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Beliebt Funktionen >

extreme f(x)=(8x)/(x^2+16)

Lösung

extrempunkte

f (x) = \frac{8 x}{x ^{2} + 16}

Lösung

Minimum (- 4, - 1), Maximum (4, 1)

Schritte zur Lösung

f^{'} (x) = \frac{8 ( - x ^{2} + 16 )}{( x ^{2} + 16 ) ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < - 4,

Ansteigend

: - 4 < x < 4,

Absteigend

: 4 < x < \infty

Stecke

x = - 4

in

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

Minimum (- 4, - 1)

Stecke

x = 4

in

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

Maximum (4, 1)

Minimum (- 4, - 1), Maximum (4, 1)

Graph

Beliebte Beispiele

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