f(x) = 5x² + 3x³ 08 06 044 1. Using the laws of Calculus, provide the expression for f"(x)- which will be our basis for analytical (theoretical comparison) 2. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: a) 3-point Backward difference b) 3-point Forward Difference c) 3-point Central Difference d) 4-point Backward Difference 4-point Forward Difference e) f) 5-point Central Difference 3. Compute the relative error (%) for each method
f(x) = 5x² + 3x³ 08 06 044 1. Using the laws of Calculus, provide the expression for f"(x)- which will be our basis for analytical (theoretical comparison) 2. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using: a) 3-point Backward difference b) 3-point Forward Difference c) 3-point Central Difference d) 4-point Backward Difference 4-point Forward Difference e) f) 5-point Central Difference 3. Compute the relative error (%) for each method
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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