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Beliebt Funktionen >

extreme f(x)=13x^3+138x^2-103

Lösung

extrempunkte

f (x) = 13 x^{3} + 138 x^{2} - 103

Lösung

Maximum (- \frac{92}{13}, \frac{371937}{169}), Minimum (0, - 103)

Schritte zur Lösung

f^{'} (x) = 39 x^{2} + 276 x

Intervalle finden:

Ansteigend

: - \infty < x < - \frac{92}{13},

Absteigend

: - \frac{92}{13} < x < 0,

Ansteigend

: 0 < x < \infty

Stecke

x = - \frac{92}{13}

in

13 x^{3} + 138 x^{2} - 103 : \frac{371937}{169}

Maximum (- \frac{92}{13}, \frac{371937}{169})

Stecke

x = 0

in

13 x^{3} + 138 x^{2} - 103 : - 103

Minimum (0, - 103)

Maximum (- \frac{92}{13}, \frac{371937}{169}), Minimum (0, - 103)

Graph

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