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

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

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

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

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

Solution steps

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

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

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

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

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

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

\frac{\partial}{\partial y} (x^{2} + x y + y^{2} + y)

f (x) = (3 x^{3} + 1)^{2}

f (x) = sin (x)

x \to - 8 - lim (x^{2} + \frac{2}{x + 8})

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