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Beliebt Funktionen >

extreme f(x)=14x^2-7x^4

Lösung

extrempunkte

f (x) = 14 x^{2} - 7 x^{4}

Lösung

Maximum (- 1, 7), Minimum (0, 0), Maximum (1, 7)

Schritte zur Lösung

f^{'} (x) = 28 x - 28 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 0,

Ansteigend

: 0 < x < 1,

Absteigend

: 1 < x < \infty

Stecke

x = - 1

in

14 x^{2} - 7 x^{4} : 7

Maximum (- 1, 7)

Stecke

x = 0

in

14 x^{2} - 7 x^{4} : 0

Minimum (0, 0)

Stecke

x = 1

in

14 x^{2} - 7 x^{4} : 7

Maximum (1, 7)

Maximum (- 1, 7), Minimum (0, 0), Maximum (1, 7)

Graph

Beliebte Beispiele

extreme f(x)=30x^4-13x^3-54x^2-1

e x t re m e f (x) = 30 x^{4} - 13 x^{3} - 54 x^{2} - 1

extreme f(x)=(e^{2x})/(x-3)

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

extreme f(x)=8-x,-1<= x<= 3

e x t re m e f (x) = 8 - x, - 1 \leq x \leq 3

extreme P(x,y)=x^2+5xy-4y^2

e x t re m e P (x, y) = x^{2} + 5 x y - 4 y^{2}

extreme f(x)=cos(3x),-1/6 pi<x< 1/2 pi

e x t re m e f (x) = cos (3 x), - \frac{1}{6} π < x < \frac{1}{2} π