(d^2)/(dx^2)((x^2-2x)/(x+1))

解

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

\frac{6}{( x + 1 ) ^{3}}

解答ステップ

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

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

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

\frac{d}{d x} (\frac{x ^{2} + 2 x - 2}{( x + 1 ) ^{2}}) = \frac{6}{( x + 1 ) ^{3}}

= \frac{6}{( x + 1 ) ^{3}}