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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (0, - 6), Maximum (2, - 2)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Minimum (0, - 6)

Stecke

x = 2

in

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

Maximum (2, - 2)

Minimum (0, - 6), Maximum (2, - 2)

Graph

Beliebte Beispiele

domäne f(x)= 1/(x-4)+1/(6-x)

d o main f (x) = \frac{1}{x - 4} + \frac{1}{6 - x}

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

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

domäne f(x)=((x+1))/(x^2-9)

d o main f (x) = \frac{( x + 1 )}{x ^{2} - 9}

invers f(x)=4+sqrt(4+x)

in v erse f (x) = 4 + 4 + x

interzeption f(x)=-(4x+10y)=-9

in t erce pt s f (x) = - (4 x + 10 y) = - 9