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Beliebt Funktionen >

extreme f(x)=2x^4+8x^2-8x^3-1

Lösung

extrempunkte

f (x) = 2 x^{4} + 8 x^{2} - 8 x^{3} - 1

Lösung

Minimum (0, - 1), Maximum (1, 1), Minimum (2, - 1)

Schritte zur Lösung

f^{'} (x) = 8 x^{3} - 24 x^{2} + 16 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

2 x^{4} + 8 x^{2} - 8 x^{3} - 1 : - 1

Minimum (0, - 1)

Stecke

x = 1

in

2 x^{4} + 8 x^{2} - 8 x^{3} - 1 : 1

Maximum (1, 1)

Stecke

x = 2

in

2 x^{4} + 8 x^{2} - 8 x^{3} - 1 : - 1

Minimum (2, - 1)

Minimum (0, - 1), Maximum (1, 1), Minimum (2, - 1)

Graph

Beliebte Beispiele

extreme f(x)=9x^3-54x^2+81x+13,(-6,2)

e x t re m e f (x) = 9 x^{3} - 54 x^{2} + 81 x + 13, (- 6, 2)

extreme f(x)=x^3-12x^2+45x+7

e x t re m e f (x) = x^{3} - 12 x^{2} + 45 x + 7

extreme f(x)=x^7(x+4)^4,-10<= x<= 13

e x t re m e f (x) = x^{7} (x + 4)^{4}, - 10 \leq x \leq 13

extreme f(x)=(x-7)e^x

e x t re m e f (x) = (x - 7) e^{x}

extreme y(x,t)=3x+2at(3.4)

e x t re m e y (x, t) = 3 x + 2 a t (3.4)