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Beliebt Funktionen >

extreme f(x)=4+x+x^2

Lösung

extrempunkte

f (x) = 4 + x + x^{2}

Lösung

Minimum (- \frac{1}{2}, \frac{15}{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

4 + x + x^{2} : \frac{15}{4}

Minimum (- \frac{1}{2}, \frac{15}{4})

Graph

Beliebte Beispiele

extreme f(x)=x+(23)/x

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

extreme U(x,t)=e^{(x^2-t^2)}

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

extreme f(x,y)=-6x^2+4y^2+2x+4y+8

e x t re m e f (x, y) = - 6 x^{2} + 4 y^{2} + 2 x + 4 y + 8

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

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

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

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