If $r(t)=($:$4t,6t^2,2t^3$:$),$ find $r^{\text{'}}(t),T(1),r^{\text{'}\text{'}}(t),$ and $r^{\text{'}}(t)r^{\text{'}\text{'}}(t).$

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

$T(1)=$

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

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