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Beliebt Funktionen >

extreme f(x)=4x-3x^2+1

Lösung

extrempunkte

f (x) = 4 x - 3 x^{2} + 1

Lösung

Maximum (\frac{2}{3}, \frac{7}{3})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

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

Absteigend

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

Stecke

x = \frac{2}{3}

in

4 x - 3 x^{2} + 1 : \frac{7}{3}

Maximum (\frac{2}{3}, \frac{7}{3})

Graph

Beliebte Beispiele

extreme y=(x+7)(x+3)

e x t re m e y = (x + 7) (x + 3)

extreme R(M)=M^2(1/2-M/3)

e x t re m e R (M) = M^{2} (\frac{1}{2} - \frac{M}{3})

extreme f(x)=4xe^{-4x+1}

e x t re m e f (x) = 4 x e^{- 4 x + 1}

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

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

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

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