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Beliebt Funktionen >

extreme f(x)=1.1x^4-5.1x^2+4.07

Lösung

extrempunkte

f (x) = 1.1 x^{4} - 5.1 x^{2} + 4.07

Lösung

Minimum (- 1.52255 \dots, - 1.84136 \dots), Maximum (0, 4.07), Minimum (1.52255 \dots, - 1.84136 \dots)

Schritte zur Lösung

f^{'} (x) = 4.4 x^{3} - 10.2 x

Intervalle finden:

Absteigend

: - \infty < x < - 1.52255 \dots,

Ansteigend

: - 1.52255 \dots < x < 0,

Absteigend

: 0 < x < 1.52255 \dots,

Ansteigend

: 1.52255 \dots < x < \infty

Stecke

x = - 1.52255 \dots

in

1.1 x^{4} - 5.1 x^{2} + 4.07 : - 1.84136 \dots

Minimum (- 1.52255 \dots, - 1.84136 \dots)

Stecke

x = 0

in

1.1 x^{4} - 5.1 x^{2} + 4.07 : 4.07

Maximum (0, 4.07)

Stecke

x = 1.52255 \dots

in

1.1 x^{4} - 5.1 x^{2} + 4.07 : - 1.84136 \dots

Minimum (1.52255 \dots, - 1.84136 \dots)

Minimum (- 1.52255 \dots, - 1.84136 \dots), Maximum (0, 4.07), Minimum (1.52255 \dots, - 1.84136 \dots)

Graph

Beliebte Beispiele

extreme (e^x)/(5+e^x)

e x t re m e \frac{e ^{x}}{5 + e ^{x}}

extreme f(x)=e^{7x}+e^{-x}

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

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

e x t re m e f (x) = 8 x^{3} - x^{4} = x^{3} (8 - x)

extreme f(x,y)=2xy-x^3-y^2

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

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

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