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Beliebt Funktionen >

inflection f(x)=x^4-32x^2+9

Lösung

wendepunkte

f (x) = x^{4} - 32 x^{2} + 9

Lösung

(- \frac{4}{3}, - \frac{1199}{9}), (\frac{4}{3}, - \frac{1199}{9})

Schritte zur Lösung

f^{''} (x) = 12 x^{2} - 64

Intervalle finden:

Konkav steigend

: - \infty < x < - \frac{4}{3},

Konkav fallend

: - \frac{4}{3} < x < \frac{4}{3},

Konkav steigend

: \frac{4}{3} < x < \infty

Stecke

x = - \frac{4}{3}

in

x^{4} - 32 x^{2} + 9 : - \frac{1199}{9}

(- \frac{4}{3}, - \frac{1199}{9})

Stecke

x = \frac{4}{3}

in

x^{4} - 32 x^{2} + 9 : - \frac{1199}{9}

(\frac{4}{3}, - \frac{1199}{9})

(- \frac{4}{3}, - \frac{1199}{9}), (\frac{4}{3}, - \frac{1199}{9})

Graph

Beliebte Beispiele

slopeintercept 3x-2y=-6

s l o p e in t erce pt 3 x - 2 y = - 6

domäne f(x)= y/(y-6)+(15)/(y+6)

d o main f (x) = \frac{y}{y - 6} + \frac{15}{y + 6}

extreme f(x)=(-15)/(x^2+5)

e x t re m e f (x) = \frac{- 15}{x ^{2} + 5}

parallel y=x+4,(-1,2)

p a r a ll e l y = x + 4, (- 1, 2)

domäne f(x)=(sqrt(x+5))/(x-3)

d o main f (x) = \frac{x + 5}{x - 3}