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Beliebt Funktionen >

extreme f(x)=x^3+3x^2-189x

Lösung

extrempunkte

f (x) = x^{3} + 3 x^{2} - 189 x

Lösung

Maximum (- 9, 1215), Minimum (7, - 833)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} + 6 x - 189

Intervalle finden:

Ansteigend

: - \infty < x < - 9,

Absteigend

: - 9 < x < 7,

Ansteigend

: 7 < x < \infty

Stecke

x = - 9

in

x^{3} + 3 x^{2} - 189 x : 1215

Maximum (- 9, 1215)

Stecke

x = 7

in

x^{3} + 3 x^{2} - 189 x : - 833

Minimum (7, - 833)

Maximum (- 9, 1215), Minimum (7, - 833)

Graph

Beliebte Beispiele

extreme f(x)=1-|x-7|

e x t re m e f (x) = 1 - ∣ x - 7 ∣

extreme f(x,y)=(x^2-49)^2+(y^2-9)^2

e x t re m e f (x, y) = (x^{2} - 49)^{2} + (y^{2} - 9)^{2}

extreme f(x)=12x^2-x^3

e x t re m e f (x) = 12 x^{2} - x^{3}

extreme x^3-3x+1,-3/2 <= x<= 3

e x t re m e x^{3} - 3 x + 1, - \frac{3}{2} \leq x \leq 3

extreme F(X,Y)=X(X+Y)+X(X+Y)

e x t re m e F (X, Y) = X (X + Y) + X (X + Y)