Compute the centered finite-difference approximation to the first derivative at x = 5. Use finite-difference approximation that is second order. 1 2 3 4 5 6 7 8 9 10 1.4 2.1 3.3 4.8 6.8 6.6 8.6 7.5 8.9 10.9 10 Determine h. h = Determine: x = f(x) = f(x:) = Xi-1 = f(x-1) =

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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Compute the centered finite-difference approximation to the first derivative at x = 5. Use finite-difference approximation that is second order.
2 3 4 5 6 7 8
9 10
1.4 2.1 3.3 4.8 6.8 6.6 8.6 7.5 8.9 10.9 10
Determine h.
h =
Determine:
X =
f(x) =
%3!
X; =
f(x) =
Xi-1 =
f(x-1) =
Xi+2 =
f(x;-2) =
Xi-1 =
f(x;- 1) =
X-2 =
f(x-2) =
Calculate f'(x).
f'(x) =
Transcribed Image Text:Compute the centered finite-difference approximation to the first derivative at x = 5. Use finite-difference approximation that is second order. 2 3 4 5 6 7 8 9 10 1.4 2.1 3.3 4.8 6.8 6.6 8.6 7.5 8.9 10.9 10 Determine h. h = Determine: X = f(x) = %3! X; = f(x) = Xi-1 = f(x-1) = Xi+2 = f(x;-2) = Xi-1 = f(x;- 1) = X-2 = f(x-2) = Calculate f'(x). f'(x) =
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