extreme f(x)=xsqrt(18-x)

Lösung

extrempunkte

f (x) = x 18 - x

Maximum (12, 126), Minimum (18, 0)

Schritte zur Lösung

f^{'} (x) = - \frac{3 ( x - 12 )}{2 18 - x}

Intervalle finden:

Ansteigend

: - \infty < x < 12,

Absteigend

: 12 < x < 18

Stecke

x = 12

x 18 - x : 126

Maximum (12, 126)

Stecke

x = 18

x 18 - x : 0

Minimum (18, 0)

Maximum (12, 126), Minimum (18, 0)

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