The discussion revolves around deriving a formula using Taylor series and establishing error terms associated with it. The specific formula in question is related to numerical methods for approximating derivatives.
The discussion is ongoing, with participants seeking clarification and guidance on how to approach the problem. There is an acknowledgment of confusion regarding the formula's structure and the application of Taylor series, indicating a need for further exploration of these concepts.
Participants note that the professor did not provide a textbook or examples, which contributes to their uncertainty. There is also a reference to the course being focused on Numerical Methods, suggesting specific constraints in the context of the problem.
trouty323 said:Homework Statement
Derive the following formula using Taylor series and then establish the error terms for each.
Homework Equations
f ' (x) ≈ (1/2*h) [4*f(x + h) - 3*f(x) - f(x+2h)]
The Attempt at a Solution
I honestly have no idea how to go about deriving this. The professor did not require a book for this class, and he never did an example. Any help would be greatly appreciated.
Ray Vickson said:Do you know what a Taylor series is? If so, apply it to f(x+h) and f(x+2h), keeping just a few terms in each expansion.
RGV