Calculus 3, Multivariable differentiation exam review (Fall 2019)

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Note the last comment at the very end should have said a "4" not a "3" as the upper bound...

0:00 Introduction
2:33 1 - Domain
11:08 2 - Level curves
16:46 3 - Limits
24:10 4 - Tangent planes to a surface
33:40 5 - Tangent plane to an implicit surface
39:46 6 - Properties of the gradient
50:09 7 - Directional derivative
53:35 8 - Implicit differentiation
1:02:20 9 - Chain rule
1:14:09 10 - Linear approximation
1:20:33 11 - Taylor polynomial
1:27:53 12 - Second partials test
1:39:55 13 - Absolute max/min
1:54:10 14 - Lagrange multipliers
2:01:06 13 - (revisited)
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I'm taking the exam this evening, your video has been so helpful!

thescientist
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Prof butler thank you, god bless you, you are the bestttt teacherr.

iwabekun
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You are legendary for posting this. Who knew Jack Black would teach me Calc 3 on youtube.

isaacstall
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It's great work. Thanks professor

anjanbhattacharjeesir
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19:35 I don't understand how it is DNE. If x^2 and y^2 go to 0 doesn't the value become '0/0'

ThePoker
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Thank you for this; these problems are very helpful

keldonchase
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at 27:33 how do you know fx and fy are equal to 1

thescientist