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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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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.
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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