Chapter 11 - Vectors and Vector-Valued Functions - 11.6 Calculus of Vector-Valued Functions - 11.6 Exercises - Page 814: 11

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

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