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

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

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

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

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

Solution steps

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

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

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

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

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

2 x, \frac{x}{2}

\int \frac{x ^{2}}{( 1 - x ^{3} ) ^{7}} d x

x \to 0 lim (x^{5} cos (\frac{1}{x}))

cos^{2} (6 t)

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

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