What is expand-d/(ds)((e^{-pis})/(s(s^2+1))) ?

The solution to expand-d/(ds)((e^{-pis})/(s(s^2+1))) is -d/(ds)((e^{-pis})/(s^3+s))

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expand-d/(ds)((e^{-pis})/(s(s^2+1)))

expand

- \frac{d}{d s} (\frac{e ^{- π s}}{s ( s ^{2} + 1 )})

- \frac{d}{d s} (\frac{e ^{- π s}}{s ^{3} + s})

Solution steps

- \frac{d}{d s} (\frac{e ^{- π s}}{s ( s ^{2} + 1 )})

Expand

s (s^{2} + 1) : s^{3} + s

= - \frac{d}{d s} (\frac{e ^{- π s}}{s ^{3} + s})

\frac{9 x ^{3} + 16 x ^{2} + 3 x - 10}{x ^{3} ( x + 5 )}

(x + 1 + 2) (x + 1 - 2) (x^{2} + 7)

(x + 2)^{2 (x - 1)}

\frac{3 s ^{2} + 2 s + 1}{( s ^{2} + 1 ) ( s ^{2} + 2 s + 2 )}

(b cos (z) - a sin (z) y) \cdot 2 r sin (z)

What is expand-d/(ds)((e^{-pis})/(s(s^2+1))) ?
The solution to expand-d/(ds)((e^{-pis})/(s(s^2+1))) is -d/(ds)((e^{-pis})/(s^3+s))