For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 An approximation of f'(0) is: f[xo] = -1 f[x₂] = 2 f[x₂] = 0 f[x0, x₁] = 3 f[x₁, x₂] = -2 f[x0, x1, x₂] = 512
For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 An approximation of f'(0) is: f[xo] = -1 f[x₂] = 2 f[x₂] = 0 f[x0, x₁] = 3 f[x₁, x₂] = -2 f[x0, x1, x₂] = 512
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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Q3
![For a given function f(x), the divided-differences table is given by:
Xo = 0
x₁ = 1
x₂ = 2
An approximation of f'(0) is:
O 1/2
O 7/2
O 11/2
O 21/2
f[xo] = -1
f[x₂] = 2
f[x₂] = 0
f[x0, x₁] = 3
f[x₁, x₂] = -2
f[x0, x1, x₂]
512](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70e15475-bfd0-44c7-90b8-6640c70ea026%2Ff56acada-6e81-4f74-b9c6-0ac5a817c0c7%2Fol2m1we_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For a given function f(x), the divided-differences table is given by:
Xo = 0
x₁ = 1
x₂ = 2
An approximation of f'(0) is:
O 1/2
O 7/2
O 11/2
O 21/2
f[xo] = -1
f[x₂] = 2
f[x₂] = 0
f[x0, x₁] = 3
f[x₁, x₂] = -2
f[x0, x1, x₂]
512
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