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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (- \frac{1}{6}, - \frac{25}{12})

Schritte zur Lösung

f^{'} (x) = 6 x + 1

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = - \frac{1}{6}

in

3 x^{2} + x - 2 : - \frac{25}{12}

Minimum (- \frac{1}{6}, - \frac{25}{12})

Graph

Beliebte Beispiele

extreme (x^2-11)/(x+6)

e x t re m e \frac{x ^{2} - 11}{x + 6}

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

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

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

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

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

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

extreme 1/3 (x-2.1)^2+7.9

e x t re m e \frac{1}{3} (x - 2.1)^{2} + 7.9