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r(t) = 3*t*i + 2*t^2*j − 3*t^4*k

Find the tangent vector r′(t0) at the point P(4,8,−16), given that the position vector of P is r(t0).

and

Find the vector equation of the tangent line to the trajectory through P.

Im unsure as to how to go about solving this. Ive looked for help in my textbook but it doesn't have any examples.

Is there a formula that I could use?? I think I have to differentiate r(t) then plug in the points but im unsure if this is right??