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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let P(x) be the Lagrange interpolating polynomial of
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:
- 0.076
O - 0.667
- 0.100
- 0.083
Transcribed Image Text:Let P(x) be the Lagrange interpolating polynomial of 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: - 0.076 O - 0.667 - 0.100 - 0.083
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