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Beliebt Funktionen >

extreme f(x)=x^3-45x^2+243x+30000

Lösung

extrempunkte

f (x) = x^{3} - 45 x^{2} + 243 x + 30000

Lösung

Maximum (3, 30351), Minimum (27, 23439)

Schritte zur Lösung

f^{'} (x) = 3 x^{2} - 90 x + 243

Intervalle finden:

Ansteigend

: - \infty < x < 3,

Absteigend

: 3 < x < 27,

Ansteigend

: 27 < x < \infty

Stecke

x = 3

in

x^{3} - 45 x^{2} + 243 x + 30000 : 30351

Maximum (3, 30351)

Stecke

x = 27

in

x^{3} - 45 x^{2} + 243 x + 30000 : 23439

Minimum (27, 23439)

Maximum (3, 30351), Minimum (27, 23439)

Graph

Beliebte Beispiele

e x t re m e - 7 x + 2

extreme f(x)= 1/4 x^4-3x^3+4x^2

e x t re m e f (x) = \frac{1}{4} x^{4} - 3 x^{3} + 4 x^{2}

extreme f(x)=-x^3+27x-63

e x t re m e f (x) = - x^{3} + 27 x - 63

extreme f(x)=3x^2-9y^2

e x t re m e f (x) = 3 x^{2} - 9 y^{2}

extreme f(x,y)=4-x^2-2y^2

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