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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = ln (5 - 2 x^{2})

Lösung

Maximum (0, ln (5))

Schritte zur Lösung

f^{'} (x) = - \frac{4 x}{5 - 2 x ^{2}}

Intervalle finden:

Ansteigend

: - \frac{5}{2} < x < 0,

Absteigend

: 0 < x < \frac{5}{2}

Stecke

x = 0

in

ln (5 - 2 x^{2}) : ln (5)

Maximum (0, ln (5))

Graph

Beliebte Beispiele

extreme f(x)=2x^3-11/2 x^2-10x+2

e x t re m e f (x) = 2 x^{3} - \frac{11}{2} x^{2} - 10 x + 2

extreme f(x,y)=8y^2+5x^2-10y+6x-10

e x t re m e f (x, y) = 8 y^{2} + 5 x^{2} - 10 y + 6 x - 10

extreme f(x)=8x^5-120x^3+43

e x t re m e f (x) = 8 x^{5} - 120 x^{3} + 43

extreme f(x)=(x^2)/(x^4+1)

e x t re m e f (x) = \frac{x ^{2}}{x ^{4} + 1}

extreme f(x)=(8x)^3-(5x)^2-3x

e x t re m e f (x) = (8 x)^{3} - (5 x)^{2} - 3 x