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

The answer to (d^2)/(dx^2)(x/(x^2-6)) is -(2x(-x^2-18))/((x^2-6)^3)

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

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

- \frac{2 x ( - x ^{2} - 18 )}{( x ^{2} - 6 ) ^{3}}

Solution steps

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

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

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

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

= - \frac{2 x ( - x ^{2} - 18 )}{( x ^{2} - 6 ) ^{3}}

\frac{d y}{d x} + 3 y = e^{4 x}

n = 0 \sum \infty (\frac{n + 1}{n})^{n}

3 x^{^{''}} - 6 x^{^{'}} + 3 x = 0

x \to 0 + lim (\frac{5}{x} - \frac{5}{∣ x ∣})

y^{^{'}} = \frac{2 y ^{4} + x ^{4}}{x y ^{3}}

What is (d^2)/(dx^2)(x/(x^2-6)) ?
The answer to (d^2)/(dx^2)(x/(x^2-6)) is -(2x(-x^2-18))/((x^2-6)^3)