Given the points xo = -2; x₁ = 0 and x₂ = 1 and let f be a function such that f(x) = 0, f(x₁) = 1 and f(x₂) = -1. Let P(x) be the Lagrange interpolating polynomial of f(x) at the points xo, X₁ and x₂. If P(x) is used to approximate f(x), then an approximation of f'(-1) is most nearly: O -1/2 O None of the choices O 1/2 O -1/6
Given the points xo = -2; x₁ = 0 and x₂ = 1 and let f be a function such that f(x) = 0, f(x₁) = 1 and f(x₂) = -1. Let P(x) be the Lagrange interpolating polynomial of f(x) at the points xo, X₁ and x₂. If P(x) is used to approximate f(x), then an approximation of f'(-1) is most nearly: O -1/2 O None of the choices O 1/2 O -1/6
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 14T
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Question
Q14
Transcribed Image Text:Given the points xo = -2; x₁ = 0 and x₂ = 1 and let f be a function such that f(x) =
0, f (x₁) = 1 and f(x₂) = -1. Let P(x) be the Lagrange interpolating polynomial of f(x)
at the points X₁, X₁ and x₂. If P(x) is used to approximate f(x), then an approximation of
f'(-1) is most nearly:
O -1/2
O None of the choices
O 1/2
O -1/6
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