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Beliebt Funktionen >

extreme f(x)=x^3-8x^2-12x+5

Lösung

extrempunkte

f (x) = x^{3} - 8 x^{2} - 12 x + 5

Lösung

Maximum (- \frac{2}{3}, \frac{247}{27}), Minimum (6, - 139)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 16 x - 12

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{2}{3},

Absteigend

: - \frac{2}{3} < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = - \frac{2}{3}

in

x^{3} - 8 x^{2} - 12 x + 5 : \frac{247}{27}

Maximum (- \frac{2}{3}, \frac{247}{27})

Stecke

x = 6

in

x^{3} - 8 x^{2} - 12 x + 5 : - 139

Minimum (6, - 139)

Maximum (- \frac{2}{3}, \frac{247}{27}), Minimum (6, - 139)

Graph

Beliebte Beispiele

extreme f(x)=x^3-8x^2-12x+9

e x t re m e f (x) = x^{3} - 8 x^{2} - 12 x + 9

extreme f(x,y)=(2x-x^{(2)})(2y-y^{(2)})

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

extreme f(x)=8+(9+7x)^{2/7}

e x t re m e f (x) = 8 + (9 + 7 x)^{\frac{2}{7}}

extreme f(x)=6x+7y

e x t re m e f (x) = 6 x + 7 y

extreme f(x,y)=xy-3x^3y^2

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