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Beliebt Funktionen >

extreme f(x)=2x^3-15x^2+24x

Lösung

extrempunkte

f (x) = 2 x^{3} - 15 x^{2} + 24 x

Lösung

Maximum (1, 11), Minimum (4, - 16)

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 30 x + 24

Intervalle finden:

Ansteigend

: - \infty < x < 1,

Absteigend

: 1 < x < 4,

Ansteigend

: 4 < x < \infty

Stecke

x = 1

in

2 x^{3} - 15 x^{2} + 24 x : 11

Maximum (1, 11)

Stecke

x = 4

in

2 x^{3} - 15 x^{2} + 24 x : - 16

Minimum (4, - 16)

Maximum (1, 11), Minimum (4, - 16)

Graph

Beliebte Beispiele

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

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

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

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

extreme K(r,s)=8r-s

e x t re m e K (r, s) = 8 r - s

extreme f(x)= 1/3 x^3-1/2 x^2-6x

e x t re m e f (x) = \frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x

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

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