(d^2)/(dx^2)((x^2+4)/(x^2-4))

解

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} + 4}{x ^{2} - 4})

- \frac{16 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} + 4}{x ^{2} - 4})

\frac{d}{d x} (\frac{x ^{2} + 4}{x ^{2} - 4}) = - \frac{16 x}{( x ^{2} - 4 ) ^{2}}

= \frac{d}{d x} (- \frac{16 x}{( x ^{2} - 4 ) ^{2}})

\frac{d}{d x} (- \frac{16 x}{( x ^{2} - 4 ) ^{2}}) = - \frac{16 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

= - \frac{16 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}