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

Lösung

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

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

Schritte zur Lösung

\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}}

d er i v a t i v e f (x) = 9 - ∣ x - 4 ∣ at x

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

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

s im pl i f y (e^{- x} - e^{2}) (e^{x} + e^{- 5})

s l o p e (2, 0), (32, - 5)