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Beliebt Funktionen >

extreme f(x)=2x^3-39x^2+240x-9

Lösung

extrempunkte

f (x) = 2 x^{3} - 39 x^{2} + 240 x - 9

Lösung

Maximum (5, 466), Minimum (8, 439)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 78 x + 240

Intervalle finden:

Ansteigend

: - \infty < x < 5,

Absteigend

: 5 < x < 8,

Ansteigend

: 8 < x < \infty

Stecke

x = 5

in

2 x^{3} - 39 x^{2} + 240 x - 9 : 466

Maximum (5, 466)

Stecke

x = 8

in

2 x^{3} - 39 x^{2} + 240 x - 9 : 439

Minimum (8, 439)

Maximum (5, 466), Minimum (8, 439)

Graph

Beliebte Beispiele

extreme f(x)=6cos(x)

e x t re m e f (x) = 6 cos (x)

extreme 2x^3+3x^2-12x-18

e x t re m e 2 x^{3} + 3 x^{2} - 12 x - 18

extreme f(x)=4.5x^2-7.1x+3.9

e x t re m e f (x) = 4.5 x^{2} - 7.1 x + 3.9

extreme x^3-9x^2+24x-12

e x t re m e x^{3} - 9 x^{2} + 24 x - 12

extreme sqrt(9-x^2),-3<= x<= 2

e x t re m e 9 - x^{2}, - 3 \leq x \leq 2