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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (\frac{3}{2}, - \frac{1}{2})

Schritte zur Lösung

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

Intervalle finden:

Absteigend

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

Ansteigend

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

Stecke

x = \frac{3}{2}

in

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

Minimum (\frac{3}{2}, - \frac{1}{2})

Graph

Beliebte Beispiele

extreme f(x)=2x^3+3x^2,1<= x<= 2

e x t re m e f (x) = 2 x^{3} + 3 x^{2}, 1 \leq x \leq 2

extreme y=x^3-8x^2-12x+8

e x t re m e y = x^{3} - 8 x^{2} - 12 x + 8

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

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

extreme e^{7x}+e^{-x}

e x t re m e e^{7 x} + e^{- x}

extreme f(x,y)=2+2x+4y-x^2-y^2

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