A CLAMPED cubic spline s for a function ƒ is defined by (so(x) = 1 + Bx + 2x² - 2x³, \s₁(x) = 1 + b(x − 1) − 4(x − 1)² + 7(x − 1)³, s(x) = Find f'(0) and f'(2). if 0 ≤ x ≤ 1, if 1 ≤ x ≤ 2.
A CLAMPED cubic spline s for a function ƒ is defined by (so(x) = 1 + Bx + 2x² - 2x³, \s₁(x) = 1 + b(x − 1) − 4(x − 1)² + 7(x − 1)³, s(x) = Find f'(0) and f'(2). if 0 ≤ x ≤ 1, if 1 ≤ x ≤ 2.
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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Transcribed Image Text:A CLAMPED cubic spline s for a function f is defined by
(so(x) = 1 + Bx + 2x² - 2x³,
{s₁(x) = 1 + b(x − 1) − 4(x − 1)² + 7(x − 1)³,
s(x) =
Find f'(0) and f'(2).
if 0 ≤ x ≤ 1,
if 1 ≤ x ≤ 2.
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