(a) f(xi), f(xi+1) and f(x+2) are three data points of f(x) and equally spaced at x with the step size of h. Find two different forward difference approximations of the first derivative of f(x) by using the first two data points, i.e. f(xi) and ƒ(xi+1), and all the three data points, respectively, and evaluate the order of their truncation errors through error analysis.

(a) f(xi), f(xi+1) and f(x+2) are three data points of f(x) and equally spaced at x with the step size of h. Find two different forward difference approximations of the first derivative of f(x) by using the first two data points, i.e. f(xi) and ƒ(xi+1), and all the three data points, respectively, and evaluate the order of their truncation errors through error analysis.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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