$$ r'(t)=\langle 1,2t,3t^2 \rangle .$$
Work Step by Step
Since $ r(t)=\langle t,t^2,t^3 \rangle $, then the derivative $ r'(t)$ is given by $$ r'(t)=\langle 1,2t,3t^2 \rangle .$$
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