>> A(x_n, y_n, z_n)= sqrt((x_n - x_0)^2 + (y_n - y_0)^2 + (z_n - z_0)^2) - sqrt((x_n - x_1)^2 + (y_n - y_1)^2 + (z_n - z_1)^2) - (t_0 - t_1)*c_0


A(x_n, y_n, z_n) =

((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2) - c_0*(t_0 - t_1) - ((x_1 - x_n)^2 + (y_1 - y_n)^2 + (z_1 - z_n)^2)^(1/2)

>> Ableit_A_x = diff(A,x_n)

Ableit_A_x(x_n, y_n, z_n) =

(2*x_1 - 2*x_n)/(2*((x_1 - x_n)^2 + (y_1 - y_n)^2 + (z_1 - z_n)^2)^(1/2)) - (2*x_0 - 2*x_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_B_x = diff(B,x_n)

Ableit_B_x(x_n, y_n, z_n) =

(2*x_2 - 2*x_n)/(2*((x_2 - x_n)^2 + (y_2 - y_n)^2 + (z_2 - z_n)^2)^(1/2)) - (2*x_0 - 2*x_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_C_x = diff(C,x_n)

Ableit_C_x(x_n, y_n, z_n) =

(2*x_3 - 2*x_n)/(2*((x_3 - x_n)^2 + (y_3 - y_n)^2 + (z_3 - z_n)^2)^(1/2)) - (2*x_0 - 2*x_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_A_y= diff(A,y_n)

Ableit_A_y(x_n, y_n, z_n) =

(2*y_1 - 2*y_n)/(2*((x_1 - x_n)^2 + (y_1 - y_n)^2 + (z_1 - z_n)^2)^(1/2)) - (2*y_0 - 2*y_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_B_y = diff(B,y_n)

Ableit_B_y(x_n, y_n, z_n) =

(2*y_2 - 2*y_n)/(2*((x_2 - x_n)^2 + (y_2 - y_n)^2 + (z_2 - z_n)^2)^(1/2)) - (2*y_0 - 2*y_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_C_y = diff(C,y_n)

Ableit_C_y(x_n, y_n, z_n) =

(2*y_3 - 2*y_n)/(2*((x_3 - x_n)^2 + (y_3 - y_n)^2 + (z_3 - z_n)^2)^(1/2)) - (2*y_0 - 2*y_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_A_z=diff(A,z_n)

Ableit_A_z(x_n, y_n, z_n) =

(2*z_1 - 2*z_n)/(2*((x_1 - x_n)^2 + (y_1 - y_n)^2 + (z_1 - z_n)^2)^(1/2)) - (2*z_0 - 2*z_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_B_z = diff(B,z_n)

Ableit_B_z(x_n, y_n, z_n) =

(2*z_2 - 2*z_n)/(2*((x_2 - x_n)^2 + (y_2 - y_n)^2 + (z_2 - z_n)^2)^(1/2)) - (2*z_0 - 2*z_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))

>> Ableit_C_z = diff(C,z_n)

Ableit_C_z(x_n, y_n, z_n) =

(2*z_3 - 2*z_n)/(2*((x_3 - x_n)^2 + (y_3 - y_n)^2 + (z_3 - z_n)^2)^(1/2)) - (2*z_0 - 2*z_n)/(2*((x_0 - x_n)^2 + (y_0 - y_n)^2 + (z_0 - z_n)^2)^(1/2))