For a given function f(x), the divided differences table is given by: xo = 0 f[xo] = 2 X1 = 1 f[x1] = 4 f[xo, x1] = 2 X2 =2 f[x2] = 3 f[x1,x2] = -1 f[xo, X1, x2] = -1.5 The approximation of f'(0.5) is:
For a given function f(x), the divided differences table is given by: xo = 0 f[xo] = 2 X1 = 1 f[x1] = 4 f[xo, x1] = 2 X2 =2 f[x2] = 3 f[x1,x2] = -1 f[xo, X1, x2] = -1.5 The approximation of f'(0.5) is:
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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numerical methods for scientists and engineers
![Question *
For a given function f(x), the divided differences table is given by:
Xo = 0
f[xo] = 2
X1 = 1
f[x1] = 4
f[xo, x1] =
X2 =2
f[x2] = 3
f[x1,x2] = -1
f[xo, X1, x2] = -1.5
The approximation of f'(0.5) is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F531b2905-4a8d-4f01-821a-aa1a24d7fd3e%2F67fc6be9-ceaa-4034-b95a-c4c9c168180b%2F42m0ubk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question *
For a given function f(x), the divided differences table is given by:
Xo = 0
f[xo] = 2
X1 = 1
f[x1] = 4
f[xo, x1] =
X2 =2
f[x2] = 3
f[x1,x2] = -1
f[xo, X1, x2] = -1.5
The approximation of f'(0.5) is:
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