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Beliebt Funktionen >

inflection f(x)= 1/(1+x^2)

Lösung

wendepunkte

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

Lösung

(- \frac{1}{3}, \frac{3}{4}), (\frac{1}{3}, \frac{3}{4})

Schritte zur Lösung

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

Intervalle finden:

Konkav steigend

: - \infty < x < - \frac{1}{3},

Konkav fallend

: - \frac{1}{3} < x < \frac{1}{3},

Konkav steigend

: \frac{1}{3} < x < \infty

Stecke

x = - \frac{1}{3}

in

\frac{1}{1 + x ^{2}} : \frac{3}{4}

(- \frac{1}{3}, \frac{3}{4})

Stecke

x = \frac{1}{3}

in

\frac{1}{1 + x ^{2}} : \frac{3}{4}

(\frac{1}{3}, \frac{3}{4})

(- \frac{1}{3}, \frac{3}{4}), (\frac{1}{3}, \frac{3}{4})

Graph

Beliebte Beispiele

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