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Beliebt Funktionen >

extreme x^3-2x^2-2

Lösung

extrempunkte

x^{3} - 2 x^{2} - 2

Lösung

Maximum (0, - 2), Minimum (\frac{4}{3}, - \frac{86}{27})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

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

Ansteigend

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

Stecke

x = 0

in

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

Maximum (0, - 2)

Stecke

x = \frac{4}{3}

in

x^{3} - 2 x^{2} - 2 : - \frac{86}{27}

Minimum (\frac{4}{3}, - \frac{86}{27})

Maximum (0, - 2), Minimum (\frac{4}{3}, - \frac{86}{27})

Graph

Beliebte Beispiele

e x t re m e 2 x y

extreme f(x)=4x^3-4x^2-4x+5

e x t re m e f (x) = 4 x^{3} - 4 x^{2} - 4 x + 5

extreme y= x/(x^2+4),(-3,1)

e x t re m e y = \frac{x}{x ^{2} + 4}, (- 3, 1)

extreme f(x,y)=12x^2+48xy+8y^3-3y^4

e x t re m e f (x, y) = 12 x^{2} + 48 x y + 8 y^{3} - 3 y^{4}

extreme log_{10}(x^2-1)

e x t re m e lo g_{10} (x^{2} - 1)