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Beliebt Funktionen >

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

Lösung

extrempunkte

f (x) = 2 x^{3} - 2 x^{4}

Lösung

Sattel (0, 0), Maximum (\frac{3}{4}, \frac{27}{128})

Schritte zur Lösung

f^{'} (x) = 6 x^{2} - 8 x^{3}

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < \frac{3}{4},

Absteigend

: \frac{3}{4} < x < \infty

Stecke

x = 0

in

2 x^{3} - 2 x^{4} : 0

Sattel (0, 0)

Stecke

x = \frac{3}{4}

in

2 x^{3} - 2 x^{4} : \frac{27}{128}

Maximum (\frac{3}{4}, \frac{27}{128})

Sattel (0, 0), Maximum (\frac{3}{4}, \frac{27}{128})

Graph

Beliebte Beispiele

extreme f(x)=sqrt(x)((x^2)/5-4)

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

extreme-x^2-6x-4

e x t re m e - x^{2} - 6 x - 4

extreme f(x)= x/(x-9),11<= x<= 13

e x t re m e f (x) = \frac{x}{x - 9}, 11 \leq x \leq 13

extreme f(x)=xsqrt(1-x)

e x t re m e f (x) = x 1 - x

extreme f(x)=(x+1)/(2x+x+1)

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