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Beliebt Funktionen >

extreme (x^3)/3-(3x^2)/2-4x+8

Lösung

extrempunkte

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + 8

Lösung

Maximum (- 1, \frac{61}{6}), Minimum (4, - \frac{32}{3})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = - 1

in

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + 8 : \frac{61}{6}

Maximum (- 1, \frac{61}{6})

Stecke

x = 4

in

\frac{x ^{3}}{3} - \frac{3 x ^{2}}{2} - 4 x + 8 : - \frac{32}{3}

Minimum (4, - \frac{32}{3})

Maximum (- 1, \frac{61}{6}), Minimum (4, - \frac{32}{3})

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+9y^4-20x^2y+2

e x t re m e f (x, y) = x^{3} + 9 y^{4} - 20 x^{2} y + 2

extreme 2x^3+3x^2+4

e x t re m e 2 x^{3} + 3 x^{2} + 4

extreme f(x)=x^2+2y^2-4x+8y

e x t re m e f (x) = x^{2} + 2 y^{2} - 4 x + 8 y

extreme f(x)=(2-x)/(5+x)

e x t re m e f (x) = \frac{2 - x}{5 + x}

extreme f(x)=x^{(2/5)}(7/(2+x))

e x t re m e f (x) = x^{(\frac{2}{5})} (\frac{7}{2 + x})