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Beliebt Funktionen >

extreme f(x)=x^3-6x^2+10

Lösung

extrempunkte

f (x) = x^{3} - 6 x^{2} + 10

Lösung

Maximum (0, 10), Minimum (4, - 22)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 0

in

x^{3} - 6 x^{2} + 10 : 10

Maximum (0, 10)

Stecke

x = 4

in

x^{3} - 6 x^{2} + 10 : - 22

Minimum (4, - 22)

Maximum (0, 10), Minimum (4, - 22)

Graph

Beliebte Beispiele

extreme f(x,y)=3+sqrt(1-((x-2)^2)/4-((y-3)^2)/9)

e x t re m e f (x, y) = 3 + 1 - \frac{( x - 2 ) ^{2}}{4} - \frac{( y - 3 ) ^{2}}{9}

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

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

extreme y=x^4-4x^3

e x t re m e y = x^{4} - 4 x^{3}

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

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

extreme x^3-3x^2

e x t re m e x^{3} - 3 x^{2}