#### Answer

$\textbf{r}'(t) = \langle e^t, -2e^{-t}, -8e^{2t}\rangle$

#### Work Step by Step

$\textbf{r}(t) = \langle f(t), g(t), h(t)\rangle$
$\textbf{r}'(t) = \langle f'(t), g'(t), h'(t)\rangle$
$\textbf{r}(t) = \langle e^t, 2e^{-t}, -4e^{2t}\rangle$
$\textbf{r}'(t) = \langle e^t, -2e^{-t}, -8e^{2t}\rangle$