What is (d^2)/(dx^2)((x^2+6x)/(x^2-9)) ?

The answer to (d^2)/(dx^2)((x^2+6x)/(x^2-9)) is -(6(-2x^3-9x^2-54x-27))/((x^2-9)^3)

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(d^2)/(dx^2)((x^2+6x)/(x^2-9))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} + 6 x}{x ^{2} - 9})

- \frac{6 ( - 2 x ^{3} - 9 x ^{2} - 54 x - 27 )}{( x ^{2} - 9 ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{2} + 6 x}{x ^{2} - 9})

\frac{d}{d x} (\frac{x ^{2} + 6 x}{x ^{2} - 9}) = \frac{- 6 x ^{2} - 18 x - 54}{( x ^{2} - 9 ) ^{2}}

= \frac{d}{d x} (\frac{- 6 x ^{2} - 18 x - 54}{( x ^{2} - 9 ) ^{2}})

\frac{d}{d x} (\frac{- 6 x ^{2} - 18 x - 54}{( x ^{2} - 9 ) ^{2}}) = - \frac{6 ( - 2 x ^{3} - 9 x ^{2} - 54 x - 27 )}{( x ^{2} - 9 ) ^{3}}

= - \frac{6 ( - 2 x ^{3} - 9 x ^{2} - 54 x - 27 )}{( x ^{2} - 9 ) ^{3}}

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What is (d^2)/(dx^2)((x^2+6x)/(x^2-9)) ?
The answer to (d^2)/(dx^2)((x^2+6x)/(x^2-9)) is -(6(-2x^3-9x^2-54x-27))/((x^2-9)^3)