What is (d^3)/(dx^3)(arctan(x)) ?

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

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(d^3)/(dx^3)(arctan(x))

\frac{d ^{3}}{d x ^{3}} (arctan (x))

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

Solution steps

\frac{d ^{3}}{d x ^{3}} (arctan (x))

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

= \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}}

- 0.1 x^{2} - x + 40

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

n = 1 \sum \infty \frac{n !}{10 8 ^{n}}

y + x y^{^{'}} = a (1 + x y)

\frac{d}{d x} ((2 x + 5)^{7})

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