2f(x)-5f(x+h)+4f(x+2h)-f(x+3h) h² is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. (a) The quantity G(x) = = (b) Derive a second order forward difference representation of df (x) dx

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.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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2f(x)-5f(x+h)+4f(x+2h)-f(x+3h)
h²
is a finite difference representa-
tion of what derivative? Forward, backward, central? With what order of accuracy?
Prove your answer.
(a) The quantity G(x) =
=
(b) Derive a second order forward difference representation of
df (x)
dx
Transcribed Image Text:2f(x)-5f(x+h)+4f(x+2h)-f(x+3h) h² is a finite difference representa- tion of what derivative? Forward, backward, central? With what order of accuracy? Prove your answer. (a) The quantity G(x) = = (b) Derive a second order forward difference representation of df (x) dx
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