Answer Happy

Problem b and c please. It's numerical analysis.
Problem c I think mean to say use D(h) from problem b. Thank
you.
2. Differentiation: (a) What quantity does the difference method f(x − h) −2f(x) + f(x+h) approximate? Apply h² this method to f(x) = z²e² with h € 1, relative error for each h value. {¹, 100} at z = 0 and report the corresponding (b) Compute the order of the truncation error for f'(x) D(h): = −3f(x)+4ƒ(x+h) − f (x + 2h) 2h (c) Use Richardson extrapolation applied to D(h) (and D () from (c) to derive a better ap- proximation D(h) = f'(r). What is the order of this new expression?