 Matriks Jacobian function J=Jacobs (func,x,delta)
N=length(x); for i=1:N
xjalan1=x;
xjalan1(i)=x(i)+delta;
xjalan2=x;
xjalan2(i)=x(i)-delta;
J(:,i)=(feval(func,xjalan1)-feval(func,xjalan2))/(2*delta); end end
Penyelesaian:
>> F= @(x)[x(1)^2+x(2)^2+x(3)-14;x(1)^2+2*x(2)^2-9;x(1)-
3*x(2)^2+x(3)]
F =
@(x)[x(1)^2+x(2)^2+x(3)-14;x(1)^2+2*x(2)^2-9;x(1)-
3*x(2)^2+x(3)]
NewtRaphApproxBaru(F,[1;1;1],1e-5,10000) ans =
1.5616
1.8113
8.2808
>> feval(F,ans) ans =
0
0
0

 Invers Matriks Jacobian dengan Gauss-Jordan function p=invJacobs(A)
[a b]=size(A); c=[A eye(a,b)]; if a~=b
Error( 'matriks A bukan matriks persegi' )
pause else for ii=2:a
d=c(ii:a,ii-1)/c(ii-1,ii-1);
c(ii:a,:)=c(ii:a,:)-d*c(ii-1,:); end for jj=a-1:-1:1
u=c(jj:-1:1,jj+1)/c(jj+1,jj+1);
c(jj:-1:1,:)=c(jj:-1:1,:)-u*c(jj+1,:); end for k=1:a
c(k,:)=c(k,:)/c(k,k); end
p=c(:,a+1:2*a); end end
 Aproksimasi Newton-Raphson function m=Newton_Raphson (x,niter)
%call fungsi.m
%call Central.m
%m=zeros(niter,1) m(1)=x; for ii=1:niter-1
m(ii+1)=m(ii)-(fungsi(m(ii))/Central(m(ii),1e-6));
fprintf( 'Iterasion=%iSolusi=%.4f\n' ,ii,m(ii+1)); if abs(m(ii+1)-m(ii))<1e-6;
disp( 'Solusi Konvergence' ) break end if fungsi(m(ii+1))==0
disp ( 'Solusi Eksak telah ditemukan' ) break end end

2. Menghitung ketinggian maksimum, waktu tempuh mencapai tanah, dan jarak maksimum mencapai tanah
 Fungsi Vy(t) function Vy=Vy (V0,theta,g,t)
Vy=V0*sind(theta)-g*t; end
 Fungsi y(t) function y=y2(V0,y0,theta,g,t) y=y0+(V0*sind(theta)*t)-(0.5*g*(t^2)); end
 Fungsi y(x) function y=y1(V0,y0,theta,g,x) y=y0+(x*tand(theta))-((g*x^2)/2*cosd((theta)^2*V0^2)); end
 Fungsi tymax, tmax, dan xmax function GerakParabol(V0,y0),theta,g,delta,Niter) t(1)=0; for i=1:Niter-1
turunan=(Vy(V0,theta,g,(t(i)+delta))-Vy(V0,theta,g,(t(i)delta)))/(2*delta); end thmax=t(akhir) t1(1)=100 for i=1:Niter-1
turunan=(y2(V0,y0,theta,g,(t1(i)+delta))y2(V0,y0,theta,g,(t1(i)-delta)))/(2*delta);
t1(i+1)=t1(i)-(y2(V0,y0,theta,g,t1(i))/turunan); end tmax=t1(akhir) x(1)=100; for i=1:Niter-1
turunan=(y1(V0,y0,theta,g,(x(i)+delta))y1(V0,y0,theta,g,(x(i)-delta)))/(2*delta);
x(i+1)=x(i)-(y1(V0,y0,theta,g,x(i))/turunan); end xmax=x(akhir) end

3. Finite Difference
 Fungsi awal function F=fungsi(x)
F=exp(-3*x)+4*x^2+4; end
 Forward: function Forward(x,deltax) %nama fungsi
%call fungsiUWU.m
Forward =(fungsi(x+deltax)-fungsi(x))/deltax %definisi fungsi end
 Backward: function Backward(x,deltax) %nama fungsi
%call fungsiUWU.m
Backward =(fungsi(x)-fungsi(x-deltax))/deltax %definisi fungsi end
 Central: function Central(x,deltax) %nama fungsi
%call fungsiUWU.m
Central =(fungsi(x+deltax)-fungsi(x-deltax))/(2*deltax)
%definisi fungsi end