: Here is an interesting result about differentiating a Dot-product of two vector valued functions: Let v(t) = < v,(t), v2(t), v3 (t) > and w(t) = < w,(t), w2(t), w3 (t) > be two vector valued functions. Define the function f(t) = v(t) · w(t) (dot product) Find f'(t), and then say something about why this is “interesting".

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