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Beliebt Funktionen >

extreme f(x)=3x^2-5x-4

Lösung

extrempunkte

f (x) = 3 x^{2} - 5 x - 4

Lösung

Minimum (\frac{5}{6}, - \frac{73}{12})

Schritte zur Lösung

f^{'} (x) = 6 x - 5

Intervalle finden:

Absteigend

: - \infty < x < \frac{5}{6},

Ansteigend

: \frac{5}{6} < x < \infty

Stecke

x = \frac{5}{6}

in

3 x^{2} - 5 x - 4 : - \frac{73}{12}

Minimum (\frac{5}{6}, - \frac{73}{12})

Graph

Beliebte Beispiele

extreme f(x)=sqrt(x+1)

e x t re m e f (x) = x + 1

extreme f(x)=xe^{-5x^2}

e x t re m e f (x) = x e^{- 5 x^{2}}

extreme f(x)=x^3-12x^2+1

e x t re m e f (x) = x^{3} - 12 x^{2} + 1

extreme 1-x^{2/3}

e x t re m e 1 - x^{\frac{2}{3}}

extreme f(x,y)=x^2-0.5y^2+3x

e x t re m e f (x, y) = x^{2} - 0.5 y^{2} + 3 x