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

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

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

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

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

Solution steps

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

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

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

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

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

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

n = 1 \sum \infty \frac{n ^{5}}{5 ^{n}}

\int_{x^{2}}^{4 - x^{2}} y d y

\int \frac{1}{( x ^{2} + 4 ) ^{\frac{5}{2}}} d x

y = 2 x e^{- 3 x} + 3 e^{x^{2}}

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