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Let P(x) be the Lagrange interpolating polynomial of 1 f(x) == 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 - 0.076

Let P(x) be the Lagrange interpolating polynomial of 1 f(x) == 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f(x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 - 0.076

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f (x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 O - 0.076
Transcribed Image Text:Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 2x² + 2 at the points x, = 0; x, = 1 and x, = 3. If P(x) is used to approximate f (x), then an approximation of f'(2) is most nearly: - 0.083 - 0.667 O - 0.100 O - 0.076
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