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Beliebt Funktionen >

extreme f(x)=2x^3-12x^2+18x-5

Lösung

extrempunkte

f (x) = 2 x^{3} - 12 x^{2} + 18 x - 5

Lösung

Maximum (1, 3), Minimum (3, - 5)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 24 x + 18

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 1

in

2 x^{3} - 12 x^{2} + 18 x - 5 : 3

Maximum (1, 3)

Stecke

x = 3

in

2 x^{3} - 12 x^{2} + 18 x - 5 : - 5

Minimum (3, - 5)

Maximum (1, 3), Minimum (3, - 5)

Graph

Beliebte Beispiele

extreme x^2+4xy+y^2

e x t re m e x^{2} + 4 x y + y^{2}

extreme f(x,y)=x^3+x^2+y^2+y^3

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

e x t re m e x + 2

extreme f(x,y)=80x+80y-x^2-y^2

e x t re m e f (x, y) = 80 x + 80 y - x^{2} - y^{2}

extreme f(x)=x^2+(800)/x

e x t re m e f (x) = x^{2} + \frac{800}{x}