Letr = (e141-11, e9-9¹, (t + 1)−6). Compute the derivative. (Use symbolic notation and fractions where needed. Give your answer in the form (x(t), y(t), z(t)).) dr dt ||

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Let \( \mathbf{r} = \left\langle e^{14t-11}, e^{9-9t}, (t+1)^{-6} \right\rangle \).

Compute the derivative.

(Use symbolic notation and fractions where needed. Give your answer in the form \(\langle x(t), y(t), z(t) \rangle\).)

\[
\frac{d\mathbf{r}}{dt} = \boxed{\phantom{\frac{}{}}}
\]
Transcribed Image Text:Let \( \mathbf{r} = \left\langle e^{14t-11}, e^{9-9t}, (t+1)^{-6} \right\rangle \). Compute the derivative. (Use symbolic notation and fractions where needed. Give your answer in the form \(\langle x(t), y(t), z(t) \rangle\).) \[ \frac{d\mathbf{r}}{dt} = \boxed{\phantom{\frac{}{}}} \]
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