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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (- 1 - 2, - 1 - 2 + ln (2 + 22))

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < - 1 - 2,

Absteigend

: - 1 - 2 < x < - 1,

Ansteigend

: 1 < x < \infty

Stecke

x = - 1 - 2

in

x + ln (x^{2} - 1) : - 1 - 2 + ln (2 + 22)

Maximum (- 1 - 2, - 1 - 2 + ln (2 + 22))

Graph

Beliebte Beispiele

extreme f(x)=2x^3-33x^2+168x+7

e x t re m e f (x) = 2 x^{3} - 33 x^{2} + 168 x + 7

extreme P(x,y)=10x^2-10y^2

e x t re m e P (x, y) = 10 x^{2} - 10 y^{2}

extreme f(x)=x^2e^{1-x}

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

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

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

extreme f(x,y)= 1/x+1/y-xy+3

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