1- Consider the function f(x) = sin(x) + x²-3x on the interval [-2, 2] with h = 0.1. a. Use the forward, backward, and centered finite difference approximations for the first and second derivatives to graphically illustrate which approximation is most accurate. b. Use Richardson Extrapolatio in 3 levels D(3,3) and discuss the results compared to the section a.

1- Consider the function f(x) = sin(x) + x²-3x on the interval [-2, 2] with h = 0.1. a. Use the forward, backward, and centered finite difference approximations for the first and second derivatives to graphically illustrate which approximation is most accurate. b. Use Richardson Extrapolatio in 3 levels D(3,3) and discuss the results compared to the section a.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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