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Beliebt Funktionen >

extreme f(x)=7x^2+3/x

Lösung

extrempunkte

f (x) = 7 x^{2} + \frac{3}{x}

Lösung

Minimum (3 \frac{3}{14}, 7 (\frac{3}{14})^{\frac{2}{3}} + 3^{\frac{2}{3}} 314)

Schritte zur Lösung

f^{'} (x) = 14 x - \frac{3}{x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3 \frac{3}{14},

Ansteigend

: 3 \frac{3}{14} < x < \infty

Stecke

x = 3 \frac{3}{14}

in

7 x^{2} + \frac{3}{x} : 7 (\frac{3}{14})^{\frac{2}{3}} + 3^{\frac{2}{3}} 314

Minimum (3 \frac{3}{14}, 7 (\frac{3}{14})^{\frac{2}{3}} + 3^{\frac{2}{3}} 314)

Graph

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