What is (d^2)/(dx^2)((x^2+1)/(x^2-4)) ?

The answer to (d^2)/(dx^2)((x^2+1)/(x^2-4)) is -(10(-3x^2-4))/((x^2-4)^3)

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(d^2)/(dx^2)((x^2+1)/(x^2-4))

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

- \frac{10 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

Solution steps

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

\frac{d}{d x} (\frac{x ^{2} + 1}{x ^{2} - 4}) = - \frac{10 x}{( x ^{2} - 4 ) ^{2}}

= \frac{d}{d x} (- \frac{10 x}{( x ^{2} - 4 ) ^{2}})

\frac{d}{d x} (- \frac{10 x}{( x ^{2} - 4 ) ^{2}}) = - \frac{10 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

= - \frac{10 ( - 3 x ^{2} - 4 )}{( x ^{2} - 4 ) ^{3}}

\int \frac{7}{x - 2} d x

e^{x^{3}}

\frac{\partial}{\partial x} (e^{x y z^{3}})

\int t ln (t + 5) d t

\int \frac{x}{1 + 2 x ^{2}} d x

What is (d^2)/(dx^2)((x^2+1)/(x^2-4)) ?
The answer to (d^2)/(dx^2)((x^2+1)/(x^2-4)) is -(10(-3x^2-4))/((x^2-4)^3)