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Beliebt Funktionen >

extreme f(x)=4-(8+7x)^{2/7}

Lösung

extrempunkte

f (x) = 4 - (8 + 7 x)^{\frac{2}{7}}

Lösung

Maximum (- \frac{8}{7}, 4)

Schritte zur Lösung

f^{'} (x) = - \frac{2}{( 7 x + 8 ) ^{\frac{5}{7}}}

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{8}{7},

Absteigend

: - \frac{8}{7} < x < \infty

Stecke

x = - \frac{8}{7}

in

4 - (8 + 7 x)^{\frac{2}{7}} : 4

Maximum (- \frac{8}{7}, 4)

Graph

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