function [fun,dfun,ifun,x0,m,C,Ax] = zacos
% Taylor series coefficient lists for several functions.
% Pm(x) = c(1) + c(2)x + c(2)x^2 + ... + c(m+1)x^m
% fun is the function, output.
% dfun is the derivative, output.
% ifun is the integral, output.
% x0 is the point of expansion, output.
% m is the degree of the polynomial, output.
% C is the coefficient list, output.
% Ax contains three asis vectors plotting, output.
x0 = 0;
m = 25;
a = -0.999999;
b = 0.999999;
ymin = 0;
ymax = pi;
ymin1 = -4;
ymax1 = 0;
ymin2 = -2;
ymax2 = 1;
Ax(1,:) = [a b ymin ymax];
Ax(2,:) = [a b ymin1 ymax1];
Ax(3,:) = [a b ymin2 ymax2];
fun = 'acos(x)';
dfun = '-sqrt(1 - x.^2).^(-1)';
ifun = '1-sqrt(1 - x.^2) + x.*acos(x)';
C = [-676039/104857600,
0,
-88179/12058624,
0,
-46189/5505024,
0,
-12155/1245184,
0,
-6435/557056,
0,
-143/10240,
0,
-231/13312,
0,
-63/2816,
0,
-35/1152,
0,
-5/112,
0,
-3/40,
0,
-1/6,
0,
-1,
pi/2];