5. (A) Programing to obtain derivatives numerically.

5. (A) Programing to obtain derivatives numerically.

	x=[1.0 1.2 1.4 1.6 1.8 2.0 2.2]; y=[2.7182 3.3201 4.552 4.9530 6.0496 7.3891 9.0250];
	c=1;
	for i=1:6
	d1(c)=y(i+1)-y(i);
	c=c+1;
	end
	c=1;
	for i=1:5
	d2(c)=d1(i+1)-d1(i);
	c=c+1;
	end
	c=1;
	for i=1:4
	d3(c)=d2(i+1)-d2(i);
	c=c+1;
	end
	c=1;
	for i=1:3
	d4(c)=d3(i+1)-d3(i);
	c=c+1;
	end
	c=1;
	for i=1:2
	d5(c)=d4(i+1)-d4(i);
	c=c+1;
	end
	c=1;
	for i=1:1
	d6(c)=d5(i+1)-d5(i);
	c=c+1;
	end
	x0=1.2
	h=0.2;
	f1=((d1(2)-d2(2)/2+d3(2)/3-d4(2)/4+d5(2)/5)/h);
	printf('the first derivative of function at 1.2 is %f\n',f1)
	f2=(d2(2)-d3(2)+(11*d4(2))/12-(5*d5(2))/6)/h^2;
	printf('the second derivative of function at 1.2 is %f\n',f2)