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Beliebt Funktionen >

extreme f(x)=5x^4-20x^3+1

Lösung

extrempunkte

f (x) = 5 x^{4} - 20 x^{3} + 1

Lösung

Sattel (0, 1), Minimum (3, - 134)

Schritte zur Lösung

f^{'} (x) = 20 x^{3} - 60 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 3,

Ansteigend

: 3 < x < \infty

Stecke

x = 0

in

5 x^{4} - 20 x^{3} + 1 : 1

Sattel (0, 1)

Stecke

x = 3

in

5 x^{4} - 20 x^{3} + 1 : - 134

Minimum (3, - 134)

Sattel (0, 1), Minimum (3, - 134)

Graph

Beliebte Beispiele

extreme f(x)=0.001x^2+3.2x-10

e x t re m e f (x) = 0.001 x^{2} + 3.2 x - 10

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

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

extreme f(x)=-7x^2-7xy-6y^2-35x-26y+9

e x t re m e f (x) = - 7 x^{2} - 7 x y - 6 y^{2} - 35 x - 26 y + 9

extreme 3(x-4)^{2/3}+6

e x t re m e 3 (x - 4)^{\frac{2}{3}} + 6

extreme y=x^3+3x^2

e x t re m e y = x^{3} + 3 x^{2}