% Ex. 14.19: Resposta à parábola:
clear all
clc
syms a b c s
H = (a*s^2+b*s+c)/(s^3+a*s^2+b*s+c);
fprintf('H = \n')
pretty(simplify(H))
H0 = subs(H,s,0)

dH = diff(H,s);
fprintf('dH/dt = \n')
pretty(simplify(dH))
dH0 = subs(dH,s,0)

d2H = diff(dH,s);
fprintf('d2H/dt2 = \n')
pretty(simplify(d2H))
d2H0 = subs(d2H,s,0)