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Solved: Derivatives of vector-valued functions
Chapter 11, Problem 7E(choose chapter or problem)
QUESTION:
7-12. Derivatives of vector-valued functions Differentiate the following functions.
\(\mathbf{r}(t)=\left\langle 2 t^{3}, 6 \sqrt{t}, 3 / t\right\rangle\)
Questions & Answers
QUESTION:
7-12. Derivatives of vector-valued functions Differentiate the following functions.
\(\mathbf{r}(t)=\left\langle 2 t^{3}, 6 \sqrt{t}, 3 / t\right\rangle\)
ANSWER:Solution 7EStep 1:In this problem we need to differentiate the following functions, Let , where f, g, and h are differentiable functions on . Then r has a derivative (or is differentiable) on and .