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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Sattel (\frac{1}{2}, \frac{7}{12})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < \frac{1}{2},

Ansteigend

: \frac{1}{2} < x < \infty

Stecke

x = \frac{1}{2}

in

\frac{2 x ^{3}}{3} - x^{2} + \frac{x}{2} + \frac{1}{2} : \frac{7}{12}

Sattel (\frac{1}{2}, \frac{7}{12})

Graph

Beliebte Beispiele

extreme y=x^5-15x^3+100

e x t re m e y = x^{5} - 15 x^{3} + 100

extreme f(x)=(ln(x^2+1))

e x t re m e f (x) = (ln (x^{2} + 1))

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

e x t re m e f (x) = 3 x + 5 x^{- 1}

extreme f(x)=(x-1)^5

e x t re m e f (x) = (x - 1)^{5}

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

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