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Beliebt Funktionen >

extreme f(x)=2x^3-13x^2+24x-28

Lösung

extrempunkte

f (x) = 2 x^{3} - 13 x^{2} + 24 x - 28

Lösung

Maximum (\frac{4}{3}, - \frac{388}{27}), Minimum (3, - 19)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 26 x + 24

Intervalle finden:

Ansteigend

: - \infty < x < \frac{4}{3},

Absteigend

: \frac{4}{3} < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = \frac{4}{3}

in

2 x^{3} - 13 x^{2} + 24 x - 28 : - \frac{388}{27}

Maximum (\frac{4}{3}, - \frac{388}{27})

Stecke

x = 3

in

2 x^{3} - 13 x^{2} + 24 x - 28 : - 19

Minimum (3, - 19)

Maximum (\frac{4}{3}, - \frac{388}{27}), Minimum (3, - 19)

Graph

Beliebte Beispiele

extreme f(x,y)=x^3-y^3-2xy+7

e x t re m e f (x, y) = x^{3} - y^{3} - 2 x y + 7

extreme f(x,y)=(x^2+y^2)e^{y^2-x^2}

e x t re m e f (x, y) = (x^{2} + y^{2}) e^{y^{2} - x^{2}}

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e x t re m e f (x, y) = x^{3} - 6 x y + 3 y^{2} + 1