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Beliebt Funktionen >

extreme f(x)= 1/(x^2-4x-21)

Lösung

extrempunkte

f (x) = \frac{1}{x ^{2} - 4 x - 21}

Lösung

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

Schritte zur Lösung

f^{'} (x) = - \frac{2 x - 4}{( x ^{2} - 4 x - 21 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Ansteigend

: - 3 < x < 2,

Absteigend

: 2 < x < 7,

Absteigend

: 7 < x < \infty

Stecke

x = 2

in

\frac{1}{x ^{2} - 4 x - 21} : - \frac{1}{25}

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

Graph

Beliebte Beispiele

extreme P(x,y)=16x^2-9y^2

e x t re m e P (x, y) = 16 x^{2} - 9 y^{2}

extreme f(x)=1920x-10x^3

e x t re m e f (x) = 1920 x - 10 x^{3}

extreme f(x)=100e^{-0.062*x}

e x t re m e f (x) = 100 e^{- 0.062 \cdot x}

extreme f(x)=7sin^2(x)-14cos(x)

e x t re m e f (x) = 7 sin^{2} (x) - 14 cos (x)

extreme f(x)=-3x^2-30x-21

e x t re m e f (x) = - 3 x^{2} - 30 x - 21