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Beliebt Funktionen >

extreme f(x)=2x-24x^{1/3}

Lösung

extrempunkte

f (x) = 2 x - 24 x^{\frac{1}{3}}

Lösung

Minimum (- 8, 32), Maximum (0, 0), Minimum (8, - 32)

Schritte zur Lösung

f^{'} (x) = 2 - \frac{8}{x ^{\frac{2}{3}}}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{1}{8},

Ansteigend

: - \frac{1}{8} < x < \frac{1}{8},

Absteigend

: \frac{1}{8} < x < \infty

Stecke

x = - 8

in

2 x - 24 x^{\frac{1}{3}} : 32

Minimum (- 8, 32)

Stecke

x = 0

in

2 x - 24 x^{\frac{1}{3}} : 0

Maximum (0, 0)

Stecke

x = 8

in

2 x - 24 x^{\frac{1}{3}} : - 32

Minimum (8, - 32)

Minimum (- 8, 32), Maximum (0, 0), Minimum (8, - 32)

Graph

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