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Beliebt Funktionen >

extreme x^2+x+2

Lösung

extrempunkte

x^{2} + x + 2

Lösung

Minimum (- \frac{1}{2}, \frac{7}{4})

Schritte zur Lösung

f^{'} (x) = 2 x + 1

Intervalle finden:

Absteigend

: - \infty < x < - \frac{1}{2},

Ansteigend

: - \frac{1}{2} < x < \infty

Stecke

x = - \frac{1}{2}

in

x^{2} + x + 2 : \frac{7}{4}

Minimum (- \frac{1}{2}, \frac{7}{4})

Graph

Beliebte Beispiele

extreme (x-5)/(x^2-18x+81)

e x t re m e \frac{x - 5}{x ^{2} - 18 x + 81}

extreme f(x,y)=x^3y^2+2xy-5

e x t re m e f (x, y) = x^{3} y^{2} + 2 x y - 5

extreme x^6-6/5 x^5

e x t re m e x^{6} - \frac{6}{5} x^{5}

extreme P(x,y)=0.3+x^2+0.2y^2+0.1xy-14x-10y+2000

e x t re m e P (x, y) = 0.3 + x^{2} + 0.2 y^{2} + 0.1 x y - 14 x - 10 y + 2000

extreme f(x,y)= 1/2 x^2+1/2 y^2-x^2y+5

e x t re m e f (x, y) = \frac{1}{2} x^{2} + \frac{1}{2} y^{2} - x^{2} y + 5