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
icon
Related questions
Question
i need the answer quickly
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning