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Beliebt Funktionen >

extreme y=x^3-6x^2+9x-8

Lösung

extrempunkte

y = x^{3} - 6 x^{2} + 9 x - 8

Lösung

Maximum (1, - 4), Minimum (3, - 8)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 1

in

x^{3} - 6 x^{2} + 9 x - 8 : - 4

Maximum (1, - 4)

Stecke

x = 3

in

x^{3} - 6 x^{2} + 9 x - 8 : - 8

Minimum (3, - 8)

Maximum (1, - 4), Minimum (3, - 8)

Graph

Beliebte Beispiele

extreme f(x)=12+2x-x^2

e x t re m e f (x) = 12 + 2 x - x^{2}

extreme f(x)=(x^2-24)/(x-5)

e x t re m e f (x) = \frac{x ^{2} - 24}{x - 5}

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

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

extreme f(x)=(4x)/(x^2+25)

e x t re m e f (x) = \frac{4 x}{x ^{2} + 25}

extreme y=x^2-3x

e x t re m e y = x^{2} - 3 x