(d^2)/(dx^2)((x^2)/(5+4x))

解

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{5 + 4 x})

\frac{50}{( 5 + 4 x ) ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2}}{5 + 4 x})

\frac{d}{d x} (\frac{x ^{2}}{5 + 4 x}) = \frac{10 x + 4 x ^{2}}{( 5 + 4 x ) ^{2}}

= \frac{d}{d x} (\frac{10 x + 4 x ^{2}}{( 5 + 4 x ) ^{2}})

\frac{d}{d x} (\frac{10 x + 4 x ^{2}}{( 5 + 4 x ) ^{2}}) = \frac{50}{( 5 + 4 x ) ^{3}}

= \frac{50}{( 5 + 4 x ) ^{3}}