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Given the points x = -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 x = -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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the points x = -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 -1/6
Transcribed Image Text:Given the points x = -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 -1/6
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