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Let P(x) be the Lagrange interpolating polynomial of f(x) = x³ – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: 14 10 15 13

Let P(x) be the Lagrange interpolating polynomial of f(x) = x³ – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: 14 10 15 13

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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Let P(x) be the Lagrange interpolating polynomial of f(x) = x* – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: O 14 O 10 O 15 O 13
Transcribed Image Text:Let P(x) be the Lagrange interpolating polynomial of f(x) = x* – 3x + 3 at the points x, = 0; x, = 1 and x, = 4. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: O 14 O 10 O 15 O 13
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