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Question # 1: A function is given by f(x) = 6e-3. Now Answer the following: 1. Calculate f'(x) at x = 0.5 with h = 0.32 using the central difference formula.

Question # 1: A function is given by f(x) = 6e-3. Now Answer the following: 1. Calculate f'(x) at x = 0.5 with h = 0.32 using the central difference formula.

Advanced Engineering Mathematics
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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Question #1: A function is given by f(x) = 6e-3. Now Answer the following: 1. 2. 3. 4. Calculate f' (x) at x = 0.5 with h = difference formula. method. difference formula. Calculate f'(x) at x = 0.5 with h = 0.16 using the central Now compute D 0.32 using the central 0.32 at x = 0.5 using Richardson extrapolation If the exact value of the derivative, f' (0.5) is 1.3388, find the percentage error with extrapolated value found in the previous part.
Transcribed Image Text:Question #1: A function is given by f(x) = 6e-3. Now Answer the following: 1. 2. 3. 4. Calculate f' (x) at x = 0.5 with h = difference formula. method. difference formula. Calculate f'(x) at x = 0.5 with h = 0.16 using the central Now compute D 0.32 using the central 0.32 at x = 0.5 using Richardson extrapolation If the exact value of the derivative, f' (0.5) is 1.3388, find the percentage error with extrapolated value found in the previous part.
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