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Beliebt Funktionen >

extreme f(x)=-x^3+12x-23

Lösung

extrempunkte

f (x) = - x^{3} + 12 x - 23

Lösung

Minimum (- 2, - 39), Maximum (2, - 7)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 12

Intervalle finden:

Absteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = - 2

in

- x^{3} + 12 x - 23 : - 39

Minimum (- 2, - 39)

Stecke

x = 2

in

- x^{3} + 12 x - 23 : - 7

Maximum (2, - 7)

Minimum (- 2, - 39), Maximum (2, - 7)

Graph

Beliebte Beispiele

extreme f(x)= 1/3 x^3+3x^2+5x-11/3

e x t re m e f (x) = \frac{1}{3} x^{3} + 3 x^{2} + 5 x - \frac{11}{3}

extreme f(x)=|x|+x^2-5x+6

e x t re m e f (x) = ∣ x ∣ + x^{2} - 5 x + 6

extreme f(x,y)=60x^{1/3}y^{2/3}

e x t re m e f (x, y) = 60 x^{\frac{1}{3}} y^{\frac{2}{3}}

extreme x^2(x^2-2)

e x t re m e x^{2} (x^{2} - 2)

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

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