1ls3_lectures181920

Quadrabc approximabon to f x around xa f

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Unformatted text preview: matches the value and the slope of the funcBon at x=1. L( x ) = 1 + 1 ( x − 1) 2 4 3 The quadraBc approximaBon matches the value, the slope, and the curvature (concavity) of the funcBon at x=1. f ( x) = x € 2 1 0 1 2 3 4 5 6 7 8 9 € T2 ( x ) = 1 + 1 ( x − 1) − 1 ( x − 1) 2 2 8 € QuadraBc ApproximaBons To find the quadraBc approximaBon to a funcBon f ( x ) at the base point a, we match the value, the first derivaBve, and the second derivaBve at the point a. € QuadraBc approximaBon to f ( x...
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