secondderivative f(x)=arctan(x)

Lösung

zweite ableitung

f (x) = arctan (x)

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

Schritte zur Lösung

\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}}

d er i v a t i v e \frac{d}{d x} (e^{- 2 x})

d er i v a t i v e \frac{d}{d x} (x y)

v o l u m e ab o u t x, y = 0, x = 2, y = x

in t e g r a l csc (x) cot (x)

d er i v a t i v e \frac{d}{d x} (\frac{x}{( x + 1 )})