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Beliebt Funktionen >

inflection f(x)=2x^4-2x^3+3

Lösung

wendepunkte

f (x) = 2 x^{4} - 2 x^{3} + 3

Lösung

(0, 3), (\frac{1}{2}, \frac{23}{8})

Schritte zur Lösung

f^{''} (x) = 24 x^{2} - 12 x

Intervalle finden:

Konkav steigend

: - \infty < x < 0,

Konkav fallend

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

Konkav steigend

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

Stecke

x = 0

in

2 x^{4} - 2 x^{3} + 3 : 3

(0, 3)

Stecke

x = \frac{1}{2}

in

2 x^{4} - 2 x^{3} + 3 : \frac{23}{8}

(\frac{1}{2}, \frac{23}{8})

(0, 3), (\frac{1}{2}, \frac{23}{8})

Graph

Beliebte Beispiele

asymptoten f(x)=(x+8)/(x^2-16)

a sy m pt o t es f (x) = \frac{x + 8}{x ^{2} - 16}

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

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

interzeption y=7x+14

in t erce pt s y = 7 x + 14

asymptoten f(x)=(4x^2)/(x^2-4)

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

interzeption f(x)=x^4-x^2

in t erce pt s f (x) = x^{4} - x^{2}