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

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

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

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

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

Solution steps

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

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

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

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

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

f (x) = 9 - ∣ x - 4 ∣ at x

x \to 5 - lim (\frac{2}{x ^{2} - 25})

\int_{- 2}^{1} (12 x^{5} - 36) d x

x^{2} y^{^{''}} + x y^{^{'}} - y = 0, y (1) = 1, y^{^{'}} (1) = 4

\int \frac{10}{( x + 1 ) ( x ^{2} + 9 )} d x

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