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Beliebt Funktionen >

extreme 4x^3-210x^2+3600x-200

Lösung

extrempunkte

4 x^{3} - 210 x^{2} + 3600 x - 200

Lösung

Maximum (15, 20050), Minimum (20, 19800)

Schritte zur Lösung

f^{'} (x) = 12 x^{2} - 420 x + 3600

Intervalle finden:

Ansteigend

: - \infty < x < 15,

Absteigend

: 15 < x < 20,

Ansteigend

: 20 < x < \infty

Stecke

x = 15

in

4 x^{3} - 210 x^{2} + 3600 x - 200 : 20050

Maximum (15, 20050)

Stecke

x = 20

in

4 x^{3} - 210 x^{2} + 3600 x - 200 : 19800

Minimum (20, 19800)

Maximum (15, 20050), Minimum (20, 19800)

Graph

Beliebte Beispiele

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

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

extreme 1/3 x^3+1/2 x^2-2x

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

extreme f(x)=12x-x^3-y(y^2+3y-9)+4

e x t re m e f (x) = 12 x - x^{3} - y (y^{2} + 3 y - 9) + 4

extreme f(x)=sqrt(64-x^2)

e x t re m e f (x) = 64 - x^{2}

extreme f(x,y)=xy-4y-16x+64

e x t re m e f (x, y) = x y - 4 y - 16 x + 64