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Beliebt Funktionen >

extreme y=(25/32 x^3+6400)/x

Lösung

extrempunkte

y = \frac{\frac{25}{32} x ^{3} + 6400}{x}

Lösung

Minimum (16, 600)

Schritte zur Lösung

f^{'} (x) = \frac{25 ( x ^{3} - 4096 )}{16 x ^{2}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 16,

Ansteigend

: 16 < x < \infty

Stecke

x = 16

in

\frac{\frac{25}{32} x ^{3} + 6400}{x} : 600

Minimum (16, 600)

Graph

Beliebte Beispiele

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