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Beliebt Funktionen >

extreme f(x)=2x+(64)/(x^2)

Lösung

extrempunkte

f (x) = 2 x + \frac{64}{x ^{2}}

Lösung

Minimum (4, 12)

Schritte zur Lösung

f^{'} (x) = 2 - \frac{128}{x ^{3}}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 4

in

2 x + \frac{64}{x ^{2}} : 12

Minimum (4, 12)

Graph

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