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Beliebt Funktionen >

extreme f(x)=6x^3-9x^2-216x+3

Lösung

extrempunkte

f (x) = 6 x^{3} - 9 x^{2} - 216 x + 3

Lösung

Maximum (- 3, 408), Minimum (4, - 621)

Schritte zur Lösung

f^{'} (x) = 18 x^{2} - 18 x - 216

Intervalle finden:

Ansteigend

: - \infty < x < - 3,

Absteigend

: - 3 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = - 3

in

6 x^{3} - 9 x^{2} - 216 x + 3 : 408

Maximum (- 3, 408)

Stecke

x = 4

in

6 x^{3} - 9 x^{2} - 216 x + 3 : - 621

Minimum (4, - 621)

Maximum (- 3, 408), Minimum (4, - 621)

Graph

Beliebte Beispiele

extreme f(x)=-x^2+6,-3<= x<= 4

e x t re m e f (x) = - x^{2} + 6, - 3 \leq x \leq 4

extreme f(x)=6-5x-x^3

e x t re m e f (x) = 6 - 5 x - x^{3}

extreme f(x)=(x^2-2x+1)/(x-9)

e x t re m e f (x) = \frac{x ^{2} - 2 x + 1}{x - 9}

extreme f(x)=(x+3)^4+3

e x t re m e f (x) = (x + 3)^{4} + 3

extreme e^{2x}(x^2-2)

e x t re m e e^{2 x} (x^{2} - 2)