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Beliebt Funktionen >

extreme f(x)=x^2+9x+14

Lösung

extrempunkte

f (x) = x^{2} + 9 x + 14

Lösung

Minimum (- \frac{9}{2}, - \frac{25}{4})

Schritte zur Lösung

f^{'} (x) = 2 x + 9

Intervalle finden:

Absteigend

: - \infty < x < - \frac{9}{2},

Ansteigend

: - \frac{9}{2} < x < \infty

Stecke

x = - \frac{9}{2}

in

x^{2} + 9 x + 14 : - \frac{25}{4}

Minimum (- \frac{9}{2}, - \frac{25}{4})

Graph

Beliebte Beispiele

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

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

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

e x t re m e f (x) = \frac{x ^{4}}{4} - \frac{4 x ^{3}}{3} + 2 x^{2} - 1

extreme-30x^2-25y^2+480x+300y+170

e x t re m e - 30 x^{2} - 25 y^{2} + 480 x + 300 y + 170

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

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

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

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