We now demonstrate taking the derivative of a vector-valued function. Example \ (\PageIndex {1}\): Finding the Derivative of a Vector-Valued Function Use the definition to

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Consider first the following vector-valued function of a real variable: s [t_] := {Sin [t], Cos [t]} Then this works as expected: s' [t] (* {Cos [t], -Sin [t]} *) Why does the following use

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There is a nice formula that we should derive before moving onto vector functions of two variables. Example 7 Determine the vector equation for the line segment starting at the point P = (x1,y1,z1) P = ( x 1, y 1, z 1) and

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