(d^2)/(dx^2)((y)(-5x^9+5))

解答

\frac{d ^{2}}{d x ^{2}} ((y) (- 5 x^{9} + 5))

- 5 x^{9} \frac{d ^{2} y}{d x ^{2}} - 90 x^{8} \frac{d y}{d x} - 360 x^{7} y + 5 \frac{d ^{2} y}{d x ^{2}}

求解步骤

\frac{d ^{2}}{d x ^{2}} ((y) (- 5 x^{9} + 5))

\frac{d}{d x} (y (- 5 x^{9} + 5)) = \frac{d y}{d x} (- 5 x^{9} + 5) - 45 x^{8} y

= \frac{d}{d x} (\frac{d y}{d x} (- 5 x^{9} + 5) - 45 x^{8} y)

\frac{d}{d x} (\frac{d y}{d x} (- 5 x^{9} + 5) - 45 x^{8} y) = - 5 x^{9} \frac{d ^{2} y}{d x ^{2}} - 90 x^{8} \frac{d y}{d x} - 360 x^{7} y + 5 \frac{d ^{2} y}{d x ^{2}}

= - 5 x^{9} \frac{d ^{2} y}{d x ^{2}} - 90 x^{8} \frac{d y}{d x} - 360 x^{7} y + 5 \frac{d ^{2} y}{d x ^{2}}

e x p an d \frac{( y + 3 ) ( y ^{3} + y + 1 )}{( 2 y ^{2} - 2 ) ( 5 y + 4 )}

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

e x p an d - 8 (- 2 - - 8)

e x p an d y (- \frac{1}{ln ( 2 ) 2 ^{y}} = - \frac{1}{ln ( 2 ) 2 ^{x}})

e x p an d \frac{20 ( s + 1 )}{s ( s + 5 ) ( s ^{2} + 2 s + 10 )}