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Beliebt Funktionen >

extreme f(x)=x^2+8/x

Lösung

extrempunkte

f (x) = x^{2} + \frac{8}{x}

Lösung

Minimum (34, 4^{\frac{2}{3}} + \frac{8}{3 4})

Schritte zur Lösung

f^{'} (x) = 2 x - \frac{8}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 34,

Ansteigend

: 34 < x < \infty

Stecke

x = 34

in

x^{2} + \frac{8}{x} : 4^{\frac{2}{3}} + \frac{8}{3 4}

Minimum (34, 4^{\frac{2}{3}} + \frac{8}{3 4})

Graph

Beliebte Beispiele

extreme f(t)=2t+3e^{-kt}

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

extreme f(x,y)=100-x^2-y^2

e x t re m e f (x, y) = 100 - x^{2} - y^{2}

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

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

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

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

extreme f(x)=0.07x^3-1.6x^2+7.08x+5.48

e x t re m e f (x) = 0.07 x^{3} - 1.6 x^{2} + 7.08 x + 5.48