Compute derivatives of F(t) = cosh t i + sinh (2t) j + e^-3tk

by RoRi

May 31, 2016

Compute the derivatives $F'(t)$ and $F''(t)$ of the vector valued function

$F(t) = \cosh t \mathbf{i} + \sinh (2t) \mathbf{j} + e^{-3t} \mathbf{k}.$

We compute

$\begin{align*} F'(t) &= \sinh t \mathbf{i} + 2 \cosh (2t) \mathbf{j} - 3e^{-3t} \mathbf{k} \\ F''(t) &= \cosh t \mathbf{i} + 4 \sinh (2t) \mathbf{j} + 9e^{-3t} \mathbf{k}. \end{align*}$

Stumbling Robot

Compute derivatives of F(t) = cosh t i + sinh (2t) j + e^-3tk

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