Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) with h = 0.25. Use backward, forward, and central difference approximation methods for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all first derivative finite difference approximations along with the theoretical and do the same for the second derivative as well.

Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) with h = 0.25. Use backward, forward, and central difference approximation methods for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all first derivative finite difference approximations along with the theoretical and do the same for the second derivative as well.

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

Section4.2: Derivatives Of Products And Quotients

Problem 35E

See similar textbooks