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

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

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

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

Find $f^{\text{'}}(3),$ where $f(t)=u(t)*v(t),u(3)=($:$1,2,-1$:$),u^{\text{'}}(3)=($:$7,1,9$:$),$ and $v(t)=($:$t,t^2,t^3$:$).$

$f^{\text{'}}(3)=$

Find $f^{\text{'}}(3),$ where $f(t)=u(t)*v(t),u(3)=($:$1,2,-1$:$),u^{\text{'}}(3)=($:$7,1,9$:$),$ and $v(t)=($:$t,t^2,t^3$:$).$

$f^{\text{'}}(3)=$