Section 13.2
In this worksheet we just give one example of the tangent vectors moving along a curve.
Example: Consider the curve ${\bf r}(t) = \langle t, \cos (t) \rangle$. The first animation gives the vectors ${\bf r}(t)$ as $t$ moves as red arrows. The tangent vectors are given by the green arrows.
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It may also be easier to see the tangent vectors ${\bf r'}(t)$ without the vectors ${\bf r}(t)$ as well. That is given in the following animation.
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