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Beliebt Funktionen >

extreme ln(x^2+4)

Lösung

extrempunkte

ln (x^{2} + 4)

Lösung

Minimum (0, 2 ln (2))

Schritte zur Lösung

f^{'} (x) = \frac{2 x}{x ^{2} + 4}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = 0

in

ln (x^{2} + 4) : 2 ln (2)

Minimum (0, 2 ln (2))

Graph

Beliebte Beispiele

extreme f(x)=x^4-32x^2+10

e x t re m e f (x) = x^{4} - 32 x^{2} + 10

extreme f(x)=x^3+y^3+3x^2-9y^2-1

e x t re m e f (x) = x^{3} + y^{3} + 3 x^{2} - 9 y^{2} - 1

extreme (x^2)/(x^2+243)

e x t re m e \frac{x ^{2}}{x ^{2} + 243}

extreme f(x)=6sin^2(x)+6sin(x)

e x t re m e f (x) = 6 sin^{2} (x) + 6 sin (x)

extreme f(x)=3^2-6x-9=0

e x t re m e f (x) = 3^{2} - 6 x - 9 = 0