(d^2)/(dx^2)((3x+5)/(x^2-x))

解答

\frac{d ^{2}}{d x ^{2}} (\frac{3 x + 5}{x ^{2} - x})

- \frac{2 ( - 3 x ^{3} - 15 x ^{2} + 15 x - 5 )}{( x ^{2} - x ) ^{3}}

求解步骤

\frac{d ^{2}}{d x ^{2}} (\frac{3 x + 5}{x ^{2} - x})

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

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

\frac{d}{d x} (\frac{- 3 x ^{2} - 10 x + 5}{( x ^{2} - x ) ^{2}}) = - \frac{2 ( - 3 x ^{3} - 15 x ^{2} + 15 x - 5 )}{( x ^{2} - x ) ^{3}}

= - \frac{2 ( - 3 x ^{3} - 15 x ^{2} + 15 x - 5 )}{( x ^{2} - x ) ^{3}}

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