1.Previous
3.Next

properties.

Calculus

Let be a parametric smooth curve. The tangent vector is given by provided it exists and provided , where we have used a prime instead of the usual dot to indicate differentiation with respect to parameter . The unit tangent vector is given by

Example

Given the curve

in , the unit tangent vector at is given by

Where the components of the tangent vector are found by taking the derivative of each corresponding component of the curve

1.Previous
3.Next