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Beliebt Funktionen >

extreme f(x)=x^{2/3}(20-x)

Lösung

extrempunkte

f (x) = x^{\frac{2}{3}} (20 - x)

Lösung

Minimum (0, 0), Maximum (8, 48)

Schritte zur Lösung

f^{'} (x) = - \frac{5 ( x - 8 )}{3 x ^{\frac{1}{3}}}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Ansteigend

: 0 < x < 8,

Absteigend

: 8 < x < \infty

Stecke

x = 0

in

x^{\frac{2}{3}} (20 - x) : 0

Minimum (0, 0)

Stecke

x = 8

in

x^{\frac{2}{3}} (20 - x) : 48

Maximum (8, 48)

Minimum (0, 0), Maximum (8, 48)

Graph

Beliebte Beispiele

extreme y=x^2+6z+z^2

e x t re m e y = x^{2} + 6 z + z^{2}

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

e x t re m e f (x) = (x - 1)^{2} (x - 3)

extreme f(x)=5x^2y-3xy^2-4x+3y

e x t re m e f (x) = 5 x^{2} y - 3 x y^{2} - 4 x + 3 y

extreme f(x)=tan(x)[-5,6]

e x t re m e f (x) = tan (x) [- 5, 6]

extreme-x^3+x^2+x+8

e x t re m e - x^{3} + x^{2} + x + 8