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Beliebt Funktionen >

extreme f(x)=x+ln(x^2-3)

Lösung

extrempunkte

f (x) = x + ln (x^{2} - 3)

Lösung

Maximum (- 3, - 3 + ln (6))

Schritte zur Lösung

f^{'} (x) = 1 + \frac{2 x}{x ^{2} - 3}

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < - 3,

Ansteigend

: 3 < x < \infty

Stecke

x = - 3

in

x + ln (x^{2} - 3) : - 3 + ln (6)

Maximum (- 3, - 3 + ln (6))

Graph

Beliebte Beispiele

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

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

extreme f(x,y)=e^y(y^2-x^2)

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

extreme f(x)=2x^3-6x^2-18x+7

e x t re m e f (x) = 2 x^{3} - 6 x^{2} - 18 x + 7

extreme f(x,y)=2x-y+2

e x t re m e f (x, y) = 2 x - y + 2

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

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