Answer
$$ r'(t)=\langle 1,2t,3t^2 \rangle .$$
Work Step by Step
Since $ r(t)=\langle t,t^2,t^3 \rangle $, then the derivative $ r'(t)$ is given by
$$ r'(t)=\langle 1,2t,3t^2 \rangle .$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.