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Beliebt Funktionen >

extreme f(x)=4x^3+21x^2+36x-20

Lösung

extrempunkte

f (x) = 4 x^{3} + 21 x^{2} + 36 x - 20

Lösung

Maximum (- 2, - 40), Minimum (- \frac{3}{2}, - \frac{161}{4})

Schritte zur Lösung

f^{'} (x) = 12 x^{2} + 42 x + 36

Intervalle finden:

Ansteigend

: - \infty < x < - 2,

Absteigend

: - 2 < x < - \frac{3}{2},

Ansteigend

: - \frac{3}{2} < x < \infty

Stecke

x = - 2

in

4 x^{3} + 21 x^{2} + 36 x - 20 : - 40

Maximum (- 2, - 40)

Stecke

x = - \frac{3}{2}

in

4 x^{3} + 21 x^{2} + 36 x - 20 : - \frac{161}{4}

Minimum (- \frac{3}{2}, - \frac{161}{4})

Maximum (- 2, - 40), Minimum (- \frac{3}{2}, - \frac{161}{4})

Graph

Beliebte Beispiele

extreme (x^2-15)/(x-4)

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