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Beliebt Funktionen >

extreme f(x)=x^4-62x^2+120x+9

Lösung

extrempunkte

f (x) = x^{4} - 62 x^{2} + 120 x + 9

Lösung

Minimum (- 6, - 1647), Maximum (1, 68), Minimum (5, - 316)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 124 x + 120

Intervalle finden:

Absteigend

: - \infty < x < - 6,

Ansteigend

: - 6 < x < 1,

Absteigend

: 1 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = - 6

in

x^{4} - 62 x^{2} + 120 x + 9 : - 1647

Minimum (- 6, - 1647)

Stecke

x = 1

in

x^{4} - 62 x^{2} + 120 x + 9 : 68

Maximum (1, 68)

Stecke

x = 5

in

x^{4} - 62 x^{2} + 120 x + 9 : - 316

Minimum (5, - 316)

Minimum (- 6, - 1647), Maximum (1, 68), Minimum (5, - 316)

Graph

Beliebte Beispiele

extreme f(x)=9x^2-36x+27

e x t re m e f (x) = 9 x^{2} - 36 x + 27

extreme f(x,y)=-5y^2-6x^3+12x^2

e x t re m e f (x, y) = - 5 y^{2} - 6 x^{3} + 12 x^{2}

extreme f(x)=4x^2-16x+16

e x t re m e f (x) = 4 x^{2} - 16 x + 16

extreme f(x)= 4/(4-x)

e x t re m e f (x) = \frac{4}{4 - x}

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

e x t re m e f (x) = (x - 2)^{3} + 8