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Beliebt Funktionen >

extreme f(x)=2x^2-6x^4

Lösung

extrempunkte

f (x) = 2 x^{2} - 6 x^{4}

Lösung

Maximum (- \frac{1}{6}, \frac{1}{6}), Minimum (0, 0), Maximum (\frac{1}{6}, \frac{1}{6})

Schritte zur Lösung

f^{'} (x) = 4 x - 24 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{1}{6},

Absteigend

: - \frac{1}{6} < x < 0,

Ansteigend

: 0 < x < \frac{1}{6},

Absteigend

: \frac{1}{6} < x < \infty

Stecke

x = - \frac{1}{6}

in

2 x^{2} - 6 x^{4} : \frac{1}{6}

Maximum (- \frac{1}{6}, \frac{1}{6})

Stecke

x = 0

in

2 x^{2} - 6 x^{4} : 0

Minimum (0, 0)

Stecke

x = \frac{1}{6}

in

2 x^{2} - 6 x^{4} : \frac{1}{6}

Maximum (\frac{1}{6}, \frac{1}{6})

Maximum (- \frac{1}{6}, \frac{1}{6}), Minimum (0, 0), Maximum (\frac{1}{6}, \frac{1}{6})

Graph

Beliebte Beispiele

extreme f(x)=-x^2+10,-3<= x<= 4

e x t re m e f (x) = - x^{2} + 10, - 3 \leq x \leq 4

extreme 2/(x+5)

e x t re m e \frac{2}{x + 5}

extreme f(x)=-3x^3-63/2 x^2-90x+1

e x t re m e f (x) = - 3 x^{3} - \frac{63}{2} x^{2} - 90 x + 1

extreme f(x)=(x+4)/(x^2-3x-28)

e x t re m e f (x) = \frac{x + 4}{x ^{2} - 3 x - 28}

extreme f(x)=2+9x+3x^2-x^3

e x t re m e f (x) = 2 + 9 x + 3 x^{2} - x^{3}