If u and v are differentiable vector functions, c is a scalar, and f is a real-valued function, write the rules for differentiating the following vector functions.

(a) u(t) + v(t)

(b) cu(t)

(c)f (t) u (t)

(d) u(t) . v(t)

(e) u(t) x v(t)

(f ) u (f (t))

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