Calculus 3.05c - Linear Approximation

[stokes111111]

if you go to purple math and type in meaning of slope in the search, in the first paragraph, it shows you another way to read the slope that isnt really taught in school

love this video! freaking awesome.

[wgordon86]

could not have been explained any better... thanks

[naughtybojz]

now it makes sense for me...thank you for the great explanation..but my stupid teacher at school couldn't solve an exercise that included the trig function...we had to find the linear approximation of sin(1) and sin(9/4)..if u can explain that to me that would be so great..thanks!!

[cchung34]

I've said so many "Ahs" and "Oooohs" in this video, it was hard to approximate. #punny

[soccerskills9345]

You're writing beats any other video I watched. The clarity of your writing makes it easier to understand, thanks!

[Nickuncle]

I only wish there was something for more complicated linear approximations such as sqrt(1+2x).

[sallyxoxo3]

thank you, you were a great help

[nickrohn93]

oh wow, thanks.

[suminoCHU]

Thank you so much for your brilliant explanation! I sat in class being the only person who seemed to not understand anything going on. This really helped a lot (:

[bjgirl2011]

omg this is soooo clear...learnt more in a couple minutes than i wouldve learnt within a million hours of class!!thnxxxxxxxxxxxxxx!

[Supermodoz]

Thanxxxxxx So MuCh :D

[marHAVIK]

I wish he was my professor!!!!

[331319]

Thanks, you really helped me a lot man.

[D3572]

Thank you so much for this video. I'm taking calculus at UCLA. Neither my professor nor my TA explained this as clearly as you have. Thanks!!

[marHAVIK]

@D3572 Same here, except I go to UCI lol.

[MrSeanyA]

Awesome! Make more videos!

[honestnegro]

I love you! I can do my homework now!! I like that you gave a real life example then gave the formula. Most classes just skip to the formula and it has no meaning

[imnik24]

when is math fun?

[CookieKiller473]

Thank you so much this was an amazing explanation!

[L0L0rox]

THANK YOU SO MUCH! Crystal clear explanation. Best video on YouTube for explaining the concept of linear approximation so simply. I wish you were my math teacher!

[TheFubit]

You sir. Are awesome.

[ramonelambert42]

great learning of approimaton

[holypupppet]

Beautifully explained

[Joesire]

Thank you I understand now. Tricky stuff

[moponyo]

this is a brilliant vid dude...out dont know what these guys are saying, you solved it correctly

[jpeter200]

nice vid man, Im reviewing calc 1 stuff and I never really got linear approximations before.

Thank you

[Osman9100]

This very like to Mclaurin series?

[Skizzorhands]

OOOOOOOOOOOOOOH woah sudden epiphany!

Thanks for the vid!

[mariomaruf]

I thought your username was Derek owns.

You should make it Derek owns.

[MistrEgg]

This is very good because it allows you to understand the basic ideas of linear approximation without clouding the understanding with the concept of differentials.

[thekillerz12345]

your writing is beautiful

[kristofferinus]

i learned..thank you!

[SpadeSerenade]

you sir, are my hero. it's 2AM and this is exactly what i needed to complete my hw. thanks.

[985Tanner2285]

wait if the slope is rise over run and the slope is 1/10 wouldn't when you go the right one you go up 10?

[1462895376]

@985Tanner2285 I think you should take english classes cause you cant listen or understand words. Rise means go up, Run means move to the right/left.

Rise over run, 1 over 10, rise 1, run 10.

Rise .1, run 1

go back to Algebra 1 NOOB!

[zakily]

@985Tanner2285 no you go to the right one, and up by 1/10th.

[skulakk]

@zakily rise over run...rise 1 /run(sideways) 10

[skulakk]

@zakily He actually did this problem wrong. it is supposed to be rise 1 and run 10. My Calc teacher showed us this and we all shared a laugh seeing his did it wrong.

[bp56789]

@skulakk What are you talking about? It looks correct to me.

[newhyperbeamattack]

@skulakk Then you are not very bright. The slope is 1/10 which is the same is .1/1. If he goes to the right 1, then he is supposed to up .1 (which is the same as 1/10). He did it correctly.

[jpeter200]

@skulakk

I worry for your calc teacher.... 1/10 is the slope of the tangent line. He goes over one to because the value of the function he is approximating is root(26).

[niroelito]

That was awesome man! Thanks a lot!!!

[92myusername92]

Awesome!!!

[d7yem]

i love u man :$

now i got it :)

[hiphop1andrbbabe]

i love you.

[frankbridenhagen]

You are so much better than the textbook!!! And the textbook is better than my professor!!! Great job!!!

[srslayerz]

i like this.. how do you write so clearly on computer? marry me

[Tempestoffrost]

good video



[7Lecaf]

thank you!~~~you're an excellent teacher.

[vidfreakk]

ty that was good

[FLCL2010]

where is the approximation part?

[tnmr42]

Excellent video. I never learned slope as rise/run so I had to watch the end of the video a few times in order to translate the equation into terms I understood, but other than that this was extremely helpful. You have beautiful handwriting :D

[chattersworld]

Hey , Thanks . I am going to finally pass calculus because of you! I have Linear Approximation from last 3 days...should have seen this 3 days ago. Thank you Thank You!!!!!!!

[axespeed]

excellent explanation!

[mrdamoon67]

thanx

[ianharwood]

very good video! thank you kindly :D

[kennis942]

NONONONNNOONONON!!!!!!!!!!! where you get the nuber five from ?!

[derekowens]

That's the square root of 25. We take the square root because the function f that we are doing the linear approximation with, in this example, is f(x) = square root of x.

[blakethefish1]

@kennis942 lol. nuber five!

[HighbulpIII]

these are excellent quality videos and very instructive. Keep up the good work!

[SumayyahMya]

You're a very good teacher Thankyou!

[silentstranger]

Thanks for making this video. My professor and textbook give the equation of course, but I never understood the reasoning behind it and how to use it. Your video definitely helps :)

[K4kashiSensei]

thanks mate. very well done.

[Friday2031]

Thank you so much! You teach better than my teacher :) Please keep the videos coming