Calculus 3: Tangent Planes and Linear Approximation (Video #14) | Math with Professor V

Introduction to tangent planes to a surface; finding the equation of a tangent plane to a surface at a point; differentials, using the tangent plane as a linear approximation. Differentiability of functions of two variables using the definition and easier theorem. #calculus3 #mathtvwithprofessorv #tangentplanes #linearapproximation #youtubemath #mathprofessor #calculus #mathvideos

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[ahmedalshangiti]

Appreciate the excellence in explaining this lesson. Thank YOU!

[valeriereid]

Appreciate another well explained lesson, thank you for making this available.

[eugeneeugene]

It is still not clear to me why this community doesn't have more than 150k members😮.

[antoniosantos]

I just have to say thank you SO much for making these, I have been showing your channel to my Calculus 3 class and we are all watching your videos now because they make so much more sense!

[emirhamarat]

In 28.18 why normal vector would not be (-1/4, -1, 1) but (1/4, 1, -1)? I mean how can we determine which direction vector should come first in cross product?

[spdas]

Mam, kindly explain which is z here ? On the plane or the curve ? Love and respect to you for your kind teaching. 🙏🇮🇳

[ryanhernandez]

I took my quiz in this topic, I got an A. Thank you so much!

[brittone]

at 9:39 I dont understand how you got (y+1), shouldn't it be (y-1)?