. A function f (t) and its first order derivative f (t) exist for t 2 0. Furthermore, the Laplace transform of f (t) also exists and F(s) = Iff (t)}. Calculate the Laplace transform of the first order derivative Iff (t)}. Show your solution process. 2 { f (t ) ; = F(s) = ]. f (t) exp(-st) dt 2 { f' ( t ) ) =