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Beliebt Funktionen >

extreme f(x)=(x-1)(x^2-2x-2)

Lösung

extrempunkte

f (x) = (x - 1) (x^{2} - 2 x - 2)

Lösung

Maximum (0, 2), Minimum (2, - 2)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

(x - 1) (x^{2} - 2 x - 2) : 2

Maximum (0, 2)

Stecke

x = 2

in

(x - 1) (x^{2} - 2 x - 2) : - 2

Minimum (2, - 2)

Maximum (0, 2), Minimum (2, - 2)

Graph

Beliebte Beispiele

extreme y=-0.05x^2+50x-600

e x t re m e y = - 0.05 x^{2} + 50 x - 600

extreme f(x)=2x^2+3y^2-4x+12y

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

extreme f(x)=-2xy-8x^2-2y^2-86x+8y+9

e x t re m e f (x) = - 2 x y - 8 x^{2} - 2 y^{2} - 86 x + 8 y + 9

extreme y=2x+sin(4x),-pi/3 <= x<= pi/3

e x t re m e y = 2 x + sin (4 x), - \frac{π}{3} \leq x \leq \frac{π}{3}

extreme f(x)=x+4y

e x t re m e f (x) = x + 4 y