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Beliebt Funktionen >

extreme f(x)=2+3x^2-x^3

Lösung

extrempunkte

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

Lösung

Minimum (0, 2), Maximum (2, 6)

Schritte zur Lösung

f^{'} (x) = - 3 x^{2} + 6 x

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 2,

Absteigend

: 2 < x < \infty

Stecke

x = 0

in

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

Minimum (0, 2)

Stecke

x = 2

in

2 + 3 x^{2} - x^{3} : 6

Maximum (2, 6)

Minimum (0, 2), Maximum (2, 6)

Graph

Beliebte Beispiele

extreme f(x)= 1/4 x^4-4/3 x^3+2x^2

e x t re m e f (x) = \frac{1}{4} x^{4} - \frac{4}{3} x^{3} + 2 x^{2}

extreme f(λ)=x^2-y^2-λ(4x-7y-10)

e x t re m e f (λ) = x^{2} - y^{2} - λ (4 x - 7 y - 10)

e x t re m e 5 x^{2}

extreme y=8+x-x^2

e x t re m e y = 8 + x - x^{2}

extreme f(x)=-(x+2)^5(x-4)^4

e x t re m e f (x) = - (x + 2)^{5} (x - 4)^{4}