OpenTube

Finding The Linearization of a Function Using Tangent Line Approximations

The Organic Chemistry Tutor

554,023 views

This calculus video tutorial explains how to find the local linearization of a function using tangent line approximations. It explains how to estimate function values by writing the equation of the tangent line and evaluating it. This video contains plenty of examples and practice problems on local linear approximation and differentials.

Derivatives Test Review - Playlist:
https://bit.ly/4rkXTqz

________________________________
Derivative Applications - Formula Sheet:
https://www.video-tutor.net/calculus-...

Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9

_______________________________
Derivatives - Fast Review:
Calculus 1 - Derivatives

Introduction to Related Rates:
Introduction to Related Rates

Local Maximum & Minimum:
Finding Local Maximum and Minimum Values o...

Mean Value Theorem:
Mean Value Theorem

Concavity & Inflection Points:
Concavity, Inflection Points, and Second D...

________________________________
L'Hopital's Rule:
L'hopital's rule

Curve Sketching With Derivatives:
Curve Sketching - Graphing Functions Using...

Newton's Method:
Newton's Method

Optimization Problems:
Optimization Problems - Calculus

Marginal Cost & Total Average Cost:
Marginal Cost and Average Total Cost

__________________________________
Marginal Revenue and Profit:
Marginal Cost, Marginal Revenue, and Margi...

Tangent Line Approximations:
Finding The Linearization of a Function Us...

Differentials & Local Linearization:
Differentials and Derivatives - Local Line...

Estimating Function Values:
Estimating Function Values Using Different...

Antiderivatives:
Antiderivatives

__________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
Patreon: collections

20 Comments

@TheOrganicChemistryTutor Creator 3 years ago (edited) Pinned

Derivative Applications - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html
Derivatives Test Review - Playlist: https://bit.ly/4rkXTqz
Final Exam and Test Prep Videos: https://bit.ly/41WNmI9
Next Video: https://www.youtube.com/watch?v=C5RI5eLzVfo&list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv&index=125

@megancower1884 7 years ago

I like how you break it down. Even the simplest steps are explained and many times needed.

@danielwang4917 7 years ago

You are the actual G, better than Sal Khan because he's huge now... But so are you... Shhhh keep helping us.

@karstenaudette1197 4 years ago

making 1.99 = 2-0.01 was genuinely the smartest thing I've seen in a while that shi blew my mind

@WrathOfArath 3 years ago

Can u just start your own school already? I’ve been attending college and all these teachers do is just buy a course from McGraw hill or Pearson and that’s it.

@abduljalilkazimov3729 4 years ago

Okay i have an exam in like less than hour, if i pass this its because of this man

@justakizuner6359 4 years ago

Your video is clear and easy to understand by breaking down the steps instead of just expressing a theory that is hard to get. Thanks, professor!

@georgesadler7830 3 years ago

Professor Organic Chemistry Tutor, thank you for Finding/Computing the Linearization of a Function using Tangent Line Approximations in Calculus. This is an error free video/lecture on YouTube TV with the Organic Chemistry Tutor.

@piecookies3488 5 years ago

I’m so confused in math due to distance learning, so Thankyou for breaking it down so easily

@Crust3d 7 years ago

This video is flippin gold my dude

@sarahdandar7667 2 years ago

ur genuinely the best math channel on this platform. the goat truly <3

@justinsantos5751 7 years ago

Woah, it is helpful. It may come handy during college exams that will not allow calculators.

@rodolfodancecovers2291 5 years ago

No joke, I actually get the topic, as in to it’s basics and techniques because of this guy. I’ve got no issues with my prof, they're also pressured to teach a lot with so little time. It’s just that toct has sonmuch videos to teach you.

@alecgoesout 6 years ago

this video made all the difference, many thanks

@JeffReams 7 years ago

I love your math videos so much, i ended up buying your Udemy course. Thanks for your hard work!

@nickperszyk6236 3 years ago

this guy can do what our professors never could, teach us

@deepakchauhan1811 6 years ago

I am from India. Thanks fir making such videos it's really help a lot and will give 5 extra marks to me in exam😍

@TylerCooke-q7k 8 days ago

Tangent of circle node should be a line.

Tangential curves, this seems to be a tangent of a line itself. And it is the opposite. This may not be a mathematical term, but tangent curves are cool too. When you see them form