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Beliebt Funktionen >

inflection f(x)=(x^2)/(2x^2+3)

Lösung

wendepunkte

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

Lösung

(- \frac{1}{2}, \frac{1}{8}), (\frac{1}{2}, \frac{1}{8})

Schritte zur Lösung

f^{''} (x) = \frac{18 ( - 2 x ^{2} + 1 )}{( 2 x ^{2} + 3 ) ^{3}}

Intervalle finden:

Konkav fallend

: - \infty < x < - \frac{1}{2},

Konkav steigend

: - \frac{1}{2} < x < \frac{1}{2},

Konkav fallend

: \frac{1}{2} < x < \infty

Stecke

x = - \frac{1}{2}

in

\frac{x ^{2}}{2 x ^{2} + 3} : \frac{1}{8}

(- \frac{1}{2}, \frac{1}{8})

Stecke

x = \frac{1}{2}

in

\frac{x ^{2}}{2 x ^{2} + 3} : \frac{1}{8}

(\frac{1}{2}, \frac{1}{8})

(- \frac{1}{2}, \frac{1}{8}), (\frac{1}{2}, \frac{1}{8})

Graph

Beliebte Beispiele

asymptoten f(x)=(-4x+20)/(x^2-9x+20)

a sy m pt o t es f (x) = \frac{- 4 x + 20}{x ^{2} - 9 x + 20}

entfernung (5,-2),(2,-5)

d i s t an ce (5, - 2), (2, - 5)

invers f(x)=9-6x^3

in v erse f (x) = 9 - 6 x^{3}

extreme f(x)=6x^3-5x+12

e x t re m e f (x) = 6 x^{3} - 5 x + 12

interzeption 4x^2+8x-3

in t erce pt s 4 x^{2} + 8 x - 3