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Beliebt Funktionen >

extreme f(x)=2x^3+3x^2-120x+9

Lösung

extrempunkte

f (x) = 2 x^{3} + 3 x^{2} - 120 x + 9

Lösung

Maximum (- 5, 434), Minimum (4, - 295)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} + 6 x - 120

Intervalle finden:

Ansteigend

: - \infty < x < - 5,

Absteigend

: - 5 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = - 5

in

2 x^{3} + 3 x^{2} - 120 x + 9 : 434

Maximum (- 5, 434)

Stecke

x = 4

in

2 x^{3} + 3 x^{2} - 120 x + 9 : - 295

Minimum (4, - 295)

Maximum (- 5, 434), Minimum (4, - 295)

Graph

Beliebte Beispiele

extreme f(x)=x^3+12x^2-27x+6,-10<= x<= 0

e x t re m e f (x) = x^{3} + 12 x^{2} - 27 x + 6, - 10 \leq x \leq 0

extreme y=(2x^2-1)^2

e x t re m e y = (2 x^{2} - 1)^{2}

extreme f(x)= 6/(-4x+2)

e x t re m e f (x) = \frac{6}{- 4 x + 2}

extreme f(y)=x^{y+1}

e x t re m e f (y) = x^{y + 1}

extreme f(x)=x^2log_{8}(x)

e x t re m e f (x) = x^{2} lo g_{8} (x)