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Beliebt Funktionen >

extreme f(x)=-2x^3+42x^2-240x+5

Lösung

extrempunkte

f (x) = - 2 x^{3} + 42 x^{2} - 240 x + 5

Lösung

Minimum (4, - 411), Maximum (10, - 195)

Schritte zur Lösung

f^{'} (x) = - 6 x^{2} + 84 x - 240

Intervalle finden:

Absteigend

: - \infty < x < 4,

Ansteigend

: 4 < x < 10,

Absteigend

: 10 < x < \infty

Stecke

x = 4

in

- 2 x^{3} + 42 x^{2} - 240 x + 5 : - 411

Minimum (4, - 411)

Stecke

x = 10

in

- 2 x^{3} + 42 x^{2} - 240 x + 5 : - 195

Maximum (10, - 195)

Minimum (4, - 411), Maximum (10, - 195)

Graph

Beliebte Beispiele

extreme y=6x-x^2-2

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

extreme f(x)= 1/((x^2-2x+7))

e x t re m e f (x) = \frac{1}{( x ^{2} - 2 x + 7 )}

extreme f(x)=3x^2-27

e x t re m e f (x) = 3 x^{2} - 27

extreme x^2-14x+3

e x t re m e x^{2} - 14 x + 3

extreme f(x)=39+6x+(54)/x

e x t re m e f (x) = 39 + 6 x + \frac{54}{x}