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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Sattel (0, 3), Minimum (6, - 105)

Schritte zur Lösung

f^{'} (x) = x^{3} - 6 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

\frac{1}{4} x^{4} - 2 x^{3} + 3 : 3

Sattel (0, 3)

Stecke

x = 6

in

\frac{1}{4} x^{4} - 2 x^{3} + 3 : - 105

Minimum (6, - 105)

Sattel (0, 3), Minimum (6, - 105)

Graph

Beliebte Beispiele

extreme f(x)=((-8x^3+3x^2))/4

e x t re m e f (x) = \frac{( - 8 x ^{3} + 3 x ^{2} )}{4}

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

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

extreme f(x,y)=y(e^x-1)

e x t re m e f (x, y) = y (e^{x} - 1)

extreme f(x)= x/(x^2+9),-4<= x<= 5

e x t re m e f (x) = \frac{x}{x ^{2} + 9}, - 4 \leq x \leq 5

extreme x^3+3x^2-24x

e x t re m e x^{3} + 3 x^{2} - 24 x