Exploring 3c 16 6 Part 14

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  • Using point-normal form to get an equation for a plane tangent to a level surface.
  • Defining a smooth parametrization and the principal unit normal vector.
  • Given a function z= f(x,y) we find the tangent plane 2 ways: 1. Using the local linear approximation. 2. By creating the level surface ...
  • We look at the relationship between the gradient (when it is non-zero) and the level "things" of a function level curves for a function ...
  • Calculating a directional derivative for a function of 3 variables.

In-Depth Information on 3c 16 6 Part 14

We continue what was started in the last video, calculating the same surface area 2 ways in order to compare what happens when ... Defining the directional derivative. Parametrizing cylindrical surfaces and surfaces of revolution. Introducing the notion of a parametrized surface; parametrizing the unit sphere in terms of theta and phi.

Calculating a directional derivative. We see that using chain rule allows us to calculate directional derivatives by simply taking a ...

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