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Beliebt Funktionen >

extreme y=x^2-2ln(x)

Lösung

extrempunkte

y = x^{2} - 2 ln (x)

Lösung

Minimum (1, 1)

Schritte zur Lösung

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

Intervalle finden:

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 1

in

x^{2} - 2 ln (x) : 1

Minimum (1, 1)

Graph

Beliebte Beispiele

extreme f(x)=x^2(x-1)(2x+1)+y^2

e x t re m e f (x) = x^{2} (x - 1) (2 x + 1) + y^{2}

extreme f(x)=(4x-8)/(x^3)

e x t re m e f (x) = \frac{4 x - 8}{x ^{3}}

extreme f(x)=3x(x-5)^2

e x t re m e f (x) = 3 x (x - 5)^{2}

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

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

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

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