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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (\frac{3}{2}, - \frac{3}{4})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

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

Absteigend

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

Stecke

x = \frac{3}{2}

in

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

Maximum (\frac{3}{2}, - \frac{3}{4})

Graph

Beliebte Beispiele

extreme f(x)=x(23-41+2x)(41/2-x)

e x t re m e f (x) = x (23 - 41 + 2 x) (\frac{41}{2} - x)

extreme x^3-3x^2-9x+2

e x t re m e x^{3} - 3 x^{2} - 9 x + 2

extreme x^3-3x^2-9x+4

e x t re m e x^{3} - 3 x^{2} - 9 x + 4

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

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

extreme f(x)=xsqrt(5-x^2)

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