# Tangent vector to a parametric curve

1. Sep 9, 2012

### praharmitra

This is confusing me more than it should.

A curve in space is given by $x^i(t)$ and is parameterized by $t$.

What is the tangent vector along the curve at a point $t= t_0$ on the curve?

2. Sep 9, 2012

### Muphrid

$$\left. \frac{dx^i}{dt} \right|_{t=t_0}$$

3. Sep 9, 2012

### praharmitra

OK. So I was thinking right! Thanks a lot :)