2.3x 1. Approximate the first derivative of f(x) = 5e².³x at x = 1.25 using a step size of Ax = the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method First Derivative ValueError(%) FDD BDD CDD 2. Use the same conditions in #1 to find f"(1.25). Approximation Method Second Derivative Value Error(%) FDD = 0.2 using BDD
2.3x 1. Approximate the first derivative of f(x) = 5e².³x at x = 1.25 using a step size of Ax = the following methods: a. Forward Divided Difference (FDD) b. Backward Divided Difference (BDD) c. Central Divided Difference (CDD) d. Use analytic method to find f'(1.25) and compare the errors. Which method had the best approximation? Approximation Method First Derivative ValueError(%) FDD BDD CDD 2. Use the same conditions in #1 to find f"(1.25). Approximation Method Second Derivative Value Error(%) FDD = 0.2 using BDD
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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