The unilateral Laplace transform of f(t) is $${1 \over {{s^2} + s + 1}}.$$   Which one of the following is the unilateral Laplace transform of g(t) = t.f(t)?

A. $${{ - s} \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

B. $${{ - \left( {2s + 1} \right)} \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

C. $${s \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

D. $${{2s + 1} \over {{{\left( {{s^2} + s + 1} \right)}^2}}}$$

Answer: Option C