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Beliebt Funktionen >

extreme sqrt(x)(8/5 x^3-2x^2)

Lösung

extrempunkte

x (\frac{8}{5} x^{3} - 2 x^{2})

Lösung

Maximum (0, 0), Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

Schritte zur Lösung

f^{'} (x) = \frac{x x ( 28 x - 25 )}{5}

Intervalle finden:

Absteigend

: 0 < x < \frac{25}{28},

Ansteigend

: \frac{25}{28} < x < \infty

Stecke

x = 0

in

x (\frac{8}{5} x^{3} - 2 x^{2}) : 0

Maximum (0, 0)

Stecke

x = \frac{25}{28}

in

x (\frac{8}{5} x^{3} - 2 x^{2}) : - \frac{3125}{2744 7}

Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

Maximum (0, 0), Minimum (\frac{25}{28}, - \frac{3125}{2744 7})

Graph

Beliebte Beispiele

extreme f(x)=ln((4-x)/(2+2x))

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

extreme f(x)=x^{(2)}-5x+4

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

extreme f(y)=-0.06x^2-0.02y^2-1.5xy-85x+69y

e x t re m e f (y) = - 0.06 x^{2} - 0.02 y^{2} - 1.5 x y - 85 x + 69 y

extreme f(x)=3x+5

e x t re m e f (x) = 3 x + 5

extreme p(t)=500e^{kt}

e x t re m e p (t) = 500 e^{k t}