14.4: Tangent Planes and Linear Approximations (1/2)

Objectives:
7. Define the total differential.
8. Use the total differential to approximate the change in a function.

[@EugeneZ.]

Don't listen to your students, your drawings are awesome!

[@kr1tical41]

So much better than my mathematics lecturers at my university. Thank you so much for these videos!

[@liamstanzmusic]

I feel you brother

[@tahhanu]

I love how my laziness answered your question "YES" when you asked if you should stop and continue tomorrow. (Thanks for the videos, life savior)

[@liamstanzmusic]

Thank you so much for these videos. You are single handedly getting me through second year Advanced Calculus.

[@AugustoActis]

Thank you very much, grettings from Argentina

[@hussain7md166]

Those lectures help me a lot, I'm thankful to you :)

[@james_dinham]

I've watched all your videos, You're the reason i'm passing my shit

[@dennischen7119]

too good, cannot say enough how good it is

[@natevegh4602]

Very concise and straightforward. Thank you!

[@johnngo341]

thank you for spending the time to derive everything and going through examples!

[@tangerinesandvibes]

thank you so much for these videos! your lectures are much easier for me to understand than my own professor's

[@spdas5942]

The best on this topic. ❤ U mam. Thanks from India.

[@ikennao5299]

alexandra, you got the neatest engineering writing in the club!, it flows naturally , looks like journal in code

[@Quintessential.96]

A life saver you are ma'am❤

[@MeetPatel-eh3ni]

Thank you for the lectures! They are so thorough! What pens do you use? I get satisfaction from the little things in life! :D

[@alexandraniedden5337]

I use felt-tipped pens. It's certainly difficult to find a good pen :)

[@butx1555]

You are the best teacher!!

[@elshazlio]

Great review. Strange how there are almost never any questions

[@sodiakabiodun9379]

Thanks for sharing 😍

[@levisloftus]

allahım seni karsıma cıkarandan razı olsun

[@theodoremercutio1600]

Hey, not sure if you're still responding to comments but I'm really wondering what the point of linearization is. Go through the hassle of finding the linearization, only to plug it in and get an approximate value for Z? Why not just plug our point in the original function and get the precise value? Amazing video by the way!

[@calebaniagyei6584]

What textbook were you using in the video please?

[@user-sv9lv5xy2e]

Thank you so much for these amazing videos, they are so clear and I am able to understand everything. Just wondering, what is the textbook called that you are using?

[@alexandraniedden5337]

We use Stewart's Multivariable Calculus (8th edition)

[@brendanbuckner2561]

Awesome stuff, is there a video covering 14.3?

[@alexandraniedden5337]

No, I didn't record that lesson. Sorry!

[@jdz3742]

@@alexandraniedden5337 If you end up covering that lesson this year, could you record and post that by any chance? Your videos are so well explained and are helping a lot of us students understand!

[@lanceward7048]

@@jdz3742 14.3 is recorded and posted now!

[@mohammedalmahruqi294]

I think it is x=a plus delta x Not at delta x Anyway great explanation on the materials

[@uzair3690]

which book are you using?

[@alexandraniedden5337]

Stewart's Multivariable Calculus, 8th edition

[@tanmaysharma1850]

Which book is she referring to? Anyone?

[@zoyakhan3618]

stewart calculus textbook

[@khalidmuhamood4821]

Video 14.3 no available please

[@khalidmuhamood4821]

I request that you add that video to the playlist

[@mokwenamoroaswi4652]

For example 1 aren't we supposed to add 3 instead of subtracting it?

[@arshedjunaid4149]

expand the brackets and you'll get -4-2(+3 when you take it to the other side) which is = -3

[@firdausazman374]

thank you so much geng

[@abodeabode6949]

why my exam is much much harder than ur examples :(

[@buellerferris]

Because you haven't done practice problems with harder examples.

[@uzair3690]

which book are you using?

[@isisyasmim639]

Multivariable Calculus by James Stewart