Did you state the equation exactly as it was given? This written in an unusual way. Usually the nation for an equation like this is:

where t is the parameter. The parametric equations for the curve are:

So I take it that you are trying to find the equation of the tangent line corresponding to the parameters t=0, and then the tangent at correct?

The components of the derivative of a vector function are the derviatives of the components.

Now just plug in the given parameters.