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?

 

[Muphrid]

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

 

[praharmitra]

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

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