Evaluate $\frac{\,d}{\,dt}{\bf r}(g(t))$ using the Chain Rule:

${\bf r}(t)=\left<e^t,e^{3 t},1\right>, \ \ g(t)=3 t+5$

$\frac{\,d}{\,dt}{\bf r}(g(t))=\langle$, ,$\rangle$