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Beliebt Funktionen >

extreme f(x)=(x^2+2)/(x^2-16)

Lösung

extrempunkte

f (x) = \frac{x ^{2} + 2}{x ^{2} - 16}

Lösung

Maximum (0, - \frac{1}{8})

Schritte zur Lösung

f^{'} (x) = - \frac{36 x}{( x ^{2} - 16 ) ^{2}}

Intervalle finden:

Ansteigend

: - \infty < x < - 4,

Ansteigend

: - 4 < x < 0,

Absteigend

: 0 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = 0

in

\frac{x ^{2} + 2}{x ^{2} - 16} : - \frac{1}{8}

Maximum (0, - \frac{1}{8})

Graph

Beliebte Beispiele

extreme f(x,y)=x^3+12xy+y^4

e x t re m e f (x, y) = x^{3} + 12 x y + y^{4}

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e x t re m e 3 27 x^{2} - 2 x, - 1 \leq x \leq 2

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e x t re m e f (x) = x^{3} - 3 x^{2} + 7 x - 10

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e x t re m e f (x) = 4 x^{2} + y^{2} - 8