What is (d^2)/(dx^2)(x/(x^2-3)) ?

The answer to (d^2)/(dx^2)(x/(x^2-3)) is -(2x(-x^2-9))/((x^2-3)^3)

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

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

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

Solution steps

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

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

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

\frac{d}{d x} (\frac{- x ^{2} - 3}{( x ^{2} - 3 ) ^{2}}) = - \frac{2 x ( - x ^{2} - 9 )}{( x ^{2} - 3 ) ^{3}}

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

x \to - 3 - lim (x^{3} + 27)

\int (a + \frac{b}{x - a})^{2} d x

f (x) = (\frac{x + 1}{x - 1})^{2}

f (x) = \frac{1}{3 x ^{2}}

\int 7 sin^{2} (x) cos^{2} (x) d x

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