To approximate f'(xo), suppose first that ro e (a, b), where fe C (a, b), and that x1 = xo + h for some h 0 that is sufficiently small to ensure that x1 e [a, b]. We construct the first Lagrange polynomial Pi(x) forf determined by xo and x1, with its error term: f(x) = Pi (x) + R1 (x). The expression of R1(x) is
To approximate f'(xo), suppose first that ro e (a, b), where fe C (a, b), and that x1 = xo + h for some h 0 that is sufficiently small to ensure that x1 e [a, b]. We construct the first Lagrange polynomial Pi(x) forf determined by xo and x1, with its error term: f(x) = Pi (x) + R1 (x). The expression of R1(x) is
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Calculus
Question no. 18 out of 20
Answer this question
To approximate f'(xo), suppose first that co e (a, b), where fe C2 [a, b], and
that r = x0 + h for some h + 0 that is sufficiently small to ensure that
a1 e [a, b]. We construct the first Lagrange polynomial P (x) for f determined
by xo and r1, with its error term: f(x) = Pi (x) + R1 (x). The expression of
R1 (x) is
%3!
Select the correct answer
A (x- ro)(x xo - h)f"(E(x))
B (7 - xo)(x - xo – h) f"({(x))
C (x - xo)(x - o - h)f'(E(x))
D (x - xo) (x + xo - h)f"(E(x))
E (x - xo) (x - xo + h)f"(E(x))
kreard er best
Fa
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Transcribed Image Text:Calculus
Question no. 18 out of 20
Answer this question
To approximate f'(xo), suppose first that co e (a, b), where fe C2 [a, b], and
that r = x0 + h for some h + 0 that is sufficiently small to ensure that
a1 e [a, b]. We construct the first Lagrange polynomial P (x) for f determined
by xo and r1, with its error term: f(x) = Pi (x) + R1 (x). The expression of
R1 (x) is
%3!
Select the correct answer
A (x- ro)(x xo - h)f"(E(x))
B (7 - xo)(x - xo – h) f"({(x))
C (x - xo)(x - o - h)f'(E(x))
D (x - xo) (x + xo - h)f"(E(x))
E (x - xo) (x - xo + h)f"(E(x))
kreard er best
Fa
S
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