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Beliebt Funktionen >

extreme (x+1)^3(x-3)

Lösung

extrempunkte

(x + 1)^{3} (x - 3)

Lösung

Sattel (- 1, 0), Minimum (2, - 27)

Schritte zur Lösung

f^{'} (x) = 4 (x + 1)^{2} (x - 2)

Intervalle finden:

Absteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 1

in

(x + 1)^{3} (x - 3) : 0

Sattel (- 1, 0)

Stecke

x = 2

in

(x + 1)^{3} (x - 3) : - 27

Minimum (2, - 27)

Sattel (- 1, 0), Minimum (2, - 27)

Graph

Beliebte Beispiele

extreme f(x)=2x^3+9x^2-60x+6,-5<= x<= 5

e x t re m e f (x) = 2 x^{3} + 9 x^{2} - 60 x + 6, - 5 \leq x \leq 5

extreme f(x)=x^{1/7}

e x t re m e f (x) = x^{\frac{1}{7}}

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

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

extreme f(x,y)=11x^2-2xy+2y^2+3

e x t re m e f (x, y) = 11 x^{2} - 2 x y + 2 y^{2} + 3

extreme y=(2e^{3x})/(-3x-1)

e x t re m e y = \frac{2 e ^{3 x}}{- 3 x - 1}