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Beliebt Funktionen >

extreme f(x)=sqrt(x)-\sqrt[4]{x}

Lösung

extrempunkte

f (x) = x - 4 x

Lösung

Maximum (0, 0), Minimum (\frac{1}{16}, - \frac{1}{4})

Schritte zur Lösung

f^{'} (x) = \frac{1}{2 x} - \frac{1}{4 x ^{\frac{3}{4}}}

Intervalle finden:

Absteigend

: 0 < x < \frac{1}{16},

Ansteigend

: \frac{1}{16} < x < \infty

Stecke

x = 0

in

x - 4 x : 0

Maximum (0, 0)

Stecke

x = \frac{1}{16}

in

x - 4 x : - \frac{1}{4}

Minimum (\frac{1}{16}, - \frac{1}{4})

Maximum (0, 0), Minimum (\frac{1}{16}, - \frac{1}{4})

Graph

Beliebte Beispiele

extreme f(x)=x^2+(360)/x ,[0,infinity ]

e x t re m e f (x) = x^{2} + \frac{360}{x}, [0, \infty]

extreme f(x)=x^2y+xy^2

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

extreme f(x)=x^2-6x+11

e x t re m e f (x) = x^{2} - 6 x + 11

extreme f(x)=x+(256)/(x^2)

e x t re m e f (x) = x + \frac{256}{x ^{2}}

extreme 3x^2-12x+9

e x t re m e 3 x^{2} - 12 x + 9