# Transformation of a vector's components in a time-dependent transformation

I know how the contravariant and covariant components of a vector transform when the coordinate system is changed (⇒ the known relation between the old coordinate system and the new one, I multiply by partial derivatives properly)

Do the same transformation laws still holds when the relation between the two coordinate systems is time-dependent? Or in this case I should somehow involve partial-time-derivatives, too?