$($b$)$ If the $((t)|)=\frac{2(s+1)}{s^2+2s+5},$ then find out the value of $f(0^{+})$and $f().$

$($c$)$ Find out the time domain signal corresponding to $e^{-2s}\frac{d}{ds}[\frac{1}{(s+1{)}^2}].$