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Beliebt Funktionen >

extreme 1/(x^2-x-6)

Lösung

extrempunkte

\frac{1}{x ^{2} - x - 6}

Lösung

Maximum (\frac{1}{2}, - \frac{4}{25})

Schritte zur Lösung

f^{'} (x) = - \frac{2 x - 1}{( x ^{2} - x - 6 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Ansteigend

: - 2 < x < \frac{1}{2},

Absteigend

: \frac{1}{2} < x < 3,

Absteigend

: 3 < x < \infty

Stecke

x = \frac{1}{2}

in

\frac{1}{x ^{2} - x - 6} : - \frac{4}{25}

Maximum (\frac{1}{2}, - \frac{4}{25})

Graph

Beliebte Beispiele

extreme f(x)=4x^3-46x^2+120x

e x t re m e f (x) = 4 x^{3} - 46 x^{2} + 120 x

extreme 4x^3-12x^2+8x

e x t re m e 4 x^{3} - 12 x^{2} + 8 x

extreme f(x)=4x^2-6xy+5y^2-20x+26y

e x t re m e f (x) = 4 x^{2} - 6 x y + 5 y^{2} - 20 x + 26 y

extreme y=x^2-12

e x t re m e y = x^{2} - 12

extreme f(x)=x^3e^{(4-2x^2)}

e x t re m e f (x) = x^{3} e^{(4 - 2 x^{2})}