Find the derivatives F'(t) and F''(t) for each of the following complex-valued functions of the real variable t.

(a)\(\displaystyle{F}{\left({t}\right)}={e}^{{{\left({1}−{i}\right)}{t}}}\)

(b)\(\displaystyle{F}{\left({t}\right)}={e}^{{{3}{i}{t}}}\)

(c) \(\displaystyle{F}{\left({t}\right)}={e}^{{{\left({2}+{3}{i}\right)}{t}}}\)