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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, 6), Minimum (1, 5)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

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

Maximum (0, 6)

Stecke

x = 1

in

2 x^{3} - 3 x^{2} + 6 : 5

Minimum (1, 5)

Maximum (0, 6), Minimum (1, 5)

Graph

Beliebte Beispiele

extreme f(x)=(x-8)e^x

e x t re m e f (x) = (x - 8) e^{x}

extreme f(x,y)=-x^4+8x^2-y^2-1

e x t re m e f (x, y) = - x^{4} + 8 x^{2} - y^{2} - 1

extreme f(x)=(-2)/(x^2-9)

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

extreme f(x,y)=ln(y+x)

e x t re m e f (x, y) = ln (y + x)

extreme f(x,y)=xe^y+y+1

e x t re m e f (x, y) = x e^{y} + y + 1