Find the derivative of the function.
f(s)=(s6 + 1)e-s6
If you mean
f(x) = (s^6 + 1) e^(-s^6)
then use the product rule
f = uv
f' = u'v + uv'
f' = (6s^5) e^(-s^6) + (s^6+1) (-6s^5) e^(-s^6)
= -6 s^11 e^(-s^6)
f(s)=(s6 + 1)e-s6
f(x) = (s^6 + 1) e^(-s^6)
then use the product rule
f = uv
f' = u'v + uv'
f' = (6s^5) e^(-s^6) + (s^6+1) (-6s^5) e^(-s^6)
= -6 s^11 e^(-s^6)