What is secondderivative of f(x)=arctan(x) ?

The answer to secondderivative of f(x)=arctan(x) is -(2x)/((x^2+1)^2)

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Find the Second Derivative f(x)=arctan(x)

second derivative

f (x) = arctan (x)

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

Solution steps

\frac{d ^{2}}{d x ^{2}} (arctan (x))

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

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

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

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

- \frac{d}{d x} (e^{- 2 x})

- \frac{d}{d x} (x y)

x, y = 0, x = 2, y = x

csc (x) cot (x)

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

What is secondderivative of f(x)=arctan(x) ?
The answer to secondderivative of f(x)=arctan(x) is -(2x)/((x^2+1)^2)