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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = \frac{3 x ^{2}}{2} - 2 x - 3

Lösung

Minimum (\frac{2}{3}, - \frac{11}{3})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < \frac{2}{3},

Ansteigend

: \frac{2}{3} < x < \infty

Stecke

x = \frac{2}{3}

in

\frac{3 x ^{2}}{2} - 2 x - 3 : - \frac{11}{3}

Minimum (\frac{2}{3}, - \frac{11}{3})

Graph

Beliebte Beispiele

extreme y=x^2e^{-z}

e x t re m e y = x^{2} e^{- z}

extreme f(x)=x^{12}-12x

e x t re m e f (x) = x^{12} - 12 x

extreme y= 1/3 x^2+2x+5

e x t re m e y = \frac{1}{3} x^{2} + 2 x + 5

extreme f(x)=2x^2+8y^2

e x t re m e f (x) = 2 x^{2} + 8 y^{2}

extreme f(x)=3x^5-25x^3+60x+1

e x t re m e f (x) = 3 x^{5} - 25 x^{3} + 60 x + 1