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Beliebt Funktionen >

extreme f(x)=x^4-8x^3+9

Lösung

extrempunkte

f (x) = x^{4} - 8 x^{3} + 9

Lösung

Sattel (0, 9), Minimum (6, - 423)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 24 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

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

Sattel (0, 9)

Stecke

x = 6

in

x^{4} - 8 x^{3} + 9 : - 423

Minimum (6, - 423)

Sattel (0, 9), Minimum (6, - 423)

Graph

Beliebte Beispiele

extreme f(x)=sqrt(x^2+25)

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

extreme y=x^x,x>0

e x t re m e y = x^{x}, x > 0

extreme f(x)=x^2+y^2-2y-9

e x t re m e f (x) = x^{2} + y^{2} - 2 y - 9

extreme f(x)=-0.4x^2+90x-2000

e x t re m e f (x) = - 0.4 x^{2} + 90 x - 2000

extreme f(x)=x^3+3x^2+4,-3<= x<= 2

e x t re m e f (x) = x^{3} + 3 x^{2} + 4, - 3 \leq x \leq 2