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Beliebt Funktionen >

extreme f(x)=ln(x^2+3x+9)

Lösung

extrempunkte

f (x) = ln (x^{2} + 3 x + 9)

Lösung

Minimum (- \frac{3}{2}, ln (\frac{27}{4}))

Schritte zur Lösung

f^{'} (x) = \frac{2 x + 3}{x ^{2} + 3 x + 9}

Intervalle finden:

Absteigend

: - \infty < x < - \frac{3}{2},

Ansteigend

: - \frac{3}{2} < x < \infty

Stecke

x = - \frac{3}{2}

in

ln (x^{2} + 3 x + 9) : ln (\frac{27}{4})

Minimum (- \frac{3}{2}, ln (\frac{27}{4}))

Graph

Beliebte Beispiele

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

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

extreme f(x)=((x-ln(x)))/x

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

extreme f(x,y)=e^{10x^2+4y^2+2}

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

extreme f(x)=ln(x^2+3x+8)

e x t re m e f (x) = ln (x^{2} + 3 x + 8)

extreme f(x)=9sin(3x)

e x t re m e f (x) = 9 sin (3 x)