function newton;
% newtons's method
%p=pi
p=0.28
% n is the number if iterations
n=7;
for i=1:1:n
f(p)
der_f(p)
p=p-f(p)/der_f(p)    
end


function y=f(x);
% use example 2.2#7 solve as root finding problem by Newton's method
%y=pi+0.5*sin(x/2)-x;
y=10*x^3-8.3*x^2+2.295*x-0.21141;

function y=der_f(x);
% use example 2.2#7 solve as root finding problem by Newton's method
%y=cos(x/2)/4-1;
y=30*x^2-16.6*x+2.295;