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Beliebt Funktionen >

extreme f(x)=xln(x)-x

Lösung

extrempunkte

f (x) = x ln (x) - x

Lösung

Minimum (1, - 1)

Schritte zur Lösung

f^{'} (x) = ln (x)

Intervalle finden:

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

in

x ln (x) - x : - 1

Minimum (1, - 1)

Graph

Beliebte Beispiele

extreme f(x)=6+3x-3x^2,0<= x<= 3

e x t re m e f (x) = 6 + 3 x - 3 x^{2}, 0 \leq x \leq 3

extreme (x^2+x)/(x-1)

e x t re m e \frac{x ^{2} + x}{x - 1}

extreme (ln(x))/(6x)

e x t re m e \frac{ln ( x )}{6 x}

extreme h(x)=-6x^3+18x^2+3

e x t re m e h (x) = - 6 x^{3} + 18 x^{2} + 3

extreme F(x)=(2x)/(x^2+16),-8<= x<= 8

e x t re m e F (x) = \frac{2 x}{x ^{2} + 16}, - 8 \leq x \leq 8