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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c32a1b8-dddf-463e-a897-bdf38512aa5a%2Fb3e60562-2d58-404c-8416-02c877e702f9%2F7gaw8mq_processed.jpeg&w=3840&q=75)
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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