Find the coordinates of the point at u=0.5 of a parametric cubic curve going through the points given below and having the given derivatives at the end points:
u=0, Point 1: [1 1 1]T, Derivative at Point 1: [1 3 0]T
u=1, Point 2: [2 4 1]T, Derivative at Point 2: [-0.5 2 0]T
Any help would be appreciated, Thank You.