Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) withh = 0.25. Use backward, forward, and central difference approximation methods for the first and second derivatives so as to...

Extracted text: Consider the function f(x) = x³ – 2x + 4 on the interval (-2, 2) withh = 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.