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Beliebt Funktionen >

extreme f(x)=20x-10sqrt(x-2)

Lösung

extrempunkte

f (x) = 20 x - 10 x - 2

Lösung

Minimum (2, 40), Maximum (\frac{33}{16}, \frac{155}{4})

Schritte zur Lösung

f^{'} (x) = 20 - \frac{5}{x - 2}

Intervalle finden:

Ansteigend

: 2 \leq x < 18,

Absteigend

: 18 < x < \infty

Stecke

x = 2

in

20 x - 10 x - 2 : 40

Minimum (2, 40)

Stecke

x = \frac{33}{16}

in

20 x - 10 x - 2 : \frac{155}{4}

Maximum (\frac{33}{16}, \frac{155}{4})

Minimum (2, 40), Maximum (\frac{33}{16}, \frac{155}{4})

Graph

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