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Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)- 30f(x) + 16f(x - h) - f(x − 2h)) 12h² What is the Big-Oh error term?

Q2. Derive the following formula for approximating the derivative f": ƒ"(x) ≈ : (-f(x+2h) +16f(r+h)- 30f(x) + 16f(x - h) - f(x − 2h)) 12h² What is the Big-Oh error term?

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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Q2. Derive the following formula for approximating the derivative f": f" (x) ×- ;(-f(x+2h) + 16f (x + h) – 30f(x) + 16f(x – h) – f(x – 2h)) 12h? What is the Big-Oh error term?
Transcribed Image Text:Q2. Derive the following formula for approximating the derivative f": f" (x) ×- ;(-f(x+2h) + 16f (x + h) – 30f(x) + 16f(x – h) – f(x – 2h)) 12h? What is the Big-Oh error term?
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