Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- oximation to the first derivative. In a similar fashion, derive the backwards fference approximation f(xo)-f(xo-h) 1 = f'(x) = ²h f"(E)

] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- oximation to the first derivative. In a similar fashion, derive the backwards fference approximation f(xo)-f(xo-h) 1 = f'(x) = ²h f"(E)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
See similar textbooks
icon
Related questions
Question

Taylor's theorem

[3] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- proximation to the first derivative. In a similar fashion, derive the backwards difference approximation f(xo) – f(xo - h) h assuming that f € C²([a, b]). = f'(xo) — 1/ h ƒ" (E)
Transcribed Image Text:[3] [Backwards difference approximation of first derivative] Using Taylor's theorem, in lecture we derived the forward difference ap- proximation to the first derivative. In a similar fashion, derive the backwards difference approximation f(xo) – f(xo - h) h assuming that f € C²([a, b]). = f'(xo) — 1/ h ƒ" (E)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer