Derivative and unit tangent vector
Given the vector function [math]\text{\vec r(t) = \langle2\cos(t / 4) + \cos(t), 2\sin(t) - 1, t^3-3t\rangle}[/math] the derivative vector is shown in blue, and the unit tangent vector is shown in red. Try setting [math]\text{t \approx1.5}[/math]
Information: Derivative and unit tangent vector