(d^2)/(dx^2)((e^x)/(8x+1))

解

\frac{d ^{2}}{d x ^{2}} (\frac{e ^{x}}{8 x + 1})

\frac{e ^{x} ( 64 x ^{2} - 112 x + 113 )}{( 8 x + 1 ) ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{e ^{x}}{8 x + 1})

\frac{d}{d x} (\frac{e ^{x}}{8 x + 1}) = \frac{8 e ^{x} x - 7 e ^{x}}{( 8 x + 1 ) ^{2}}

= \frac{d}{d x} (\frac{8 e ^{x} x - 7 e ^{x}}{( 8 x + 1 ) ^{2}})

\frac{d}{d x} (\frac{8 e ^{x} x - 7 e ^{x}}{( 8 x + 1 ) ^{2}}) = \frac{e ^{x} ( 64 x ^{2} - 112 x + 113 )}{( 8 x + 1 ) ^{3}}

= \frac{e ^{x} ( 64 x ^{2} - 112 x + 113 )}{( 8 x + 1 ) ^{3}}