997 not: you guys... but: thanks Patrickjmt!! : )

[pantsuck10]

thank you so much for this,if you ever want me to suck your cock i totally will.

yes a guy is writing this

[Lotrioni]

can you show us linearization of a 2nd order non linear dynamic system with two variables

[jkisgay]

hahhaha, "why did i write 12"

[DayOldBiscuit]

You write uncommonly fast.

[e7lenita88]

I love you! thanks lol

[TheRyne69]

THANK YOU SO MUCH! I have a calc quiz tomorrow and had no idea how to do this!

[imaginarydynamite]

Thanks bro, cool video

[SRLBamBam]

Thank You! This was more insightful than the 15 minutes my math teacher dedicated to it. :D

[Aquaria2291]

Why did I just learn more in these 4 minutes than I did in the one hour and 15 minutes my professor spent going over this in class? SMH.

[metalmartin1]

Completely Agree, but its because calculus teachers think we care on how it work, but we all know that none of us care how or why it works just how to do the freakin questions get a good mark and forget everything after we pass the class, unless the nerd wants to know how or why but he already researched the shit and does it for fun :)

[Crazykid0707]

depends how you'll use it in life

[explicitj0yee]

@Aquaria2291 I know right. . . He makes calculus so easy :D

[101ptown]

wtf is going on

[bxdiamonddd]

thanks! helps alot!

[mainhoondon21]

Thank you so much Professor lol It really really helped

[Fridda3]

Thank u :-) u r a genuis :P

[shadowltds]

I spread the word about your site like crazy at my school... I call you the Math GOD!

Thank you for showing me the light. Keep these videos up here forever I promise when I graduate BECAUSE of you I am going to donate a lot of money to your site... Truely talented my friend

[neopia9]

Hey, that actually made sense! Thanks!

[FaLLinDestiny]

how do you know if it is over-estimate or under-estimate?

[ohmyfeilunhai]

I LOVE YOU.

My final exam is tomorrow, and I had NO IDEA how to do this.

I LOVE YOU.

I LOVE YOU.

I LOVE YOU.

Please don't ever go away.

[SIGMAFORCETHREE]

why life gotta be so complicated. Thanks for making it simpler :D

[nickbuchy]

thanks so much man!  i have my ap test tomorrow and now i know how to do this! youre a life saver!

[love1another09]

You are amazing, thanks for making these videos... they are so helpful! I started getting A's in my exams ever since I started watching these videos. You really "saved my life" 'cause I was failing my calculus class!!!!!!!

[patrickJMT]

glad the grade is better : )

[jkline1124]

i'm lost.

[naix319]

gogo patrick!

[patrickJMT]

: )

[aruarian1991]

thank you soooo much, my teacher said to figure it out yourself and i was freaking out :)

[legend452]

One of the most common ways students are told to linearize equations is through Taylor Series (Ignoring terms higher than second order). If your function had multiple trig functions would you apply Taylor series to the whole functions, or just the trig functions within the whole function?

[patrickJMT]

would you apply Taylor series to the whole functions, or just the trig functions within the whole function?

i dont understand what you mean here

[legend452]

Let's say f(x,y) = sin(x) + constant/cos(y). I guess what i'm asking is how you would use taylor series to linearize that equation which contains trig functions and two variables?

[patrickJMT]

well for an equation of two variables, then you would use a tangent plane approximation, and not a tangent line approximation; i would not use taylor series at all to do this

[jblze024]

good lucks on the calc tutoring

[patrickJMT]

no luck needed... i need employees at this point.

[onlyone1990]

How useful! I was having trouble with linearization but this helped me visualize more. Thanks (:

[patrickJMT]

glad it helped!

[gdawg444444]

If you've ever seen Seinfeld, my teacher is like the soup nazi but with math. I feel like he is always saying,"No math for you." But it's all good cause i got it now! THX

[patrickJMT]

ha! nice!

[joojoo00oo]

i swear ur place is in heaven :) than you thank you thank you for ur time

[patrickJMT]

ha! thanks : ) we will see!