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Beliebt Funktionen >

extreme f(x)=6x^{2/3}-x

Lösung

extrempunkte

f (x) = 6 x^{\frac{2}{3}} - x

Lösung

Minimum (0, 0), Maximum (64, 32)

Schritte zur Lösung

f^{'} (x) = \frac{4}{x ^{\frac{1}{3}}} - 1

Intervalle finden:

Absteigend

: - \infty < x < \frac{1}{64},

Ansteigend

: \frac{1}{64} < x < \infty

Stecke

x = 0

in

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

Minimum (0, 0)

Stecke

x = 64

in

6 x^{\frac{2}{3}} - x : 32

Maximum (64, 32)

Minimum (0, 0), Maximum (64, 32)

Graph

Beliebte Beispiele

extreme f(x)=-x^2-y^2+x+2y-1

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

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

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

extreme f(x)=x^2+y^2-4x=1

e x t re m e f (x) = x^{2} + y^{2} - 4 x = 1

extreme f(x)=x^3-7x-6

e x t re m e f (x) = x^{3} - 7 x - 6

extreme f(x)= x/(x^2+9),-5<= x<= 5

e x t re m e f (x) = \frac{x}{x ^{2} + 9}, - 5 \leq x \leq 5