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Beliebt Funktionen >

extreme x^2+(405000)/x

Lösung

extrempunkte

x^{2} + \frac{405000}{x}

Lösung

Minimum (15360, 225 \cdot 6 0^{\frac{2}{3}} + \frac{1800 \cdot 1 5 ^{\frac{2}{3}}}{3 4})

Schritte zur Lösung

f^{'} (x) = 2 x - \frac{405000}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 15360,

Ansteigend

: 15360 < x < \infty

Stecke

x = 15360

in

x^{2} + \frac{405000}{x} : 225 \cdot 6 0^{\frac{2}{3}} + \frac{1800 \cdot 1 5 ^{\frac{2}{3}}}{3 4}

Minimum (15360, 225 \cdot 6 0^{\frac{2}{3}} + \frac{1800 \cdot 1 5 ^{\frac{2}{3}}}{3 4})

Graph

Beliebte Beispiele

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