Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈ f (x − 2h) — 4f (x − h) + 3f (x) 2h Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly
Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈ f (x − 2h) — 4f (x − h) + 3f (x) 2h Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 20E
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![Suppose that the first derivative of f(x) = x² In x is approximated by the following formula
f'(x) =
f(x-2h) - 4f(x - h) + 3f(x)
2h
Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly
0.21475
O None of the choices
0.00346
O 0.01458](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4488bcc3-cba0-42bc-ac73-8dea91d518a4%2F7cddbaed-0d99-4098-b3af-c28e7e0e382b%2Ffzjo91_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the first derivative of f(x) = x² In x is approximated by the following formula
f'(x) =
f(x-2h) - 4f(x - h) + 3f(x)
2h
Then, the actual error for the approximation of f'(2) with h = 0.1 is most nearly
0.21475
O None of the choices
0.00346
O 0.01458
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