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Beliebt Funktionen >

extreme y=2x^3-24x^2+90x+8

Lösung

extrempunkte

y = 2 x^{3} - 24 x^{2} + 90 x + 8

Lösung

Maximum (3, 116), Minimum (5, 108)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 48 x + 90

Intervalle finden:

Ansteigend

: - \infty < x < 3,

Absteigend

: 3 < x < 5,

Ansteigend

: 5 < x < \infty

Stecke

x = 3

in

2 x^{3} - 24 x^{2} + 90 x + 8 : 116

Maximum (3, 116)

Stecke

x = 5

in

2 x^{3} - 24 x^{2} + 90 x + 8 : 108

Minimum (5, 108)

Maximum (3, 116), Minimum (5, 108)

Graph

Beliebte Beispiele

extreme f(x)=x^{2/3}(x-3)

e x t re m e f (x) = x^{\frac{2}{3}} (x - 3)

extreme f(x)=4x^3-24x^2+36x

e x t re m e f (x) = 4 x^{3} - 24 x^{2} + 36 x

extreme x^3-12x^2-45x+8

e x t re m e x^{3} - 12 x^{2} - 45 x + 8

extreme g(t)=e^{4t^3}xln(3t-1)

e x t re m e g (t) = e^{4 t^{3}} x ln (3 t - 1)

extreme x^2-y^2-2x+4y+6

e x t re m e x^{2} - y^{2} - 2 x + 4 y + 6