What is (d^2)/(dx^2)((x^3)/(x^2-1)) ?

The answer to (d^2)/(dx^2)((x^3)/(x^2-1)) is (2x(x^2+3))/((x^2-1)^3)

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(d^2)/(dx^2)((x^3)/(x^2-1))

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{3}}{x ^{2} - 1})

\frac{2 x ( x ^{2} + 3 )}{( x ^{2} - 1 ) ^{3}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (\frac{x ^{3}}{x ^{2} - 1})

\frac{d}{d x} (\frac{x ^{3}}{x ^{2} - 1}) = \frac{x ^{4} - 3 x ^{2}}{( x ^{2} - 1 ) ^{2}}

= \frac{d}{d x} (\frac{x ^{4} - 3 x ^{2}}{( x ^{2} - 1 ) ^{2}})

\frac{d}{d x} (\frac{x ^{4} - 3 x ^{2}}{( x ^{2} - 1 ) ^{2}}) = \frac{2 x ( x ^{2} + 3 )}{( x ^{2} - 1 ) ^{3}}

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

d er i v a t i v e 2 + \frac{3}{1 + ( x + 1 ) ^{2}}

\frac{\partial}{\partial x} (\frac{x}{a})

\int - \frac{25}{x ^{26}} d x

t^{2} \cdot y^{^{'}} + t \cdot y = 7

\int x^{3} cos (x^{4}) d x

What is (d^2)/(dx^2)((x^3)/(x^2-1)) ?
The answer to (d^2)/(dx^2)((x^3)/(x^2-1)) is (2x(x^2+3))/((x^2-1)^3)