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Beliebt Funktionen >

extreme f(x)=4x^3-39x^2+90x+2

Lösung

extrempunkte

f (x) = 4 x^{3} - 39 x^{2} + 90 x + 2

Lösung

Maximum (\frac{3}{2}, \frac{251}{4}), Minimum (5, - 23)

Schritte zur Lösung

f^{'} (x) = 12 x^{2} - 78 x + 90

Intervalle finden:

Ansteigend

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

Absteigend

: \frac{3}{2} < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = \frac{3}{2}

in

4 x^{3} - 39 x^{2} + 90 x + 2 : \frac{251}{4}

Maximum (\frac{3}{2}, \frac{251}{4})

Stecke

x = 5

in

4 x^{3} - 39 x^{2} + 90 x + 2 : - 23

Minimum (5, - 23)

Maximum (\frac{3}{2}, \frac{251}{4}), Minimum (5, - 23)

Graph

Beliebte Beispiele

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