Lagrange Error Bound

Learn how to use Lagrange Error Bound and to apply it so that you can get a 5 on the AP Calculus Exam.

[@oscarortega4422]

the taylor series for sin(x) to the third degree is x - (x^3/3!) not just x- (x^3/3)

[@simonstead93]

Your handwriting is absolutely fine, and you don't write anything down that you don't say out loud. Props!

[@JaganDoodala]

This was excellently explained, and the video was incredibly precise! Thank you so much for your time!!!

[@boystoys5000]

Jagan Doodala That was the most constructive comment ive heard

[@geografixxxx]

@@boystoys5000 It was an encouragin comment.

[@MissBookGoddess]

bless you and your firstborn child

[@jaredrice354]

Norbu Tsering he's on his own

[@adityabhardwaj3495]

@@jaredrice354 Sad

[@geografixxxx]

@@adityabhardwaj3495 Happy

[@jextejt]

Just a quick note about the 3rd degree Taylor Polynomial for sin(x) should be x - (x^3/3!) or x - (x^3/6). A small error here, but it might be of concern to a student just starting out with these sorts of things.

[@onice331]

the confusion that i have dealt with for the last week finally makes sense! thank you so much!

[@stellaveazey8988]

thank you so much! figuring this out has been very frustrating, but you explained it very well.

[@only20frickinletters]

"Learn how to use Lagrange Error Bound and to apply it so that you can get a 5 on the AP Calculus Exam." Darn! I wanted to learn about Taylor polynomials because they will be useful in life! /sarcasm

[@only20frickinletters]

gl on y'all's APs!

[@mattg4531]

Norbu Tsering they were in the past. Nowadays we have calculators to evaluate elementary functions.

[@DevinGagnon]

This is the best I have ever heard it explained, thanks so much.

[@AlexSchendel]

Thanks! I finally understand how to use the formula I wrote down :)

[@alexluwees3484]

How do you find the x that maximizes that function ? What if for example you had the 4th polyn of sinx , that means that 5th power of sinx would be cosx.. Then your max value would be 0 since (sin0 = 1). but "a" would be also zero, so now you have cos(0)/6! * (0-0) which is zero. What am I doing wrong ?

[@b-e5619]

The thing is that you don’t have 4th degree of sin(x). I think we just assume they will provide us odd numbers for sine and even for cosine. It also boggles my mind.

[@pixelmine2]

Watching this day of the exam because i suck at this 👊❤ tysm

[@ramka5861]

How to find out sin(0.1)? Is 0.1 in degrees or radians?? Please explain.

[@DynamicRoulett]

it may sound dumb but how come sin x is maximized when x is 0.1?

[@leoz4651]

Good video, quick correction, the third degree for sin in taylor has a factorial in the denominator, no big deal, thank you again

[@MakExITxHaPpEN15]

Thanks this made everything clearer!!!

[@arunvenkit5373]

Thanks so much, this helped like crazy!!!

[@trm3177]

In books and other explanations I've seen they max sin t=1... not sin (0.1) ignoring the interval [0,0.1]. I think your explanation makes more sense but who is correct?

[@poetic5604]

Pretty sure it's gotta be sin(0.1), as we have to maximise sin(x) for interval x belonging to [0,0.1], and since sin(x) is an increasing function from [0,Pi/2], it is safe to say that in order to maximise sin(x), we have to input x=0.1

[@pikachuincorporated8483]

Excellent explanation.

[@cowgoesmoo2]

Awesome video, nice and short.

[@vinayA-h9k]

thanks a lot man

[@beatleplayer1011]

Thanks for clearing it up :)

[@evanalmonte6162]

My question is, Would the error be greatest at x=.1 since the Taylor polynomial is centered around 0?

[@corks8807]

Evan Almonte i think thats what he said.

[@dominatemath]

Very helpful. Thanks.

[@leowang2972]

The best way to cram before the exam

[@XaviShaw]

Very good!

[@squidwardonachair6894]

thank you kind sir

[@Kamadaytrades]

Helped me out thanks

[@leowang2972]

Thanks. I like it

[@minlu8547]

Thank you!!!!:)

[@MrRenanwill]

Lagrange Polynomial is not the Taylor Polynomial. Change the name of the title (and description) to "Taylor error bound" or something like this.

[@BondedSeven]

How did you know a = 0

[@philn7457]

He stated that the polynomial is centered at 0. "a" represents the value where the poly. is centered.

[@kevinhu6961]

Where did he get (0.1) for the last step?

[@aldenmoran9823]

fr

[@FireSymphoney]

blessedness in the air

[@龙雨-i6o]

thanks.

[@johannsebastianbach3411]

You da man!!

[@Watermeba]

take my math test for me plz

[@jisidro4]

He sounds like Michio Kaku!

[@DennisBolanos]

You're funny.

[@jacksontet]

this is just wrong, it should be sin(c) not sin(x) making it all jsut 0

[@turtleomnom2673]

bruh it was that easy

[@jadenyuki7001]

he probably meant 3!

[@jiwonha2517]

? shouldn't it be -(x^3)/3!

[@viruskiller18]

cant hear a thing :O

[@g00gleh00]

Look at dat profile pic. Roonescape i see!

[@BattleslashX]

Look at that increase in view count.

[@supagartx2]

i'm sure it was a great video, but i couldn't get past the first minute because i couldn't read your handwriting!

[@aldenmoran9823]

thats on u lmao. wait hold up u already graduated college thats wild. u probably wrote this while u were in highschool 2.

[@azaz8398]

and i thought my writing is bad.... no offence

[@pkrishnasuresh]

Great explanation