Answer
$\textbf{r}'(t) = \langle f'(t), g'(t), h'(t)\rangle$
Work Step by Step
The derivative of $\textbf{r}$ is found by taking the derivative of every component of $\textbf{r}$, assuming all the components are differentiated functions.
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 11 - Vectors and Vector-Valued Functions - 11.6 Calculus of Vector-Valued Functions - 11.6 Exercises - Page 814: 1
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