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Beliebt Funktionen >

extreme x^3-9x^2+1

Lösung

extrempunkte

x^{3} - 9 x^{2} + 1

Lösung

Maximum (0, 1), Minimum (6, - 107)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 18 x

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

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

Maximum (0, 1)

Stecke

x = 6

in

x^{3} - 9 x^{2} + 1 : - 107

Minimum (6, - 107)

Maximum (0, 1), Minimum (6, - 107)

Graph

Beliebte Beispiele

extreme f(x)=(-24x^2-20x+24)/((x^2+1)^2)

e x t re m e f (x) = \frac{- 24 x ^{2} - 20 x + 24}{( x ^{2} + 1 ) ^{2}}

extreme f(x)=x^2+y^2+20x-8y

e x t re m e f (x) = x^{2} + y^{2} + 20 x - 8 y

extreme f(x)=x+y+8/(xy)

e x t re m e f (x) = x + y + \frac{8}{x y}

extreme f(x)=-15051x^2+47796x+13402

e x t re m e f (x) = - 15051 x^{2} + 47796 x + 13402

extreme y=-3x^5+5x^3+1

e x t re m e y = - 3 x^{5} + 5 x^{3} + 1