extreme sqrt(x)*7-x

Lösung

extrempunkte

x \cdot 7 - x

Minimum (0, 0), Maximum (\frac{49}{4}, \frac{49}{4})

Schritte zur Lösung

f^{'} (x) = \frac{7}{2 x} - 1

Intervalle finden:

Ansteigend

: 0 < x < \frac{49}{4},

Absteigend

: \frac{49}{4} < x < \infty

Stecke

x = 0

x \cdot 7 - x : 0

Minimum (0, 0)

Stecke

x = \frac{49}{4}

x \cdot 7 - x : \frac{49}{4}

Maximum (\frac{49}{4}, \frac{49}{4})

Minimum (0, 0), Maximum (\frac{49}{4}, \frac{49}{4})

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