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Beliebt Funktionen >

extreme y=(x-1)^3(x-5)

Lösung

extrempunkte

y = (x - 1)^{3} (x - 5)

Lösung

Sattel (1, 0), Minimum (4, - 27)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 1

in

(x - 1)^{3} (x - 5) : 0

Sattel (1, 0)

Stecke

x = 4

in

(x - 1)^{3} (x - 5) : - 27

Minimum (4, - 27)

Sattel (1, 0), Minimum (4, - 27)

Graph

Beliebte Beispiele

extreme f(x)=4x-6

e x t re m e f (x) = 4 x - 6

extreme f(x)=-2/(x^2),0.5<= x<= 2

e x t re m e f (x) = - \frac{2}{x ^{2}}, 0.5 \leq x \leq 2

extreme f(x)=-2/(x^2),0.5<= x<= 5

e x t re m e f (x) = - \frac{2}{x ^{2}}, 0.5 \leq x \leq 5

extreme f(x)=2-3x

e x t re m e f (x) = 2 - 3 x

extreme x^4-2x^2-y^2+3

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