Tangent planes | MIT 18.02SC Multivariable Calculus, Fall 2010

Tangent planes
Instructor: Joel Lewis
View the complete course: ocw.mit.edu/18-...
License: Creative Commons BY-NC-SA
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More courses at ocw.mit.edu

[@mbongiseniherbertmagutshwa9354]

THAT MOMENT HE SAYS PAUSE AND TRY T OUT THEN COME BACK AND WE WORK TOGETHER #ifonlyheknew lol

[@silentdon40k]

Damn, this guy makes other math teachers look like mad prophets blabbering incomprehensible incantations.

[@TheMerchantDS]

so fucking clear

[@AceofDlamonds]

Very understandable. Thanks.

[@guixien]

Thanks!

[@ryanrinn8264]

great video. thanks a lot.

[@thanuroxy]

thank you so much.. this video was extremely useful. thanks once again..

[@gokulakrishnan406]

Thank you sir for the amazing video

[@halthobe9728]

thanks a lot

[@DANGJOS]

he does!

[@mbsoysal87]

Nice video, thanks

[@denniswingo2004]

Great video

[@vijayanandvadhyar7224]

Commendable work sir

[@ghadamahmoud4720]

Thanks

[@bpk7777777]

Great Help....thanxxx

[@bobkameron]

nice

[@KruspeFTW]

I feel like an idiot for laughing at his voice... great video though.

[@PaulyM856]

The man graduated from one of the world's most prestigious universities and we make fun of his voice over the internet. What fun. XD

[@leonardo4ever]

Your examples are very clear. Thank you very much!

[@cluracan2670]

Joel Lewis you rock! Folks! Give this man a raise and a sandwich!
Do you have other courses/books/etc that you teach that are made available? You're fantastic!

[@somebody4061]

8:25 I lol'd

[@Newbport849]

+someboodee LOL

[@AceofDlamonds]

someboodee
lel

[@darkseid856]

😂👌

[@faithnassiwa]

I have been struggling with this! Thank you for the clear and concise examples.

[@LAnonHubbard]

Appreciate this video. For the 2nd problem I automatically fell into the long winded way of finding the tangent line's equation by getting a gradient for the normal line as 6/7, then remembering the normal's gradient is negative reciprocal (-7/6), then solving for c to get y = (-7/6)x + (19/6) and 7x + 6y = 19. It was good to see the far better way of dotting with gradient vector and getting zero. Funny thing is this was what I did for question 1 but shows how you run on automatic sometimes.

[@quitejaded]

Thankyou. It so simple!! Why do people make complicated?

[@ellencarlander7491]

What if I can't solve for z? Does the gradient still work if the "z term" involves x and/or y?

[@JansthcirlU]

Is there a strategy to find the function z when its gradient is known? Perhaps based on some initial conditions?

[@tobianew6493]

if the equation of the sphere and the plane given, how we can get the angle of tangent plane?

[@AmyW-yl5eg]

Thanks, this helps a lot -!

[@aditidalvi9105]

Thanks a lot ❤️

[@doktoren99]

This is real good!

[@woodchopped13]

SO MUCH THIS

[@adinaanhalt15]

well said

[@mathildeottele1320]

And then you have that curve which is an explicit exception responding to particular laws. As you know.
For any integrations we here specifically use complex numbers as imaginary ones.
#WTF 😑