Let f(x) = Using the centered 3-point formula for 1st derivatives: %3D (x-2): f'(0) & 0.251255 using h = 0.1 f'(0) × 0.250313 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which is:
Let f(x) = Using the centered 3-point formula for 1st derivatives: %3D (x-2): f'(0) & 0.251255 using h = 0.1 f'(0) × 0.250313 using h = 0.05 Applying Richardson's extrapolation on the above values, we get a better approximation of f'(0) which 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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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
Transcribed Image Text:Let f(x) =
Using the centered 3-point formula for 1st derivatives:
%3D
(a-2)2
f'(0) x 0.251255 using h = 0.1
f'(0) x 0.250313 using h = 0.05
Applying Richardson's extrapolation on the above values, we get a better approximation of
f'(0) which is:
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