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Beliebt Funktionen >

extreme f(x)=2x^3-9x^2+12x+6

Lösung

extrempunkte

f (x) = 2 x^{3} - 9 x^{2} + 12 x + 6

Lösung

Maximum (1, 11), Minimum (2, 10)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 18 x + 12

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 1

in

2 x^{3} - 9 x^{2} + 12 x + 6 : 11

Maximum (1, 11)

Stecke

x = 2

in

2 x^{3} - 9 x^{2} + 12 x + 6 : 10

Minimum (2, 10)

Maximum (1, 11), Minimum (2, 10)

Graph

Beliebte Beispiele

extreme f(x)=x+ln(1-x)

e x t re m e f (x) = x + ln (1 - x)

extreme f(x)=x^2+xy+y^2-16y+85

e x t re m e f (x) = x^{2} + x y + y^{2} - 16 y + 85

e x t re m e x + 1

extreme f(x,y)=x^2+y^2-8y+16

e x t re m e f (x, y) = x^{2} + y^{2} - 8 y + 16

extreme (3x-6)/(x+2)

e x t re m e \frac{3 x - 6}{x + 2}