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Beliebt Funktionen >

extreme f(x)=x(18-48+2x)(48/2-x)

Lösung

extrempunkte

f (x) = x (18 - 48 + 2 x) (\frac{48}{2} - x)

Lösung

Minimum (6, - 1944), Maximum (20, 800)

Schritte zur Lösung

f^{'} (x) = - 6 (x - 6) (x - 20)

Intervalle finden:

Absteigend

: - \infty < x < 6,

Ansteigend

: 6 < x < 20,

Absteigend

: 20 < x < \infty

Stecke

x = 6

in

x (18 - 48 + 2 x) (\frac{48}{2} - x) : - 1944

Minimum (6, - 1944)

Stecke

x = 20

in

x (18 - 48 + 2 x) (\frac{48}{2} - x) : 800

Maximum (20, 800)

Minimum (6, - 1944), Maximum (20, 800)

Graph

Beliebte Beispiele

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