Find $r^{\text{'}}(t),r(t_0),$ and $r^{\text{'}}(t_0)$ for the given value of $t_0.$

$r(t)=(2t)i{t}^{3}j,t_0=1$

$r^{\text{'}}(t)=$

$r(t_0)=$

$r^{\text{'}}(t_0)=r(t_0)$ starts at $(x,y)=(0,0)$ and ends at $(x,y)=).$

$r^{\text{'}}(t_0)$ starts at the terminal point of $r(t_0)$ at $(x,y)=$