MATH 32A Lecture Notes - Lecture 24: Tangent Space, Linear Approximation, Quadric
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2 cab ly b new surface z fla b. The linear the tangest plane play the same roles that tangent line did we want linear always nices function to maybesupermessy approximate flag. This is much faster to compute in general with a. Can approximate the value at 69 l l. Lf 9 coincidentally this is exactly fc9 1 i. How are the linear approximation and tangent plane related the. The tangent plane at ca b linear approximation to is f the graph of at ca b. We"ve also seen tangent plane out of the lots of equations that there are. The one where the coefficient of approximation linear for the can be read. So how is this f x y as an approximation we want the difference. Lf x y x g to go to zero faster a b than linearly f is differentiable at ca b. Iim xg cab fc y lfc x a 4 ly b 2 if.
