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

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

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

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

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

Solution steps

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

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

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

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

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

(x + 3) (- 2 n (6 n - 1) (- 2 x)^{n - 1})

\frac{s ^{2}}{s ^{2} + 6 s + 34}

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

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

\int sin^{2} (10 x) d x

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