Find the value of the first derivative of f(x) = -0.1x4 - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5 using central difference method with h = 0.25 NOTE: round-off your answers to 3 decimal places f(x – 2h) f(x – h) f(x) | f(x+ h) | f(x+2h) 2hf'(x) i f"(x) 2º f" (x) ht f4) (x) -1 1 1 -2 1 -1 2 -2 1 1 -4 6. -4 1 Table 5.1. Coefficients of Central Finite Difference Approximations of O(h²)
Find the value of the first derivative of f(x) = -0.1x4 - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5 using central difference method with h = 0.25 NOTE: round-off your answers to 3 decimal places f(x – 2h) f(x – h) f(x) | f(x+ h) | f(x+2h) 2hf'(x) i f"(x) 2º f" (x) ht f4) (x) -1 1 1 -2 1 -1 2 -2 1 1 -4 6. -4 1 Table 5.1. Coefficients of Central Finite Difference Approximations of O(h²)
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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Transcribed Image Text:Find the value of the first derivative of f(x) = -0.1x4 - 0.15x³ - 0.5x² - 0.25x + 1.2 at x = 0.5
using central difference method with h = 0.25
NOTE: round-off your answers to 3 decimal places
f(x – 2h)
f(x – h)
f(x) | f(x+ h) | f(x+2h)
2hf'(x)
i f"(x)
2º f" (x)
ht f4) (x)
-1
1
1
-2
1
-1
2
-2
1
1
-4
6.
-4
1
Table 5.1. Coefficients of Central Finite Difference
Approximations of O(h²)
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