Tangent Plane Approximations

In this video, I give the formula and use it to find a tangent plane approximation. Both the tangent plane and the actual numerical estimate are shown.

[EE-pqyn]

patrick...you are the man...you've been helping me out alot since pre calculus...now im in calc 3..when i have a new topic, i always look for patrick are the best and easy to follow....thank you

[shaeidpatwary]

For all the Engineers out there - we should donate to Patrick for helping us in our journey. :)

[junwagh]

I am taking calc 3 right now. I was doing well on my tests so I slacked off and started focusing on other classes. It's the day before the final and I realize that I have forgotten everything except for series, which is the last thing we did. I open the book and have no clue where to start. I stumbled on your videos and they are PERFECT. I'm getting a refresher and watching you talk about hte topics, all the knowledge is just flooding back. You have inspired me to make videos like these.

[jacobacunavirgen]

Thank you so much! I am an engineer at Cal Poly SLO, taking my last calculus class. Calculus 4! I always watch your videos after I go over class notes. They help to reinforce the lesson. I appreciate your clean way that you present problems! :)

[BenLevitt]

Thank you so much! You've been helping me master the basics of math throughout my engineering major for almost a year now! I've never commented on any of your videos so I owe you one!! Thanks so much and keep it up!

[kewlman]

dude, you helped me immensely in calc 2, and now you're helping in calc 3. you sir, are a gentleman and a scholar

[MovieTrim]

reliable as always. I cant wait to be rich to donate half of my wealth to Patrick xD

[noone-dvjo]

Thank you very much, you have helped me get an A from precalculus all the way to Calc 3!

[danieljamescarter]

You really are such a boss for doing this. You're helping sooo many people. You're making a difference in life. Whataboss

[Gixxiemoto]

You're a life saver, i don't mind the adds as long as you save my life like this everyday!

[bryank]

THis guy has made a video on every single topic of my exam, god bless

[mikeygg]

I love how you sounded so guilty when you said you were gonna use a calculator xD

[patrickjmt]

@azntranc3951 ok, that is correct. there is a charge to download them for offline use.

[patrickjmt]

to be more precise, they start with:

*heavy sigh*

ok. in this video i am going to talk about

(and then i ramble on)

[julianadams]

If only my professor can explain things this well.  Thank you PatrickJMT

[user]

The way you explain Calculus is just fantastic.

For your website, my only suggestion would be to group together all of the mulivariable (Calculus III) subjects together under its own section.

Thank you!!!!

[JC-wgxn]

I needed help on a question and lo and behold, the example in the video is word for word the same. Feels good

[shnoogums]

thank you so much for your videos patrick! I would not have passed calc 1-3 without you :')

[erithug]

lool that is soo true.. i was saying that to myself before.. i like how patrick starts his videos ..they are so consistent

[taekwondotime]

Thanks for covering this topic! :)
Nobody else seems to cover it and it's on the national engineering exams.