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Beliebt Funktionen >

extreme y=x^3-3x^2+1

Lösung

extrempunkte

y = x^{3} - 3 x^{2} + 1

Lösung

Maximum (0, 1), Minimum (2, - 3)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

x^{3} - 3 x^{2} + 1 : 1

Maximum (0, 1)

Stecke

x = 2

in

x^{3} - 3 x^{2} + 1 : - 3

Minimum (2, - 3)

Maximum (0, 1), Minimum (2, - 3)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+y^3-33xy

e x t re m e f (x, y) = x^{3} + y^{3} - 33 x y

extreme f(x)=-2x^2-16x-39

e x t re m e f (x) = - 2 x^{2} - 16 x - 39

extreme f(x)=((ln(x))^2)/x

e x t re m e f (x) = \frac{( ln ( x ) ) ^{2}}{x}

extreme f(x)=(x^4)/4-x^3

e x t re m e f (x) = \frac{x ^{4}}{4} - x^{3}

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

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