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Beliebt Funktionen >

extreme f(x)=11-5x+x^2

Lösung

extrempunkte

f (x) = 11 - 5 x + x^{2}

Lösung

Minimum (\frac{5}{2}, \frac{19}{4})

Schritte zur Lösung

f^{'} (x) = 2 x - 5

Intervalle finden:

Absteigend

: - \infty < x < \frac{5}{2},

Ansteigend

: \frac{5}{2} < x < \infty

Stecke

x = \frac{5}{2}

in

11 - 5 x + x^{2} : \frac{19}{4}

Minimum (\frac{5}{2}, \frac{19}{4})

Graph

Beliebte Beispiele

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

e x t re m e f (x) = \frac{x ^{3}}{3} - 2 x^{2} + 4

extreme y=(sqrt(1-x^2))/x

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

extreme F(X,Y)=2X+3YX^2

e x t re m e F (X, Y) = 2 X + 3 Y X^{2}

extreme f(x)=(x^2-2x)/((x-1)^2)

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

extreme f(x)=x^2+xy+y^2-4y+5

e x t re m e f (x) = x^{2} + x y + y^{2} - 4 y + 5