# Tangent vector to a parametric curve

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?

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