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Beliebt Funktionen >

extreme f(x)=5x^6-6x^5+1

Lösung

extrempunkte

f (x) = 5 x^{6} - 6 x^{5} + 1

Lösung

Sattel (0, 1), Minimum (1, 0)

Schritte zur Lösung

f^{'} (x) = 30 x^{5} - 30 x^{4}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

5 x^{6} - 6 x^{5} + 1 : 1

Sattel (0, 1)

Stecke

x = 1

in

5 x^{6} - 6 x^{5} + 1 : 0

Minimum (1, 0)

Sattel (0, 1), Minimum (1, 0)

Graph

Beliebte Beispiele

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

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

extreme f(x)=4x^4-2(4)^2x^3

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

extreme f(x,y)=sqrt(400-49x^2-36y^2)

e x t re m e f (x, y) = 400 - 49 x^{2} - 36 y^{2}

extreme f(x)=(3(x-4)^2)/(x+1)

e x t re m e f (x) = \frac{3 ( x - 4 ) ^{2}}{x + 1}

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

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