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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Help me please
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c08c952-d9e7-4f31-a911-5a4a32c888a9%2Fab6a728d-4000-4cf5-b5c7-69a55e97ac0b%2Fzl8v1p_processed.png&w=3840&q=75)
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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