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

Lösung

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

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

Schritte zur Lösung

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

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

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

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

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

ma c l a u r in (x + 3) (- 2 n (6 n - 1) (- 2 x)^{n - 1})

in v erse l a pl a ce \frac{s ^{2}}{s ^{2} + 6 s + 34}

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

t an g e n t f (x) = \frac{1}{x ^{3}}, (1, 1)

\int sin^{2} (10 x) d x