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Beliebt Funktionen >

extreme f(x)=x^3-9/2 x^2+1

Lösung

extrempunkte

f (x) = x^{3} - \frac{9}{2} x^{2} + 1

Lösung

Maximum (0, 1), Minimum (3, - \frac{25}{2})

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 9 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 0

in

x^{3} - \frac{9}{2} x^{2} + 1 : 1

Maximum (0, 1)

Stecke

x = 3

in

x^{3} - \frac{9}{2} x^{2} + 1 : - \frac{25}{2}

Minimum (3, - \frac{25}{2})

Maximum (0, 1), Minimum (3, - \frac{25}{2})

Graph

Beliebte Beispiele

extreme y=2x^2+z^2

e x t re m e y = 2 x^{2} + z^{2}

extreme f(x,y)=1-3x^4-6x^2y+2y^3

e x t re m e f (x, y) = 1 - 3 x^{4} - 6 x^{2} y + 2 y^{3}

extreme f(x)=8x^3+13x

e x t re m e f (x) = 8 x^{3} + 13 x

extreme 2(1/2)^x

e x t re m e 2 (\frac{1}{2})^{x}

extreme f(x)=((x-4)^2)/(x+10)

e x t re m e f (x) = \frac{( x - 4 ) ^{2}}{x + 10}