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Beliebt Funktionen >

extreme f(x)=3x^3-3x^2-3x+2

Lösung

extrempunkte

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

Lösung

Maximum (- \frac{1}{3}, \frac{23}{9}), Minimum (1, - 1)

Schritte zur Lösung

f^{'} (x) = 9 x^{2} - 6 x - 3

Intervalle finden:

Ansteigend

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

Absteigend

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

Ansteigend

: 1 < x < \infty

Stecke

x = - \frac{1}{3}

in

3 x^{3} - 3 x^{2} - 3 x + 2 : \frac{23}{9}

Maximum (- \frac{1}{3}, \frac{23}{9})

Stecke

x = 1

in

3 x^{3} - 3 x^{2} - 3 x + 2 : - 1

Minimum (1, - 1)

Maximum (- \frac{1}{3}, \frac{23}{9}), Minimum (1, - 1)

Graph

Beliebte Beispiele

extreme f(x,y)=x^2+(y-1)^2

e x t re m e f (x, y) = x^{2} + (y - 1)^{2}

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e x t re m e f (x) = \frac{( x ^{2} - 7 )}{x - 4}

extreme (x^2+1)/(x^2-1)

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