If

Y(s)=(1/16s^2)-(1/5s)

Find Y'(s).

Y(s)=(1/16s^2)-(1/5s)

I suspect you mean
y = 1/(16 s^2) - 1/(5s)

y' = -32 s/(16^2 s^4) + 5/(25s^2)

= -1/(8s^3) +1/(5s^2)