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Beliebt Funktionen >

extreme f(x)=x^2 1/(x-1)

Lösung

extrempunkte

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

Lösung

Maximum (0, 0), Minimum (2, 4)

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Absteigend

: 1 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = 0

in

x^{2} \frac{1}{x - 1} : 0

Maximum (0, 0)

Stecke

x = 2

in

x^{2} \frac{1}{x - 1} : 4

Minimum (2, 4)

Maximum (0, 0), Minimum (2, 4)

Graph

Beliebte Beispiele

extreme f(x)=x[18-2(x)]^2

e x t re m e f (x) = x [18 - 2 (x)]^{2}

extreme f(x,y)=x^2-3y^2-8x+9y+3xy

e x t re m e f (x, y) = x^{2} - 3 y^{2} - 8 x + 9 y + 3 x y

extreme f(d,y)= d/(d^2)(y)

e x t re m e f (d, y) = \frac{d}{d ^{2}} (y)

extreme y=-5cos(3x)-2

e x t re m e y = - 5 cos (3 x) - 2

extreme f(x,y)=3x^{1/3}y^{1/3}

e x t re m e f (x, y) = 3 x^{\frac{1}{3}} y^{\frac{1}{3}}