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Beliebt Funktionen >

extreme f(x)=6x^3+27x^2-180x

Lösung

extrempunkte

f (x) = 6 x^{3} + 27 x^{2} - 180 x

Lösung

Maximum (- 5, 825), Minimum (2, - 204)

Schritte zur Lösung

f^{'} (x) = 18 x^{2} + 54 x - 180

Intervalle finden:

Ansteigend

: - \infty < x < - 5,

Absteigend

: - 5 < x < 2,

Ansteigend

: 2 < x < \infty

Stecke

x = - 5

in

6 x^{3} + 27 x^{2} - 180 x : 825

Maximum (- 5, 825)

Stecke

x = 2

in

6 x^{3} + 27 x^{2} - 180 x : - 204

Minimum (2, - 204)

Maximum (- 5, 825), Minimum (2, - 204)

Graph

Beliebte Beispiele

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

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

extreme f(x)=-4\sqrt[4]{x^2+y^2+81}

e x t re m e f (x) = - 4 4 x^{2} + y^{2} + 81

extreme 2x^3-33x^2+108x+5

e x t re m e 2 x^{3} - 33 x^{2} + 108 x + 5

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

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

extreme x^3-6x^2+2x-2

e x t re m e x^{3} - 6 x^{2} + 2 x - 2