Hi,
I am constructing two segments of cubic hermite functions. How can find the maximun and mininmum slopes of the curve and plot them graphically in the order of magnitude?
% first segment
%Inputs:
%first point (0,0); second point(5,150); thid points(10,0)
%derivatives: g0=g1=g2=0
x0=0; x1=5; g0=0; g1=0;y0= 0; y1= 150;A1 = [x0^3,x0^2,x0,1; 3*x0^2,2*x0,1,0; x1^3,x1^2,x1,1; 3*x1^2,2*x1,1,0]; C1 = A1\[y0,g0,y1,g1]'; % Solve for the four cubic Hermite coefficients
n = 1000;X1 = linspace(x0,x1,n);Y1 = C1'*[X1.^3;X1.^2;X1;ones(1,n)];% second segment
x2=10; y2= 0; g1= 0; g2=0;A2 = [x1^3,x1^2,x1,1; 3*x1^2,2*x1,1,0; x2^3,x2^2,x2,1; 3*x2^2,2*x2,1,0]; C2 = A2\[y1,g1,y2,g2]';X2 = linspace(x1,x2,n);Y2 = C2'*[X2.^3;X2.^2;X2;ones(1,n)];plot(X1,Y1);hold on; plot(X2,Y2);title('cubic hermite'); xlabel('x'); ylabel('y');
Best Answer