extreme f(x)=x^{4/7}(11/4+x)

Lösung

extrempunkte

f (x) = x^{\frac{4}{7}} (\frac{11}{4} + x)

Maximum (- 1, \frac{7}{4}), Minimum (0, 0)

Schritte zur Lösung

f^{'} (x) = \frac{11 ( x + 1 )}{7 x ^{\frac{3}{7}}}

Intervalle finden:

Ansteigend

: - \infty < x < - 1,

Absteigend

: - 1 < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - 1

x^{\frac{4}{7}} (\frac{11}{4} + x) : \frac{7}{4}

Maximum (- 1, \frac{7}{4})

Stecke

x = 0

x^{\frac{4}{7}} (\frac{11}{4} + x) : 0

Minimum (0, 0)

Maximum (- 1, \frac{7}{4}), Minimum (0, 0)

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