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Beliebt Funktionen >

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

Lösung

extrempunkte

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

Lösung

Maximum (0, 0), Minimum (1, - \frac{1}{6})

Schritte zur Lösung

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

Intervalle finden:

Ansteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 1,

Ansteigend

: 1 < x < \infty

Stecke

x = 0

in

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} : 0

Maximum (0, 0)

Stecke

x = 1

in

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} : - \frac{1}{6}

Minimum (1, - \frac{1}{6})

Maximum (0, 0), Minimum (1, - \frac{1}{6})

Graph

Beliebte Beispiele

extreme xsqrt(x^2+25)

e x t re m e x x^{2} + 25

extreme f(x,y)=2x^2+3xy+4y^2+2x-10y

e x t re m e f (x, y) = 2 x^{2} + 3 x y + 4 y^{2} + 2 x - 10 y

extreme f(x)=xe^{-6x},0<= x<= 2

e x t re m e f (x) = x e^{- 6 x}, 0 \leq x \leq 2

extreme f(x)=x^6(x-4)^5

e x t re m e f (x) = x^{6} (x - 4)^{5}

extreme P(q,s)=q+8+s

e x t re m e P (q, s) = q + 8 + s