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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Minimum (- \frac{2}{3}, - \frac{32}{3 3}), Maximum (\frac{2}{3}, \frac{32}{3 3})

Schritte zur Lösung

f^{'} (x) = 2 (4 - 3 x^{2})

Intervalle finden:

Absteigend

: - \infty < x < - \frac{2}{3},

Ansteigend

: - \frac{2}{3} < x < \frac{2}{3},

Absteigend

: \frac{2}{3} < x < \infty

Stecke

x = - \frac{2}{3}

in

2 x (4 - x^{2}) : - \frac{32}{3 3}

Minimum (- \frac{2}{3}, - \frac{32}{3 3})

Stecke

x = \frac{2}{3}

in

2 x (4 - x^{2}) : \frac{32}{3 3}

Maximum (\frac{2}{3}, \frac{32}{3 3})

Minimum (- \frac{2}{3}, - \frac{32}{3 3}), Maximum (\frac{2}{3}, \frac{32}{3 3})

Graph

Beliebte Beispiele

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