What is expand-d/(ds)((6(s-3))/(s^2-6s+18)) ?

The solution to expand-d/(ds)((6(s-3))/(s^2-6s+18)) is -d/(ds)((6s-18)/(s^2-6s+18))

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expand-d/(ds)((6(s-3))/(s^2-6s+18))

expand

- \frac{d}{d s} (\frac{6 ( s - 3 )}{s ^{2} - 6 s + 18})

- \frac{d}{d s} (\frac{6 s - 18}{s ^{2} - 6 s + 18})

Solution steps

- \frac{d}{d s} (\frac{6 ( s - 3 )}{s ^{2} - 6 s + 18})

Expand

6 (s - 3) : 6 s - 18

= - \frac{d}{d s} (\frac{6 s - 18}{s ^{2} - 6 s + 18})

\frac{( 2 - y ) ^{3}}{3}

\frac{7 s - 1}{( s + 1 ) ( s + 2 ) ( s - 3 )}

\frac{10}{( x + 5 ) ( x + 7 )}

ln (\frac{7 x}{x - 7})

sin (2 (t - 2 π))

What is expand-d/(ds)((6(s-3))/(s^2-6s+18)) ?
The solution to expand-d/(ds)((6(s-3))/(s^2-6s+18)) is -d/(ds)((6s-18)/(s^2-6s+18))