What is expand-d/(ds)(1/(s(s^2+1))) ?

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

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expand-d/(ds)(1/(s(s^2+1)))

expand

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

- \frac{d}{d s} (\frac{1}{s ^{3} + s})

Solution steps

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

Expand

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

= - \frac{d}{d s} (\frac{1}{s ^{3} + s})

(- 1 + 2 i)^{8}

- \frac{1}{3} (12 - 6 + 15 x)

7 (x + 9 - (ln ∣ x + 9 ∣))

10 (26 - 3)

2 \cdot (s + \frac{1}{10}) (3 s + 1)

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