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Beliebt Funktionen >

extreme y=-x^3+6x^2

Lösung

extrempunkte

y = - x^{3} + 6 x^{2}

Lösung

Minimum (0, 0), Maximum (4, 32)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 0

in

- x^{3} + 6 x^{2} : 0

Minimum (0, 0)

Stecke

x = 4

in

- x^{3} + 6 x^{2} : 32

Maximum (4, 32)

Minimum (0, 0), Maximum (4, 32)

Graph

Beliebte Beispiele

extreme f(x,y)=-3x^2+2xy-y^2+14x+2y+10

e x t re m e f (x, y) = - 3 x^{2} + 2 x y - y^{2} + 14 x + 2 y + 10

extreme f(x)=x^2log_{6}(x)

e x t re m e f (x) = x^{2} lo g_{6} (x)

extreme 250+8x^3+x^4

e x t re m e 250 + 8 x^{3} + x^{4}

extreme f(x)=e^{3x^2+8y^2+13}

e x t re m e f (x) = e^{3 x^{2} + 8 y^{2} + 13}

extreme f(x)=-34x^2+550x

e x t re m e f (x) = - 34 x^{2} + 550 x