展开-d/(ds)((6(s+3))/(s^2+6s+18))

解答

展开

- \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})

求解步骤

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

乘开

6 (s + 3) : 6 s + 18

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

e x p an d \frac{1}{s ^{2} ( s ^{2} + k ^{2} )}

e x p an d \frac{1}{3 8 - x}

s im pl i f y \frac{2.25}{( 11 s + 1 ) ( 7 s + 1 ) ( 13 s + 1 ) ( 17 s + 1 )}

e x p an d (2 e^{x} - \frac{1}{8} e^{- x})^{2}

e x p an d \frac{x ^{2} - 3 x + 16}{( x - 5 ) ( x ^{2} + 1 )}