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Beliebt Funktionen >

extreme f(x)=3x^4-4x^3+6

Lösung

extrempunkte

f (x) = 3 x^{4} - 4 x^{3} + 6

Lösung

Sattel (0, 6), Minimum (1, 5)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

3 x^{4} - 4 x^{3} + 6 : 6

Sattel (0, 6)

Stecke

x = 1

in

3 x^{4} - 4 x^{3} + 6 : 5

Minimum (1, 5)

Sattel (0, 6), Minimum (1, 5)

Graph

Beliebte Beispiele

extreme f(x)=x^2-4x-4

e x t re m e f (x) = x^{2} - 4 x - 4

extreme f(x,y)=10-(x^2)/2-(y^2)/2

e x t re m e f (x, y) = 10 - \frac{x ^{2}}{2} - \frac{y ^{2}}{2}

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

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

extreme f(x,y)=6y^3-5x^3y+3x^2

e x t re m e f (x, y) = 6 y^{3} - 5 x^{3} y + 3 x^{2}

extreme f(x)=(x-1)^2*(x-3)+2

e x t re m e f (x) = (x - 1)^{2} \cdot (x - 3) + 2